Self-as-an-End
SAE Buddhist Interface Series · Paper V

Mutual Interpenetration and Non-Doubt: An Interface Analysis between Self-as-an-End and Huayan Buddhism
互摄与不疑:Self-as-an-End 与华严宗之结构接口

Han Qin (秦汉) · Independent Researcher · 2026
DOI: 10.5281/zenodo.21201035 · Full PDF on Zenodo · CC BY 4.0
Abstract

This is the fifth paper in the Self-as-an-End (SAE) Buddhist Interface Series, conducting a structural interface analysis between Huayan Buddhism and SAE. By an interface analysis is meant the simultaneous marking, between two frameworks, of where they correspond and where they are mutually untranslatable — neither a translation nor an absorption. Of all the schools the series has met, Huayan shows most sharply the force of a whole-without-outside: the myriad dharmas arise from the one true dharma-realm, from dharma-nature; and so it stands to SAE's bottom-up, sourceless chisel-construct in the sharpest counter-sign the series has yet drawn. This "sharpest" is a remark of location, not of temperature — it does not say Huayan is "higher" or "more thorough" within Buddhism, nor that it stands above SAE on some shared measuring-rod.

The geometric root of the paper is a pair of counter-signs — two axes on which Huayan and SAE are point-for-point opposed, each complete, and yet not contradictory. On the process axis, Huayan has no external first cause at its origin yet has a nameable, enterable ultimate ("a Highest": the dependent arising of the dharma-realm, the Perfect teaching), whereas SAE has a formal-axiomatic starting element yet no closed terminal state (Negativa; the remainder is perpetually external). On the ground-character axis, Huayan grounds in substance, in dharma-nature — the fullness of presence — whereas SAE grounds in negation (Negativa). Because its answer is a structural counter-sign rather than a boundary appended in a closing clause, this paper is able to answer "why untranslatable" more firmly than the first four.

The primary interface reads Huayan's five teachings as a non-strict developmental ladder mapped onto 13DD–15DD+, whose summit (the Perfect teaching, at 15DD and above but not 16DD) parts from SAE's summit (16DD) at the topology of the terminal state. Subordinate interfaces: Sudhana's pilgrimage (a distributed pilgrimage on the cultivated party's side) and Samantabhadra's vows (a weak directional interface), both showing that Huayan does not abandon the other yet ends its movement-toward-the-other in the whole; and principle-phenomena non-obstruction, placed on the boundary-list (formally alike, but in content a boundary). The central untranslatable lies at how the completeness of a 15DD-and-above relation terminates: Huayan realizes it as the unobstructed mutual interpenetration of all nodes, all fully present at once — layer upon layer without end, one is all; SAE realizes it as mutual non-doubt among nodes that still cannot be unilaterally exhausted. Both are complete terminal states, and they are mutually untranslatable. On six structures the paper registers three pure seams (the unobstructed interpenetration of phenomena, the ten profound gates, the dependent arising of the dharma-realm), two partial interfaces (Indra's net; nature-arising), and one usable point of entry (the perfect interfusion of the six characteristics). The conclusion: Huayan is not an unfinished SAE, nor is SAE an un-perfected Huayan; the two meet in structure and part at the origin and the ground.

Keywords: Self-as-an-End; Huayan Buddhism; the unobstructed interpenetration of phenomena; the dependent arising of the dharma-realm; nature-arising; the five teachings; Fazang; counter-sign; a whole-without-outside; interface analysis

0. Introduction: Two Complete Terminal States, Two Philosophies That Run Straight Through Each Other

This is the fifth paper in the SAE Buddhist Interface Series; it interfaces Huayan. Its method is interface analysis: marking, between two frameworks, both where they correspond and where they cannot be translated into one another — neither a translation nor an absorption.

Two lifelines must first be set up, and they run through the whole paper: do not read Huayan as an unfinished SAE; do not read SAE as an un-perfected Huayan. The first holds a vertical gap from opening (Huayan is not a rung, an approximation, or a deficient stage of SAE); the second holds that what this paper interfaces is Huayan's own self-understanding, not a Huayan made over into SAE. This paper's task is to mark seams between two frameworks each already complete, not to judge one the transitional form of the other.

Among the series' schools, Huayan shows most sharply the force of a whole-without-outside — the myriad dharmas arise from the one true dharma-realm, from dharma-nature, and so stand to SAE's bottom-up, sourceless chisel-construct in the sharpest counter-sign. A boundary must be set on this word "sharpest": it marks only that Huayan and SAE form the sharpest counter-sign along an interface path; it does not say that Huayan is "higher" or "more thorough" than Tiantai within Buddhism, nor that it ranks above on some common doctrinal-classification rod. This paper interfaces Huayan's own self-understanding (Huayan takes the Avataṃsaka to be the sudden-and-perfect, and takes nature-arising to be the arising of function from substance); it adopts neither Tiantai's doctrinal-classification verdict on Huayan (that the Avataṃsaka's broadcast is pitched too high) nor Huayan's self-classification as the Perfect teaching of the One Vehicle — these two verdicts run opposite, and neither is adopted; the paper only interfaces, coldly, Huayan's own structure.

The geometric root of the paper is a pair of counter-signs, named in the Introduction but not yet unfolded: Huayan and SAE are point-for-point opposed on two axes — origin and ground — each complete, and not contradictory. Huayan has no external first cause at its origin yet has its "Highest" as terminus (the dependent arising of the dharma-realm; the Perfect teaching); SAE has a formal-axiomatic origin yet no closed terminus (Negativa; the remainder perpetually external). And Huayan grounds in substance, in dharma-nature (the fullness of presence); SAE grounds in negation (Negativa). These two counter-signs are the root of every seam in the paper. The paper can answer "why mutually untranslatable" more firmly than the first four precisely because its answer is a structural counter-sign and not a boundary tacked on at the end of a sentence. (A counter-sign, in this paper's sense: two lines that lie on a single shared axis, equal in magnitude and opposite in direction — as against the orthogonality of Paper IV, where the two lie on different axes and do not share one.)

As for cultivation — the chief probe of Paper IV — in this paper it drops to a lens and a support, no longer the spine. Paper IV's cultivation was a clean interface, its seam lying elsewhere (inherent inclusion, identity-with-the-middle); whereas here, Huayan's cultivation terminates in the unobstructed interpenetration of phenomena, and so the cultivation axis itself runs, at its own endpoint, straight into a seam. The spine of this paper is instead the ladder of the five teachings tending toward a single all-interpenetrating net: the ladder climbs past 15DD and, at its summit, turns toward an untranslatable whole.

One point of spirit must be stated at the close of the Introduction, and kept in its place. This paper's conclusion is not that one side is complete and the other deficient, but that two philosophies, each complete, run straight through each other on one and the same set of axes. The world should not hold only one philosophy — this sentence is where the paper's anti-cooptation spirit lives; but on the front stage it is carried only by structural language (the counter-run of the two counter-signs), landing in this Introduction and in the Conclusion, and never swelling into a philosophical manifesto. The temperature of the cold interface is not broken here.

The order of the paper: Section 1 fixes the coordinates and the probe (why no new probe is set up, and Huayan is read as the limit of the without-outside); Section 2 lays out the SAE-side apparatus; Section 3 sets the primary interface (the ladder of the five teachings); Section 4 sets the subordinate interfaces (Sudhana; Samantabhadra) and the boundary-list (principle-phenomena non-obstruction); Section 5 sets the central seam (the interpenetrating whole against holding-the-external in mutual non-doubt, and its geometric root in the two counter-signs); Section 6 registers the pure seams structure by structure; Section 7 gives the retrospective on forward references from earlier papers; Section 8 is the reflexive turn; Section 9 concludes.

1. Coordinates and Probe: Why No New Probe Is Set Up

By now the series has set up four probes, one per paper: the construct (Paper I, Yogācāra), the chisel (Paper II, Chan), the law (Paper III, Madhyamaka), and cultivation (Paper IV, Tiantai). These four are not a homogeneous four-axis coordinate system but four probe-roles: the construct is a product, a face of structure; the chisel is a face of operation; the law is a cross-positional constraint; cultivation is the directional, inter-subjective operation of T1's release direction. What they share is that each pins down one face of an SAE machine (or one cross-positional constraint), the face at which the interfaced tradition reads out at highest resolution.

Huayan does not enter this pattern. Its signatures — the unobstructed interpenetration of phenomena, the dependent arising of the dharma-realm, nature-arising — do not map onto some positive machine within SAE; they are the structural counter-sign of an SAE commitment. And so this paper sets up no separate machine-face probe for Huayan; its interface role is the limit of the without-outside.

The sense of this role must be made plain. Huayan is the "Highest" — the ultimate that Huayan marks for itself (the unobstructed interpenetration of phenomena; the one true dharma-realm); within SAE's coordinates it is not a detachable part usable inside SAE, but a limit confronted by SAE's axioms (every construct occludes; remainder-conservation; Negativa). The four earlier probes asked how an interfaced tradition runs at some SAE face; this paper's limit asks where two structures burst into mutual incompatibility — its measurement lies not at local resolution but at the axiomatic layer. That no new name is set up is itself a feature of the paper: the interface role simply is its limit, and this marks the series firing at its widest seam.

A boundary must be set, to bar a misreading. To read Huayan as "limit" and "without-outside" is a remark of location, not the claim that there is some parallel complete structure inside SAE, nor the claim that Huayan stands outside the coordinates — it marks Huayan's coordinate (the position of the limit), not an empty slot. And although the paper sets up no machine-face probe for Huayan, this must not be taken to insinuate that Huayan is a fifth face alongside "construct, chisel, law, cultivation," manufacturing a false symmetry: Huayan is not a face of operation but the aspect that the whole toward which all operations tend takes at its extreme. This boundary carries forward the discipline set in Paper IV (do not force the papers level by a false symmetry).

2. The Apparatus on the SAE Side

This section lays out the SAE components heavily drawn on below, all cited from published SAE work; here they are only gathered and clarified, so that the sections to come have a usable toolset. There are six items.

One: remainder-conservation, and every construct occludes. SAE's operational layer has an invariant: any construct has an occlusion; the occluded is external and perpetually retained, and in upward development it does not shrink but grows; a closure without remainder cannot occur. This is the SAE-side base material for the paper's chief pairing — Huayan tends toward a whole without any veil, SAE holds a remainder perpetually external.

Two: Negativa. Negation prior to being is SAE's sole axiom, and also its ground-character — grounded in negation. This is the SAE-side anchor of the ground counter-sign in Section 5: Huayan grounds in substance, in dharma-nature (the fullness of presence) and arises-into-function, while SAE grounds in negation and constructs.

Three: the directional chisel-construct. SAE's construction is bottom-up and directional, layer by layer: each chiseling depends on its prior construct, and the remainder it leaves points to the adjacent next layer, and bears outward. This is the SAE-side anchor of the process counter-sign in Section 5: Huayan's dependent arising of the dharma-realm has no external first cause and follows no single-line causation, its without-outside exhaustively interdependent, whereas SAE's chisel-construct is layer-by-layer directional and outward-bearing.

Four: 16DD (mutual non-doubt; the thing-in-itself). Once the other is held in non-doubt as an end, it is a true subject; and a true subject is a true subject precisely in that its facing-side is, to one's own side, unknowable, un-unilaterally-occupiable, inexhaustible — to occupy it is to lower the other to an exhaustible object, which cancels the mutual non-doubt itself, a self-cancellation. So the top of SAE's ladder is a relational limit that can be marked but not unilaterally occupied, oriented toward an unknowable other, and not a highest dwelling one may enter and declare complete. This is the load-bearing SAE-side item for the central seam — Huayan's unobstructed interpenetration of phenomena (boundless mutual interpenetration) parts from it at the topology of the terminal state.

Five: reflexivity (bounded). SAE's reflexivity is bounded reflexivity: bounded by the remainder, its self-model must retain an occlusion, unable to mirror itself in full. This is the SAE side of the Indra's-net partial interface — Huayan's mutual mirroring is boundless (layer upon layer without end), SAE's is bounded, and so the correspondence reaches only to the form of the net.

Six: the criterion of cultivation, and the criterion of the pure seam. Cultivation and sculpting are the dual directions of one and the same neutral operation, T1, discriminated by T6: when T6 is triggered, sculpting (locking; cancelling the other's right to interrupt, lowering it to the position of a means); when T6 is not triggered, cultivation (release; raising the other's level, dissolving one local rigidity, without zeroing out the remainder). Value hangs on the direction, not on the presence or absence of a remainder; in a 16DD relation, to chisel is to cultivate. And the criterion of the pure seam (the three conditions given in Section 6) is laid out as the measuring-rod for the sections' verdicts to come.

Finally, this section completes the first half of the first correction of a forward reference: earlier papers in the series pre-read Huayan's unobstructed interpenetration of phenomena under "the network topology of the remainder"; here it is first flagged — that the "form of the net" may be provisionally retained (pending Section 7's marking of its local correspondence), while the phrase "the net of the remainder" must be held in abeyance (pending Section 7's marking of it as a mis-borrowing). The detail is deferred to the retrospective in Section 7.

3. The Primary Interface: The Five Teachings as a Non-Strict Ladder of Practice

The primary interface falls between Huayan's five teachings and SAE's DD ladder. The point: the depth-and-shallowness of doctrine that the five teachings classify can be mapped, non-strictly, onto subject-development from 13DD to 15DD and above; and the place where they reach the summit (the Perfect teaching) parts, exactly, from SAE's summit (16DD) at the topology of the terminal state. Three parts: first the mapping of the five teachings onto DD, then the fork at the Perfect teaching, then one two-reception cross-reference between Paper IV and this paper.

3.1 The Mapping of the Five Teachings onto DD

The five teachings — the Hīnayāna teaching, the Elementary Mahāyāna teaching, the Final Mahāyāna teaching, the Sudden teaching, the Perfect teaching — are the doctrinal classification fixed by Fazang (their names carried from Dushun and Zhiyan, first given organized form by Fazang; Huayan yisheng jiaoyi fenqi zhang, fasc. 1, CBETA T45 no. 1866, [481b]: "dividing the teachings by dharma, the teachings are of five kinds"; Huayan jing tanxuan ji, fasc. 1, CBETA T35 no. 1733, [0115c04]: "dividing the teachings by meaning, the teachings are of five kinds — this divides by meaning, not by period or event." [The tanxuan ji, fasc. 1, [0115c04] has been verified against CBETA; the Wujiao zhang [481b] remains to be collated.])

A most necessary boundary must first be set on this mapping — and it is a boundary propped up by one of Fazang's own phrases: the five teachings divide the teachings by meaning, "this divides by meaning, not by period or event" — they are judged by the depth of doctrine, and are not in themselves a temporal sequence, nor a ladder of subject-development. So to map the five teachings onto DD (a structural sequence of subject-development) is, of necessity, a non-strict mapping: what is mapped is only each teaching's signature operation, the operating-position of the audience it addresses, and the direction of its relation; it does not assert term-by-term synonymy, does not make the five teachings into a universal chart of psychological development, and still less ranks real persons high or low by it. A mismatch of criterion-domains is not a ranking.

The mapping is as follows:

Five teachings DD reading Interface point
Hīnayāna teaching13DD + 14DD (a signature span: the self-liberating structure spans between self-awareness and self-with-purpose; this is an interface reading, not a claim that the Hīnayāna teaching internally contains DD strata)The self-liberating structure implicates at once self-awareness (13DD) and self-with-purpose (14DD). Also called the śrāvaka teaching of the deluded-in-dharma; it teaches the emptiness of the person, not yet the emptiness of dharmas.
Elementary Mahāyāna14DD (the grasping of self-nature loosens, but the stable turn toward a concrete other is not yet accomplished)Internally divided into the emptiness-elementary (Prajñā, Sanlun: all dharmas are empty) and the characteristics-elementary (Saṃdhinirmocana, Yogācāra: distinguishing the five natures, establishing the dependent myriad dharmas).
Final Mahāyāna14DD and aboveTathāgatagarbha, Buddha-nature; the two vehicles and all sentient beings will alike attain Buddhahood; connects to the fourth sub-layer of the Ten Ox-Herding Pictures, "returning to the source, preparing to turn toward the other." Nature-arising's innate facet locally connects here.
Sudden teachingThe threshold of 15DDApart-from-words and apart-from-marks; "in a single thought unarisen, one is called a Buddha"; no ladder of stages for cutting delusion and realizing principle (as in the Vimalakīrti, etc.). Connects to Paper II's (Chan's) chisel — breaking the abidable — without being identical to Chan.
Perfect teaching15DD and above (15DD+, not 16DD)The perfect interfusion of the ocean of nature, dependent arising without end (the distinct One Vehicle). The terminal state of second-order cultivation, 15DD upon 15DD; its fork from 16DD is treated below.

Three things must be set on this table, to bar a misreading.

One: the Hīnayāna's "13DD + 14DD" is a signature span, not a claim that the Hīnayāna teaching internally contains DD strata. This is only an interface reading: its self-liberating structure spans between self-awareness and self-with-purpose; it is not a claim that Huayan's Hīnayāna teaching itself has a two-layer theory in the SAE sense.

Two: the Elementary teaching's split into emptiness and characteristics is not unfolded within this paper. The Elementary's emptiness-strand (Prajñā, Sanlun) is near where Paper III (Madhyamaka) sits, and its characteristics-strand (Saṃdhinirmocana, Yogācāra) near where Paper I (Yogācāra) sits; this paper does not rewrite those two, and takes the Elementary teaching only as one whole interface reading of "the stable turn toward a concrete other not yet accomplished."

Three: the Sudden teaching connects to Paper II's chisel, without being identical to Chan. The Sudden teaching's apart-from-words, apart-from-marks, no-ladder-of-stages connects to Paper II's chisel at the one place of "breaking the abidable"; Chengguan too judged the Sudden teaching to "accord with the Chan school" [CBETA to collate: Chengguan's exact locus for "accords with the Chan school"] — the single word "accord" already marks a directional affinity, not an identity. Yet Fazang's Sudden teaching in fact points to the apart-from-words teaching of the Vimalakīrti and the like, not to the Chan school; hence connection without identity — this boundary must be held, lest the paper slide, at the Sudden-teaching cell, into a comparison of Huayan with Chan (holding one mirror per paper).

Finally, one thing: this table reads in the five teachings' own order of manifesting-the-real by "dividing by meaning," and sets up no non-monotonic fold in it. The five teachings are a doctrinal-classification order (their summit, the Perfect teaching, exalts itself above the Lotus — this self-judgment the paper does not adopt); mapping them onto DD continues the method of Papers I and II ("a ladder of practice mapped onto DD"); the mapping is non-strict, but its order is read in the sequence of manifesting-the-real by meaning, and the paper introduces no further twist here.

3.2 The Fork at the Perfect Teaching: 15DD and Above, Not 16DD

The Perfect teaching must never be marked as 16DD. The Perfect teaching and 16DD are precisely two places that part at the topology of the terminal state. So wherever this paper speaks of "the Perfect teaching's terminal state," it appends a sentence marking the fork:

> The fork between the Perfect teaching (15DD and above) and 16DD is not "toward the other or not" — both are here high-order relations toward the other; it is at the topology of the terminal state: Huayan tends toward the interpenetrating whole (the unobstructed interpenetration of phenomena, layer upon layer without end), SAE holds the external in mutual non-doubt (the other a true subject that cannot be unilaterally occupied).

This is where the paper differs most from Paper IV (Tiantai). Paper IV's center is "a Highest and no Highest"; this paper's center is "how the completeness of a 15DD-and-above relation terminates." The ultimate the Perfect teaching marks is a whole that can be positively established and entered into (one species of "a Highest"); whereas SAE's summit (16DD) has no globally closed terminal state that could zero out the remainder — it is a relational limit that cannot be unilaterally occupied, oriented toward an unknowable other, and not a highest dwelling one may enter and declare complete.

A gate-guard must be set: to say that Huayan's Perfect teaching is "a Highest" and SAE's summit "no Highest" is a structural description of two complete terminal states — it is not a verdict that the Perfect teaching is closed, nor that SAE's summit is deficient. One holds a positively establishable ultimate whole, the other holds an unoccupiable relational limit; both are complete, mutually untranslatable. A mismatch of criterion-domains is not a ranking.

3.3 A Two-Reception Cross-Reference between Paper IV and This Paper: The Two Vehicles as Deaf and Mute

Here the paper comes face to face with Paper IV (Tiantai) once, and makes a precise mutual reference — stopping at mutual reference, not spilling into a doctrinal-classification comparison of Tiantai and Huayan.

The matter: at the Huayan assembly (the assembly in the Jeta grove, the multi-storied pavilion of Jetavana), the śrāvakas were, before the Buddha's realm, as deaf and mute. [The phrase "as deaf and mute" is the common form; in the primary text its face is, in Fazang's tanxuan ji, fasc. 18, "as deaf and blind": "Question: below, the śrāvakas are said to be all as deaf and blind; why then do they here share in the doubting-thought? … Because the universal eye is not yet opened, they are as the blind. Again it is explained: they are in reality bodhisattvas, appearing in the traces as śrāvakas, and so are as the blind" (CBETA T35 no. 1733, [0442c25]). The paper's prose follows the common "as deaf and mute," while this note marks the primary text's "as deaf and blind."]

On one and the same fact, Paper IV and this paper each read with its own eye, and the functions they read out run opposite:

  • Paper IV read with the eye of Tiantai's doctrinal classification: the Buddha bare-outputs a 15DD realm, broadcasting it to the two vehicles at 14DD; the positional gap is too great, no bridge is in place, so the two vehicles are as deaf and mute — a failure on the positional side (there Paper IV's matrix of five periods judged the Avataṃsaka's broadcast to be pitched too high).
  • This paper reads with Huayan's own eye: the Avataṃsaka broadcasts only to the ocean-assembly of bodhisattvas (15DD); the two vehicles were never its audience; that they are as deaf and mute is precisely proof that the audience-definition is exactly right — Fazang glosses it himself, "because the universal eye is not yet opened, they are as the blind," "in reality bodhisattvas, appearing in the traces as śrāvakas," which displays the level of this realm and the locking of its audience.

The two readings each hold within their own domain of reception: what Paper IV reads is a mismatch, in the eye of Tiantai's doctrinal classification, between the teaching-content's positional level and the audience's position; what this paper reads is, in Huayan's own eye, the signature-audience definition.

A hard latch must be set here, to bar the misreading of a "God's-eye view": the "two sides" here are not two opposed interpretations of one and the same proposition, but two distinct audience-quantification-domains (Tiantai's doctrinal-classification domain, and Huayan's self-descriptive domain) making two independent valuations of one and the same experiential fact (the two vehicles as deaf and mute). SAE does not possess a third quantification-domain transcending these two by which to adjudicate which reading is the more valid — and so "the two readings each hold within their domain of reception" does not mean "each is half right," but that the two are simply not within one and the same problem-space. This is the hard boundary of the two-reception model.

One asymmetry must be added, and its limit self-imposed: Paper IV's and Paper III's mutual reference at the three-truths verse was a two-reception of one text (one verse, read two ways, two-truths and three-truths); whereas here it is one fact through two eyes (the eye of Tiantai's doctrinal classification, and the eye of Huayan's self-understanding) — the latter's asymmetry is greater than the former's, since the Tiantai eye is itself a doctrinal-classification verdict. So it must be written plainly here: SAE does not, from some higher vantage, adjudicate between the two schools; it only marks that one and the same structural fact holds within each of two audience-quantification-domains, without evaluating which eye is true. Paper IV's doctrinal-classification conclusion (Tiantai judging Huayan) and this paper's self-description (Huayan describing itself) are, in this paper, not cited as evidence for each other, and the two are not juxtaposed as a symmetric either/or. Noting that each observational face holds is where it stops; the doctrinal-classification lawsuit between Tiantai and Huayan is not opened.

This mutual reference is the first landing of the paper's theme "counter-signed yet not contradictory": on one and the same fact, two readings each hold within their domain of reception without contending for one and the same verdict; the next section's central seam (the two counter-signs) is the magnification of this gesture.

4. Subordinate Interfaces and the Boundary-List

The primary interface set upon the ladder of the five teachings, a subordinate interface is needed to bear one place: once the ladder climbs past 15DD, how does cultivation among cultivators proceed, and how does it end? Cultivation in this paper has dropped, from Paper IV's chief probe, to this paper's lens and support — the spine remains the net of the ladder tending toward the whole. Two parts: (a) the subordinate interfaces (Sudhana; Samantabhadra), (b) the boundary-list (principle-phenomena non-obstruction).

4.a Subordinate Interfaces

Sudhana's fifty-three visits. Sudhana's story is from the "Entry into the Dharma-realm" chapter of the 80-fascicle Avataṃsaka (CBETA T10 no. 279; the chapter runs to twenty fascicles, its exact fascicle-and-line to be collated against CBETA): Sudhana raises the mind of awakening before Mañjuśrī, travels south through a hundred and ten cities, and visits fifty-three spiritual guides — bodhisattvas, a mother of Buddhas, monks, nuns, laymen, laywomen, boys, girls, goddesses, brahmins, kings, sages, physicians and the like — journeying throughout and being formed thereby.

This journey is a distributed pilgrimage on the cultivated party's side, of a different type from Paper IV's teacher-side doctrinal-classification cultivation: doctrinal classification is a matching that the teacher applies according to capacity; Sudhana is the trajectory of a cultivated party actively moving, receiving, and re-constructing. Its structure is threefold: each single spiritual guide bears only one local modulation (each teaches one liberation-gate, and each says of himself, "as for the bodhisattvas… how could I know or tell it?", then sends Sudhana on to the next); the cultivated party must himself travel south, draw near, receive the teaching and thereupon re-construct himself; and the function of cultivation transfers along the network of his visits, not fixed in the person of one authority.

The correspondence and the boundary of this subordinate interface fall on one and the same axis. Its correspondence is the being-formed by visiting spiritual guides — a pilgrimage under manifold cultivation. Its boundary lies precisely at the journey's end: Sudhana comes to the great Adorned Garden of the country of the Seacoast, and before the Tower of Vairocana's Adornments single-mindedly longs to see Maitreya; Maitreya snaps his fingers, the door opens, and bids Sudhana enter; the tower is vast and measureless, equal to space, tower within tower, layer upon layer without end, and within it Sudhana hears inconceivable, subtle dharma-sounds and attains measureless dhāraṇī-gates (fascicle-and-line to be collated). Then Maitreya bids him visit Mañjuśrī, who from afar stretches out his right hand past a hundred and ten yojanas to lay it on Sudhana's crown; and finally he visits Samantabhadra, who touches his crown, whereupon Sudhana attains samādhi-gates as numerous as the dust-motes of all Buddha-lands, and enters the dharma-realm.

This "tower, layer upon layer without end" is the narrative face of the unobstructed interpenetration of phenomena. So Sudhana's pilgrimage corresponds in the trajectory of its cultivation (formed by manifold teachers, Paper IV's cultivation-probe reappearing here), while its terminus — entering the tower, entering the dharma-realm, layer upon layer without end — falls precisely into this paper's central seam (the unobstructed interpenetration of phenomena, judged a pure seam in Section 6). Even a movement toward the other (visiting for the teaching) ends, at last, in the net of the whole. So Sudhana serves as a subordinate interface, not a primary one; what it bears is corroboration at the one place of "even a movement toward the other returns to the whole," and its cultivated-party-side type avoids Paper IV's teacher-side ground.

Samantabhadra's practices and vows (a weak interface). Samantabhadra's practice is displayed, at the close of the "Entry into the Dharma-realm" chapter of the 80-fascicle Avataṃsaka, in Samantabhadra's crown-touching discourse; and his ten great kings of vows — reverencing all Buddhas, praising the Tathāgatas, on to according with all beings and universal dedication — are from the "Chapter on Samantabhadra's Practices and Vows" of the 40-fascicle Avataṃsaka (CBETA T10 no. 293, fasc. 40; lines to be collated).

"According with all beings" is a solid movement toward the other; at the other-direction of 15DD, in second-order cultivation, it locally corresponds — Huayan does not cast away the other, and its movement toward the other is dense and solid indeed. Yet the terminus of "universal dedication" is dedication to the universal dharma-realm, to Samantabhadra's ocean of vows; and so this movement toward the other, at its terminal state, still folds back into the net of the whole, joining the central seam. So Samantabhadra's practices and vows serve as a weak directional interface, not a structural main beam — its correspondence at the "according with all beings" toward-the-other, its boundary at the "universal dedication" that returns, at last, to the whole.

This weak interface breaks one misreading: Huayan does not, at its summit, cast away the other. Both schools are here high-order cultivation systems toward the other; their parting is not at toward-the-other-or-not, but at where this movement toward the other ends — Huayan ends in the interpenetrating whole, SAE ends in mutual non-doubt while holding the external. This is what Section 5's central seam sets up.

4.b The Boundary-List (Non-Correspondence)

Principle-phenomena non-obstruction — judged a boundary, not a correspondence. This one is listed here on its own, not framed together with Sudhana, lest the reader mistake principle-phenomena non-obstruction for a footnote to Sudhana — for it belongs to the doctrinal-explanatory layer, above Sudhana's narrative-path layer. Its place in this paper is "a pre-exclusion before the third layer of the central seam."

The dharma-realm of the non-obstruction of principle and phenomena is the third of Huayan's four dharma-realms (the dharma-realm of phenomena, the dharma-realm of principle, the dharma-realm of the non-obstruction of principle and phenomena, the dharma-realm of the unobstructed interpenetration of phenomena): principle pervades phenomena, phenomena manifest principle, principle and phenomena identical and yet unobstructing. [The systematization of the four dharma-realms is Chengguan's; the doctrine is cited by work, Huayan fajie xuanjing (CBETA T45 no. 1883); its exact lines to be collated.]

One might wish to connect principle-phenomena non-obstruction to SAE's law (Paper III's Madhyamaka probe, a cross-positional constraint) — for the two are formally alike: both are a cross-layer constraint (principle upon phenomena, as law upon construct and chisel). Yet in content they run exactly opposite, and so this interface stops at formal likeness and thereupon becomes a boundary:

First, Huayan's "principle" is a positive suchness that arises-into-function from substance — principle is a positively established substance, able to arise-into-function and manifest the myriad dharmas; whereas the law set up in Paper III (which is SAE's law) is an apophatic breaking-without-establishing — the law only constrains construct and chisel from being reified as self-nature; it supplies no positive substantial source generating the myriad dharmas. One a positive affirmation, one an apophatic negation, opposite in direction.

Second, the positivity of principle bends this line back into the seam of nature-arising: a principle able to arise-into-function from substance is precisely the Huayan side of the ground counter-sign in Section 5 (substance/dharma-nature present and arising-into-function), counter-signed to SAE's Negativa (grounded in negation). So if principle-phenomena non-obstruction is forced onto the law, its positive principle is at last dragged back to the ground counter-sign of nature-arising, and not a clean correspondence.

So the verdict: principle-phenomena non-obstruction, against the law, is formally alike, in content a boundary — it may serve as a weak subordinate interface, not a primary correspondence; it is filed on the boundary-list. This verdict also blocks one overlap with Madhyamaka: were principle-phenomena non-obstruction forced onto the law, the paper would slide easily into a comparison of Huayan with Madhyamaka, violating one mirror per paper. So in this paper, principle-phenomena non-obstruction serves only as a structural springboard toward the unobstructed interpenetration of phenomena, dropped from view before the third layer of the central seam, and not set up as a correspondence entry.

4.c Summary

Two subordinate interfaces: Sudhana's fifty-three visits (a cultivated-party-side pilgrimage, correspondence and boundary on one axis, entering the tower it falls into the seam); Samantabhadra's practices and vows (a weak directional interface, "according with all beings" toward-the-other, "universal dedication" returning to the whole). Both show that Huayan does not cast away the other, yet its movement toward the other ends in the whole. One boundary-list entry: principle-phenomena non-obstruction (formally alike, in content a boundary, bending back into the ground counter-sign of nature-arising, filed to the boundary to hold one mirror). Cultivation, in this paper, thereby serves only as lens and support, no longer the spine; the spine remains the net of the ladder tending toward the whole.

5. The Central Non-Interfaceable Seam: The Interpenetrating Whole against Holding-the-External in Mutual Non-Doubt

The central seam of this paper is set at one topology of the terminal state: how the completeness of an inter-subjective relation at 15DD and above terminates. First a table of the pairing must be set, as the geometric root of the whole paper; then the central seam in a single sentence; then the seam's shape on each of four layers, with one gate-guarding sentence. This section sets only the skeleton of the seam and its cause, and does not unfold the pure-seam verdicts on the six structures one by one — that belongs to Section 6.

5.1 The Two Counter-Signs of Origin and Terminus

First a literal confusion must be broken. When this paper says Huayan "has no origin," it does not say it has no ground, no substance, no nature-arising, but that it has no external first cause — no beginning that stands outside the dharma-realm and then starts up the myriad dharmas. Huayan has its own ground: the dharma-realm, dharma-nature, the one true dharma-realm; the myriad dharmas arise-into-function from substance. What it lacks is an external initial term on a causal series. When SAE says it "has an origin," it likewise does not say it has a creator-cause, but that it has a formal-axiomatic origin: Negativa, negation prior to being. So the two schools' counter-sign is not at "whether there is a substantial ground" — each has its ground; it is at "whether one chisel-constructs, layer by layer, from an axiom of negation, or accounts for the myriad dharmas from the interpenetrating structure of a dharma-realm without outside." [A boundary must be appended: Huayan does not lack a temporal beginning — Śākyamuni's awakening beneath the tree is the beginning of its narrative; this "no origin" refers strictly to the doctrinal statement of the dependent arising of the dharma-realm, which posits no external first cause there, and does not deny that historical time has a beginning.]

This made plain, the two schools' pairing may be set up as two axes, each load-bearing:

One, the process counter-sign. Huayan has no external-first-cause origin, yet has a positively establishable "Highest" as terminus (the Perfect teaching; the unobstructed interpenetration of phenomena): this is no origin yet a terminus. SAE has a formal-axiomatic starting element (Negativa), yet no globally closed terminal state that could zero out the remainder (its summit, 16DD, a relational limit that cannot be unilaterally occupied): this is an origin yet no terminus. The paired anchor of this axis is the dependent arising of the dharma-realm against the directional chisel-construct: Huayan's arising is the myriad dharmas mutually depending and interpenetrating within one and the same dharma-realm-without-outside, with no external first cause and following no single-line causal direction; SAE's chisel-construct is each chiseling depending on its prior construct, its remainder pointing to the adjacent next layer, directional and outward-bearing.

Two, the ground-character counter-sign. Huayan's ground is substance, is dharma-nature, present and full, from which the myriad dharmas arise-into-function (nature-arising). SAE's ground is Negativa, which grounds by negating. The paired anchor of this axis is the substance of nature-arising against Negativa: one grounds in "the fullness of presence" and arises-into-function, one grounds in "negation" and constructs.

On this second axis a gate-guard of the heaviest kind must be set, for it lies closest to the two schools' roots and is sharpest, the pressure of the wrong-rod greatest here: it must not be written "Huayan has a ground, SAE has none" — so written, SAE's negation is read as a lack of ground, a deficiency. Strict symmetry is required: each school has a kind of ground-character, one grounded in negation, one in substance; both are complete grounds; this is a counter-sign, not a missing member.

Both counter-signs are point-for-point opposed: on the process axis, one no-starting-element yet with terminus, one with starting-element yet no terminus; on the ground axis, one grounded in substance, one in negation. These two counter-signs are the geometric root of every seam in the paper — Huayan and SAE differ in concept at every turn (the unobstructed interpenetration of phenomena against every-construct-occludes, nature-arising against the chisel-construct, one-is-all against the externality of the remainder), and this is not because each was posited by chance, but because all are projections, on different layers, of these two counter-signs. The first four papers, speaking of two schools' untranslatability, mostly had to append a boundary in a closing clause to state its being-no-ranking; this paper can answer "why untranslatable" more firmly than the first four: its answer is a structural counter-sign. That the criterion-domains do not match, that this is no ranking — this is here not a boundary tacked on, but the conclusion forced by the pairing itself: two lines opposed in magnitude and reversed in direction at origin and ground do not intersect, and need no arbiter above them to judge which is superior.

5.2 The Central Seam in a Single Sentence

Thereby the central seam may be told in a single sentence:

> For one and the same relation at 15DD and above, its completeness Huayan realizes as all nodes unobstructedly interpenetrating and all fully present at once — layer upon layer without end, one is all; SAE realizes as all nodes in mutual non-doubt, each still incapable of being unilaterally exhausted by the others. Both are complete terminal states, and they are mutually untranslatable.

This one sentence suffices; no more ornamented substitute need be sought. Each side is a kind of completeness: Huayan's completeness is the other fully present, layer upon layer without end, within every other; SAE's completeness is the other held in non-doubt as a true subject, where a true subject is a true subject precisely in that it is not unilaterally occupied. One is the interpenetrating whole, one is holding-the-external in mutual non-doubt.

5.3 The Shape on Four Layers, and One Gate-Guard

Before unfolding this seam, one gate-guarding sentence must be set, running through every pairing below in this section:

> All the "without-outside / external," "bounded / boundless" pairings in this section are structural descriptors, not ontological quantifiers, and not value-judgments. Huayan's "without-outside" does not equal "eliminating the other"; SAE's "holding-the-external" does not equal "deficiency of relation."

This seam shows its shape on four layers; the four are four faces of one and the same seam, not four independent lines of evidence:

One, the layer of doctrinal-classification and purpose. Huayan takes the Perfect teaching (the distinct One Vehicle, self-placed at the utmost — this self-judgment the paper does not adopt) as the summit of the five teachings; the summit of SAE's ladder is no-Highest — the relational limit at 15DD and above cannot be unilaterally occupied, there is no globally closed terminal state one may enter and declare complete. One a positively establishable ultimate summit, one no closed summit that could zero out the remainder.

Two, the relational layer. This layer is peculiar to this paper; Paper IV (Tiantai) has no such pure-relational layer. Huayan on this layer is the total mutual interpenetration of the unobstructed interpenetration of phenomena, identity-and-interpenetration, the six characteristics, the ten profound gates, and Indra's net; SAE on this layer is the bounded mutual acknowledgment of 16DD — acknowledging the other as an end, and holding it as an external true subject that cannot be unilaterally occupied. One boundless and total-interpenetrating, one bounded and holding-the-external. This is the core structure of Huayan's relational layer.

Three, the ontological-generative layer. This layer is where the two counter-signs above bear their load. On the process axis, it is the opposition of the dependent arising of the dharma-realm (the without-outside exhaustively interdependent) against the directional chisel-construct (directional and outward-bearing); on the ground axis, it is the opposition of the substance of nature-arising (arising-into-function from substance) against Negativa (grounded in negation). Nature-arising's generative facet is precisely the chief anchor of this ground counter-sign, opposed to SAE's bottom-up, sourceless chisel-construct.

Four, the layer of practice-and-realization, the path. Huayan on this layer is Sudhana entering the dharma-realm, Maitreya's tower layer upon layer without end; SAE on this layer is its path's remainder bounded — no terminus "layer upon layer without end."

Of the four layers, the relational layer (the topology of the terminal state) bears the central seam's main sentence; the ontological-generative layer (the two counter-signs) bears its geometric root. There was one open question — whether this seam's sharpest edge lies on the generative side (nature-arising, the dependent arising of the dharma-realm against SAE's sourcelessness) or on the terminal side (interpenetration against holding-the-external) — which in this paper is dissolved by "the two counter-signs," no longer an either/or: the origin side (the two axes of process and ground) and the terminus side each govern their half, both entering the ontological-generative and the relational layers, running in parallel and not contending.

5.4 Gate-Guard: The Seam Stands in Structure, Not in Discipline or Value

Finally it must be declared that the seam is a seam because it is a structural fact, not an administrative seal, nor a sentence of value-praise-or-blame.

The Perfect, nature-arising, the unobstructed interpenetration of phenomena are first of all ontological-doctrinal statements — they state a condition of the dharma-realm's real aspect, not an action of A upon B. Were someone to wish to reify "the Perfect" as an inter-subjective action (as in "the Perfect is colonization"), one must first operationalize "the Perfect" into a locking, and then carry this locking into SAE's remainder-ontology — and this two-step carrying is precisely the wrong-rod: using a set of propositions describing a state as if it were a set describing an action. So this section does not judge Huayan's structures to be colonization or deficiency.

Yet this gate-guard must stand at both ends, neither to be neglected: not judging Huayan's doctrine to be colonization, nor thereby granting Huayan's teaching-act a colonization-exemption. The content of the doctrine (the statements of the unobstructed interpenetration of phenomena, of one-is-all) does not enter the colonization criterion-domain; but how this doctrine is enacted by one concrete node — whether aiding the other's self-chiseling, or closing the other off in the name of "the whole is already present" — is still checked by the criterion of cultivation and sculpting (T1, T6). The statement of a state and the enactment of an action belong to two domains and cannot stand in for each other.

Thereby the central seam of the paper is set: the two schools part at the completeness of a 15DD-and-above relation, one tending to the interpenetrating whole, one holding the external in mutual non-doubt; the geometric root of their parting is the point-for-point counter-sign on the two axes of origin and ground. This seam is not "one complete, one deficient," but two frameworks each complete, running straight through each other on one and the same set of axes. The next section will, by the criterion of the pure seam, examine Huayan's structures one by one, fixing which is a pure seam, which a partial interface, which a usable point of entry.

6. Registering the Pure Seams, Structure by Structure

The previous section set the central seam and its geometric root in the two counter-signs. This section, by the criterion of the pure seam, examines Huayan's structures one by one, fixing which is a pure seam, which a partial interface, which a usable point of entry. First the criterion is stated, then the register item by item, then one guarding-rule on nature-arising and inherent inclusion.

A word-gate must first be re-established: this section's judgments that Huayan's structures have no correspondence, or only local correspondence, on the SAE side are all facts of structural function, not verdicts of deficiency. The forbidden words — dissolve, cancel, veil, lack, close, excess, efface — are forbidden as meaning-damaging verdicts on Huayan; whereas the SAE-side locked definitions (e.g. sculpting cancels the right to interrupt), the pure-seam criterion's descriptions of an axiom-violation (e.g. cancelling the externality of the remainder), the descriptions of SAE's own structure (e.g. no closed terminus; self-cancellation), and the framework-internal reproaches marked in Section 8, are all outside the ban. Wherever Huayan's "without-outside," "boundless" is spoken, it is a structural description, followed at once by SAE's "with-outside," "bounded" in pairing, the two logically non-co-tenable and each complete.

The criterion of the pure seam (reused from Paper IV, restated here): a structure of another school constitutes an SAE pure seam when three things jointly hold — first, that among the currently published SAE components and their legitimate combinations there is no candidate that preserves its core functional signature (input, transformation, output need not be wholly identical; that the core functional signature cannot be preserved suffices); second, that any forced reconstruction must first input a premise incompatible with an SAE axiom (e.g. cancelling the externality of the remainder, or rewriting the chisel-construct cycle); third, that its strongest neighbor must be explicitly eliminated — not only the naïve candidates (the four-fold pattern, DD-binding, ρ) but the candidate that looks most like it. "Not yet found a correspondence" and "a structural pure seam" must be cut apart: a pure seam stands by the criterion, not by "not yet found."

The register follows. The textual basis of Huayan's structures — doctrine cited by work (Fazang's Huayan jing tanxuan ji, CBETA T35 no. 1733; the Huayan yisheng jiaoyi fenqi zhang, i.e. Huayan wujiao zhang, CBETA T45 no. 1866; Chengguan's Huayan fajie xuanjing, CBETA T45 no. 1883) — has its specific lines marked with their source where collated, and marked [CBETA to collate] where not, not letting the smoothness of the doctrine stand in for the checking of the text.

6.1 The Unobstructed Interpenetration of Phenomena — Pure Seam

Core functional signature: dharma interpenetrating dharma, nothing obstructed, one-is-all. This is the "Highest" that Huayan marks for itself — the utmost of the four dharma-realms (the dharma-realm of phenomena, of principle, of the non-obstruction of principle and phenomena, of the unobstructed interpenetration of phenomena). [The "dharma-realm of the unobstructed interpenetration of phenomena," as the fourth of the four dharma-realms, has its fixing and systematization from Chengguan's commentaries; the Avataṃsaka text mostly does not name it by these four graphs but expresses the sense of mutual interpenetration in long phrases, so this realm cannot be evidenced from the sūtra by a bare four-graph search. CBETA to collate: the exact locus of the four dharma-realm terms in Chengguan's Fajie xuanjing.] Fazang's tanxuan ji already marks its two senses under "the gate of the interfusion of phenomena and their mutual inclusion" — mutual-immanence and mutual-identity: one within all and all within one, one is all and all is one (CBETA T35 no. 1733, tanxuan ji fasc. 1, [0119a26]).

Eliminate the strongest neighbor — SAE's 16DD relational structure. 16DD holds the other as an external true subject that cannot be unilaterally occupied, a bounded mutual acknowledgment; the unobstructed interpenetration of phenomena has dharma interpenetrating dharma without outside. One holds-the-external, one without-outside, exactly opposite in direction, so 16DD cannot preserve the functional signature of the unobstructed interpenetration of phenomena. To reconstruct it within SAE, one must first cancel the externality of the remainder — which violates the SAE axiom. Verdict: pure seam.

6.2 The Ten Profound Gates — Pure Seam (the Systematic Unfolding of the Unobstructed Interpenetration of Phenomena)

Core functional signature: the ten faces of identity-and-interpenetration, systematically unfolding how the unobstructed interpenetration of phenomena holds (simultaneous complete correspondence, the non-identity of one-and-many-containing-each-other, all dharmas identical and free, the realm of Indra's net…). A boundary must be set, to bar the pure seam's inflation: the ten profound gates are not a second pure seam independent of the unobstructed interpenetration of phenomena, but its systematic unfolding and multi-faceted disclosure. They constitute a pure seam as a whole system; their several gates may have local resemblances (as "the gate of principle-phenomena non-obstruction" resembles at a cross-layer constraint), while the functional signature of the whole set cannot be preserved by SAE.

[CBETA to collate: Fazang's ten profound gates have an old and a new system — the old ten come from the Huayan yisheng shixuan men (expounded by Zhiyan, recorded by Fazang, CBETA T45 no. 1868) and the Wujiao zhang, the new ten from the tanxuan ji; the two systems differ in their gate-list (e.g. the old ten's "gate of skillful revolving by mind-only" is altered in the new ten) and in order. This paper takes the ten profound gates as a single pure seam, and so locks to the new-ten system (the tanxuan ji) as its basis; where the old ten are cited, their difference is marked, lest a signature-split appear within "the ten profound gates"; this alteration of gate-list and order is to be checked against the text before finalization. The tanxuan ji's ten gates of the teaching-substance — the gate of verbal exposition of the substance, of comprehensively subsuming what is expounded, of pervading all dharmas, of dependent-arising mind-only, of gathering conditions into the real, of principle-phenomena non-obstruction, of the interfusion of phenomena and their mutual inclusion, of Indra's net layer upon layer, of the ocean-seal blazing forth, of host-and-guest completely endowed — are at fasc. 1, [0117c10], which touches the theme of the ten profound gates but is not the proper list of the ten profound gates, and must not be conflated with it.]

Eliminate the strongest neighbor — SAE's four-fold pattern and bounded-reflexive network. The four-fold pattern and the reflexive network can yield only recursion and multi-layer binding, not the unveiled mutual entry. Verdict: pure seam (the whole set).

6.3 The Dependent Arising of the Dharma-Realm — Pure Seam

The core functional signature must be discerned before it is set, or the criterion runs too wide: that the dependent arising of the dharma-realm is a pure seam lies not only in its having no external first cause — "no first cause" can be said in many places in Buddhism, and to rest on this alone does not display Huayan's peculiarity; its peculiarity is in the dharma-realm-ization, totalization, without-outside-ization of dependent arising: the myriad dharmas are not derived in sequence from a linear causal chain, but mutually depend and interpenetrate within one and the same dharma-realm-without-outside, layer upon layer without end, no dharma falling outside this dharma-realm. [Fazang makes the dependent arising of the dharma-realm identical with the Tathāgata's nature-arising, manifest by "the arising of function from substance"; the doctrine is cited by work, the tanxuan ji's chapter on nature-arising (fasc. 16) and the nature-arising passages. The principle of "the arising of function from substance" the tanxuan ji uses repeatedly elsewhere, as fasc. 18's gloss on the name of the multi-storied pavilion, "function arises in dependence on substance, hence called the multi-storied pavilion," [0441c10], and fasc. 2's "clarifying the arising of function from substance," [0138c01]. The exact sense of nature-arising is at the tanxuan ji, fasc. 16, [0405b] (the four senses of nature-arising, Fazang's own words: "taking the nature as the arising, hence called nature-arising and not dependent-arising"; "what arises rests only on the pure function, and, conforming to and realizing the true nature, belongs to nature-arising"; "since the principle-nature is the practice-nature, the arising is only the arising of the principle-nature"); this paper's phrase "the arising of function from substance" precisely subsumes this sense of "the nature / the principle-substance taken as the arising, the arising resting only on pure function and conforming to the true nature" (verified against CBETA).]

Eliminate the strongest neighbors — here several must be eliminated, for the dependent arising of the dharma-realm is nearest to SAE's dependent arising. First, SAE's chisel-construct cycle (directional and layer-by-layer, the remainder pointing to the next layer and bearing outward); second, DD-emergence (emerging layer by layer from the already-made construct); third, the distributed relational network; fourth, the inexhaustibility guaranteed by ρ. SAE can yield dependence, emergence, and network, but not a total mutual-interpenetrating arising within a dharma-realm without outside: any of its constructs, any of its networks, is bounded by the externality of the remainder. So the core functional signature of the dependent arising of the dharma-realm cannot be preserved by the chisel-construct, by DD-emergence, by the reflexive network, by ρ. Verdict: pure seam.

This is, of the six structures, the hardest positive confrontation with the SAE axioms: on the process axis, the dependent arising of the dharma-realm (the without-outside exhaustively interdependent) is point-for-point counter-signed to SAE's directional chisel-construct (directional and outward-bearing); joined to the ground counter-sign (the substance of nature-arising against Negativa), it is precisely where the previous section's two counter-signs bear their load.

6.4 Indra's Net — A Partial Interface (partial)

Core functional signature: the net-jewels mutually mirroring, layer upon layer without end, each mirroring containing all mirrorings (CBETA T35 no. 1733, tanxuan ji fasc. 1, "the gate of Indra's net layer upon layer," [0119b] [the eighth gate, "Indra's net layer upon layer"; its gate-order and sense are verified, this gate beginning after the unfolding of "the gate of the interfusion of phenomena and their mutual inclusion" and belonging to a different line from it at [0119a26]; its exact sub-line to be pinned by direct reading at final collation]).

This structure has one face that can connect locally with SAE, so it is judged not a pure seam but a partial interface — what can connect is the form of the net: many nodes mutually mirroring, no one center exhausting the whole net, each node re-determining itself reflexively in dependence on the others; this echoes locally SAE's 15DD distributed acknowledgment-network together with its 16DD relational limit of mutual non-doubt. Yet its boundary is marked precisely here, and only to here: SAE's reflexivity is bounded reflexivity (bounded by the remainder, its self-model must retain an occlusion, unable to mirror itself in full); Indra's net's mutual mirroring is boundless mirroring (layer upon layer without end, unveiled and fully mirroring). One bounded, one boundless, so the correspondence reaches only to the form of the net, and its boundless face passes at once into a pure seam.

Here the most tightly-guarded sentence must be set: Indra's net and SAE's acknowledgment-network are both called "net," yet one must not force a correspondence because both are called net — the texture of the net runs exactly opposite (one riveted from remainder-bearing nodes, one mutually illumined by unveiled jewel-light). The correspondence reaches strictly only to "the form of many nodes mutually mirroring," and not to "the reality of unveiled, full mirroring."

6.5 Nature-Arising — A Partial Interface (partial), One Structure with Two Faces

Core functional signature: the myriad dharmas arise-into-function in dependence on the intrinsically-pure mind of tathāgatagarbha self-nature, in dependence on the substance of dharma-nature, manifest from substance (the arising of function from substance). This is one understanding of Buddha-nature toward the world. Nature-arising is one structure with two faces, judged along two paths:

One, the innate face (tathāgatagarbha, Buddha-nature as the subject's innate substrate): this face has a local interface, connecting to the Final teaching and to tathāgatagarbha, Buddha-nature at 14DD and above — that is, the position of the fourth sub-layer of the Ten Ox-Herding Pictures, "returning to the source, preparing to turn toward the other" (this pairing carried from Paper II's establishment via the Ten Ox-Herding Pictures, and reused by Paper IV). Its boundary: Huayan has substance and arises-into-function, SAE has no substance and only a process of construction. A boundary must be set, to bar a misplacement: tathāgatagarbha and Buddha-nature may connect, on the ladder of the five teachings, to the bridge-launch position at the Final teaching and 14DD-and-above, while nature-arising itself is the generative mechanism on the side of Huayan's Perfect teaching; the two have an interface continuity but are not identical — nature-arising must not be downgraded to the Final teaching.

Two, the generative face (the cosmic arising of the arising of function from substance): this face is not here downgraded to a local interface but ascends to belong to the chief anchor of the ground counter-sign in Section 5 — the substance of nature-arising point-for-point counter-signed to SAE's Negativa: one grounds in "the fullness of presence" and arises-into-function, one grounds in "negation" and constructs. So nature-arising is not simply a partial: its innate face is a partial interface, its generative face is the load-bearing anchor of the ground counter-sign.

6.6 The Perfect Interfusion of the Six Characteristics — A Usable Point of Entry

Core functional signature: the six characteristics — universality, particularity, identity, difference, integration, disintegration — let the whole and the differences hold at once. [The scriptural warrant of the six characteristics is from the Daśabhūmika (the "Ten Grounds" chapter of the Avataṃsaka), spoken by the bodhisattva Vajragarbha; Fazang's Wujiao zhang develops it by the simile of the rafters and the house. In citing the six characteristics one must keep apart the scriptural statement ("Ten Grounds" chapter) and Fazang's simile-gloss (Wujiao zhang), not taking Fazang's house-simile for the sūtra text. CBETA to collate: the scriptural locus of the six characteristics in the "Ten Grounds" chapter, and the exact line of the rafters-and-house simile in the Wujiao zhang (T45 no. 1866).]

This is the best point of entry in the paper: SAE's construct does indeed have the tensions of the whole/part, identity/difference, integration/disintegration faces; from these faces one may enter the six characteristics' analytic skeleton for discrimination. Yet its correspondence carries one unfolding-restriction, to be strictly held: the point of entry takes only the six characteristics' analytic skeleton (universality/particularity, identity/difference, integration/disintegration), and not the six characteristics' conclusion of perfect interfusion. Its boundary lies precisely at "perfect interfusion": SAE's construct — its universality is never quite equal to its particularity, there is always a remainder between universality and particularity; the perfect interfusion of the six characteristics has universality and particularity both interfused with no gap. So the correspondence reaches only to the six characteristics' analytic face, while its perfect-interfusion face, following the unobstructed interpenetration of phenomena, passes into a pure seam.

Here too the guard is tightest: one must not force a correspondence of the perfect interfusion of the six characteristics merely because SAE's constructs all have whole and part — what can correspond is only the analytic skeleton; perfect interfusion is not a thing that can correspond.

6.x Appendix: A Guarding-Rule on Nature-Arising and Inherent Inclusion (Not Unfolding a Comparison of the Two Schools)

Inherent inclusion (Tiantai, subsumption; inherent inclusion) and nature-arising (Huayan, arising-into-function; the arising of function from substance) both belong to the "a Highest" seam-family, yet differ in mechanism and are mutually irreducible. Three sentences are set, to hold no-taking-of-sides:

One, the boundary sentence: inherent inclusion and nature-arising are two structures by which the two schools each reach "a Highest" (the Highest of subsumption and the Highest of arising-into-function); the two are mutually irreducible and do not rank each other — a mismatch of criterion-domains is not a ranking.

Two, the key sentence: top-down and bottom-up here compare only each school's interface path with SAE, and do not constitute a common doctrinal-classification rod between Tiantai and Huayan; to say nature-arising is the arising of function from substance only marks the generative direction in this interface, and does not mean Huayan is more top-down than Tiantai.

Three, the cold-interface sentence: SAE here adopts neither Tiantai's verdict on Huayan (that the Avataṃsaka's broadcast is pitched too high) nor Huayan's self-classification as the Perfect teaching of the One Vehicle — the two verdicts run opposite, neither adopted; the paper only interfaces, coldly, the structure of Huayan's own nature-arising. And one physical separation: the full analysis of inherent inclusion is already given in Section 6 of Paper IV of this series; this paper does not restate its mechanism, and marks here only this one mutual reference.

6.7 Summary

The register of the six structures follows: the unobstructed interpenetration of phenomena, the ten profound gates, the dependent arising of the dharma-realm — the core functional signatures of these three cannot be preserved by SAE, and they are pure seams; Indra's net, nature-arising (innate face) — these have one interfaceable face while the rest becomes a seam, and they are partial interfaces; the analytic skeleton of the perfect interfusion of the six characteristics has a true correspondence, and it is a usable point of entry (while its perfect-interfusion face passes into a pure seam). Nature-arising's generative face ascends to belong to the chief anchor of the ground counter-sign in Section 5.

One thing must be added at the close: this paper's verdicts use only the three grades "pure seam / partial interface / usable point of entry," and do not deploy the grade "no direct correspondence at the categorial layer." That grade (as with Buddhahood or liberation for SAE, whose signature cannot be expressed at all within SAE's system of categories) is what Paper IV of this series met; this paper's structures all have signatures recognizable within SAE before being judged unpreservable (pure seam) or locally connectable (partial, entry), and so do not enter the categorial-layer grade; the classification of the verdicts is here clean.

7. The Retrospective on Forward References: Splitting, Not Judging the Whole to Have Failed

Paper I (Yogācāra), in its §1.4 and Conclusion, and Paper II (Chan), in its §7.1, both pre-read Huayan, saying that at "the network topology of the remainder" and at "the unobstructed interpenetration of phenomena" it interfaces with SAE. This section must give the retrospective on that pre-reading, and the method of the retrospective is splitting, not judging the whole to have failed — not silently overturning the earlier papers, but explicitly marking where they conflated. This section is dedicated to this one act of correction; its structure-by-structure verdicts (the pure seam and partial interface of the unobstructed interpenetration of phenomena and Indra's net) are already given in Section 6, and are not restated here.

The earlier papers' phrase "the network topology of the remainder" in fact conflated two things, which must be split apart and each returned to its place.

One, the form of the net. This refers to the topology of layer-upon-layer mutual mirroring — many nodes mutually mirroring, no one center exhausting the whole net, each node re-determining itself reflexively in dependence on the others. This form echoes locally a cluster of SAE neighbors: the neighbor is not the single reflexivity, nor the complete 16DD, but a combinationthe 15DD distributed acknowledgment-network together with the 16DD relational limit of mutual non-doubt. Its correspondence reaches only to three places: many nodes becoming each other's structural conditions; no single center exhausting their relation; each node re-determining itself reflexively in dependence on the others. And its correspondence does not reach: every node with the whole fully present and unobstructed within it; the boundless layer-upon-layer mutual mirroring; the remainder being subsumed as an internal relation of the whole. So at the layer of this form the boundary must already be marked: SAE's mutual mirroring is bounded (bounded by the remainder, the 16DD other unable to be unilaterally occupied), Huayan's mutual mirroring is boundless (layer upon layer without end); the two each complete, mutually untranslatable.

Two, the reality of non-obstruction. This refers to dharma being unobstructed by dharma — and this reality is a pure seam. For where nothing is obstructed, no remainder can be spoken of; "the reality of non-obstruction" and "the net of the remainder" cannot logically stand together: if nothing is obstructed, then there is nothing to net (no remainder to be netted). So the reality of non-obstruction can no longer be accounted for by the remainder, and must be marked singly as a pure seam (already given in Section 6).

Thereby the earlier papers' word "remainder" is known to be a mis-borrowing — Huayan's net has no remainder to net. The correction may be stated: retain "network," withdraw "the net of the remainder"; SAE is a bounded mutual-referring network, Huayan is an unobstructed mutual-interpenetrating network. What the earlier papers pre-read — the form of the net has its value, while the word "remainder" must be corrected: at the non-obstruction of the unobstructed interpenetration of phenomena, the remainder can no longer account for it.

Finally one sentence, to bar the suspicion of "silently overturning the earlier papers": the phrase "the network topology of the remainder" in Papers I and II was, in their then writing-context, one pre-reading of Huayan; this paper's retrospective splits that pre-reading into "a retainable topological observation" (the form of the net) and "a remainder-loanword to be withdrawn" (the reality of non-obstruction), neither letting the former override the latter, nor letting the latter negate the former — the former retained as a local correspondence, the latter re-judged a pure seam. This is a conceptual refinement, not a failure of the earlier papers.

8. The Reflexive Turn: Does Total Interpenetration Still Have an Other; Does Externality Still Have a Whole

The previous sections all read Huayan's structures with the SAE-side apparatus. This section does the reverse: it lets Huayan's origin reflect back on SAE's questionable places, and lets SAE's origin reflect back on Huayan's questionable places. The reproaches from the two sides each hold within their own framework, and do not adjudicate each other — neither one dissolving the other, nor one absorbing the other.

A word-gate must first be re-established: this section's paired reproaches, like the whole paper, do not use the forbidden words as meaning-damaging verdicts on Huayan. And this section strips away all external names and figurative names, keeping only the structure — every trace of review, every figurative token, stays out of the main text.

8.1 The Counter-Sign of the Origin

Paper IV's reflexive turn set up the orthogonality of the two schools' origins; this paper goes further and sets up the counter-sign of the two origins. The difference between the two must be discerned: the orthogonal, as with Paper IV's Tiantai and SAE, is offset vertically at the one place of "a Highest, no Highest," not sharing an axis; the counter-signed, as with this paper's Huayan and SAE, is opposed in magnitude and reversed in direction on the ground axis, sharing a single axis and facing each other across it.

Huayan's origin is substance, is dharma-nature — a fruit-ocean with no external-origin, from which the myriad dharmas arise and into which they enter and interpenetrate, having its "Highest" as terminus. SAE's origin is Negativa — grounded in negation, every construct occluding, having no closed terminus. The two origins are point-for-point counter-signed: one grounds in "the fullness of presence," one in "negation." Neither is the transitional state of the other, and neither can be explained by the other as a special case.

8.2 The Pair of Reproaches

The two sides' reproaches are set up as a pair, of one and the same sentence-form, each holding within its own framework, and not adjudicating each other:

Huayan asks SAE. If the complete relation of a true subject must have as its condition an externality that cannot be internally subsumed, then has SAE not pre-excluded another form of complete relation — where difference is preserved, yet all are fully present without obstruction? In other words: why is externality, in SAE, a condition of the complete relation, and not merely a local setting of one class of relational topology? [This reproach holds within Huayan's framework — Huayan does not take unobstructed interpenetration for a homogenizing, and its six characteristics, one-and-many-containing-each-other, and identity-and-interpenetration are precisely meant to show: difference may be kept while obstruction is removed. This reproach against SAE is likewise not dissolved; the two do not adjudicate each other.]

SAE asks Huayan. If every dharma is, in unobstructed interpenetration, fully present with the whole, then in one concrete act of teaching, of explanation, of institution, what prevents some node from exhausting another node's meaning in the name of "the whole is already present"? In other words: how does Huayan distinguish "the other enters the whole by its own difference" from "one interpreter speaks on behalf of the whole"? [This reproach is a deduction, within SAE's framework, on the concept of "without-outside," not a description of Huayan's real aspect. This reproach too does not dissolve Huayan — Huayan has, internally, its own line of defense: identity-and-interpenetration does not equal one swallowing another; one-and-many, universality-and-particularity, identity-and-difference hold at once; any phenomenon enters the whole by its own difference, and no one center speaks on behalf of the whole. So this reproach does not constitute an external verdict on Huayan. The two do not adjudicate each other.]

The symmetry of the two reproaches must be seen: Huayan presses SAE to explain why externality is not the incompleteness of the relation; SAE presses Huayan to explain why total interpenetration is not one node's omniscient possession. Both must land on one practical risk before their reproach bites — Huayan should answer: might a teacher, in the "name of the whole," exhaust for the other all of the other's meaning? SAE should answer: might a modulator transcribe "still holding the external" into "you have not yet reached the whole"? Both questions land on the enactment of an action, not the statement of a state; both are lines of defense each framework must keep for itself, not one side's verdict on the other.

8.3 SAE's Own Acknowledged Axiomatic Burden (Set Apart, Not Within the Pair of Reproaches)

One place must be set apart, not mixed into the pair above — for it is not Huayan reproaching SAE, nor SAE reproaching Huayan, but SAE's self-reproach, a burden of its axiom, which it does well to acknowledge honestly.

The question is this: SAE says "every construct occludes"; but "the occlusion" is what the construct veils, a property, not a thing — so one cannot directly ask whether "the occlusion" itself becomes a construct; to ask thus mis-places the category. The one thing that can be asked is: does a statement, an action, that marks this occlusion, itself fall under the chisel-construct? If this marking itself becomes a construct, then this marking-construct too has its occlusion, and its occlusion is one more portion of ρ (the remainder); and so, marking upon marking, occlusion beyond occlusion — can this regress recede without end and never touch bottom?

SAE may answer here: every statement or action that marks an occlusion is indeed a construct, and so indeed has its occlusion, which is one more portion of ρ. Yet the reason this regress does not touch bottom lies not in searching repeatedly for its bottom and not finding it, but in that remainder-conservation (ρ ≠ ∅) is itself an invariant of the operational layer — so long as ρ is non-empty, any construct has an occlusion, and so any marking-construct too has an occlusion, and so a closed bottom, structurally, does not exist. The reasoning is a one-directional loop: ρ ≠ ∅ is the root, "every construct occludes" is its manifestation, "no construct can be closed" is its corollary; the three descend in order and their direction cannot be reversed. So this regress is not an emptiness awaiting filling, but ρ ≠ ∅ appearing once more at each layer of the recursion.

This joint must be discerned, to make solid the difference between a burden and a deficiency: an axiomatic burden is the price an axiom must pay for its thoroughness, entailed by the character of its origin; a deficiency is an incompleteness that could be made whole. The regress's not-touching-bottom belongs to the former, not the latter — it awaits no completion and admits of none, for ρ ≠ ∅ is not a momentary unfinishedness but what SAE's thoroughness of the axiom of negation necessarily carries. SAE acknowledges this burden as it acknowledges the externality of the remainder: not as a deficiency, but as the character at its root.

So this self-reproach, set outside the pair of reproaches, stands on its own — it is not opposed to Huayan, but only SAE's honest examination of the character at its own root.

8.4 The Positive Confrontation Here

This section's reproaches come to rest at one most direct confrontation: does true otherness require an externality that cannot be unilaterally occupied (SAE), or is it already perfectly accomplished within total interpenetration (Huayan)?

This is precisely where SAE's 16DD and Huayan's unobstructed interpenetration of phenomena face each other most directly — two complete accounts of "the other and the whole," mutually untranslatable. One achieves the completeness of its relation by "holding the external" (the other a true subject, precisely in not being unilaterally occupied), one achieves the completeness of its relation by "unobstructed interpenetration" (the other fully present, layer upon layer without end, within every other). Each holds within its own framework, neither adjudicating the other; neither side is dissolved or absorbed by the other.

Thereby the reflexive turn of the paper is set: not one side reflecting out the other's lack, but two complete origins, counter-signed toward each other on one and the same axis, each reflecting out the other's axiomatic choice — and not a deficiency. A mismatch of criterion-domains is not a ranking.

9. Conclusion

Reading Huayan's structures with the SAE-side apparatus, this paper may here gather three things.

One, restating the two lifelines. The preceding eight sections marked, at the ladder of the five teachings and at Sudhana's pilgrimage, their interface with SAE; while at the pure seams of the unobstructed interpenetration of phenomena, the ten profound gates, the dependent arising of the dharma-realm, the two schools part, the seam set and unmended. This marking of a seam is not a verdict that Huayan is an unfinished SAE — Huayan's structures are all its own complete ultimate; nor a reading of SAE as an un-perfected Huayan — the externality of SAE's remainder, the un-unilaterally-occupiable summit, are all entailed by its own axiom. The two lifelines are unbroken from first to last.

Two, fixing this paper's place in the series. This is the series' paper firing at its widest seam — Huayan is the "Highest," a structural counter-sign of SAE. Cultivation, from Paper IV's chief probe, drops in this paper to a lens and a support; this paper's spine is the ladder of the five teachings tending toward a single all-interpenetrating net, and at its summit turning toward an untranslatable whole. Paper IV's center is "a Highest, no Highest"; this paper's center is "how the completeness of a 15DD-and-above relation terminates" — one tending to the interpenetrating whole, one holding the external in mutual non-doubt.

Three, returning to the pairing. Huayan has no external-first-cause origin yet has its "Highest" as terminus, grounded in substance; SAE has a formal-axiomatic origin yet no closed terminus, grounded in negation: point-for-point running through each other on two axes. Not one complete and one deficient, but two frameworks each complete, counter-signed on one and the same set of axes — the paper can answer "why untranslatable" more firmly than the first four precisely because its answer is two structural counter-signs. Finally, one place of anti-cooptation spirit carried by structural language: the world should not hold only one philosophy — two frameworks each complete and mutually counter-signed, running straight through each other on one and the same set of axes, neither the transitional state of the other. A mismatch of criterion-domains is not a ranking.


Acknowledgments

In its three rounds of review and composition — divergence, outline, and full draft — this paper was aided by six AI instances: Claude, ChatGPT, Grok, Gemini, GLM, and DeepSeek. Their reviews contributed to the fixing of the framework, the guarding of wording, and the checking of citations; while every theoretical verdict, and responsibility for the text, remains the author's alone.


References

SAE Methodology and Framework

All SAE DOIs are concept DOIs (pointing to all versions).

[1] Qin, H. Negativa: On Negation Prior to Being. Zenodo. DOI: 10.5281/zenodo.19544620 [2] Qin, H. Via Rho: On ρ ≠ ∅. Zenodo. DOI: 10.5281/zenodo.19657440 [3] Qin, H. The Four-fold Pattern. Zenodo. DOI: 10.5281/zenodo.20187591 [4] Qin, H. Self-as-an-End: An Overview. Zenodo. DOI: 10.5281/zenodo.18842449 [5] Qin, H. To Forget the Self. Zenodo. DOI: 10.5281/zenodo.19059139 [6] Qin, H. SAE Buddhist Interface Series I: The Ālayavijñāna–Seed System and the 15DD Four-fold Pattern (An Interface Analysis of the SAE Framework and Yogācāra Buddhism). Zenodo. DOI: 10.5281/zenodo.20579131 [7] Qin, H. SAE Buddhist Interface Series II: The Chisel-Construct Cycle and Non-Abiding (An Interface Analysis of the SAE Framework and Chan Buddhism). Zenodo. DOI: 10.5281/zenodo.20635734 [8] Qin, H. SAE Buddhist Interface Series III: The Chisel and Emptiness (An Interface Analysis of the SAE Framework and Madhyamaka Buddhism). Zenodo. DOI: 10.5281/zenodo.20724854 [9] Qin, H. SAE Buddhist Interface Series IV: Cultivation and the "Highest" (An Interface Analysis of the SAE Framework and Tiantai Buddhism). Zenodo. DOI: 10.5281/zenodo.20788850

Huayan Sources (CBETA / Taishō)

Citations follow the fascicle and number of the Taishō Shinshū Daizōkyō (T); the edition is the CBETA electronic canon (cbetaonline.dila.edu.tw). The page·column·line of load-bearing quotations has been verified against CBETA; items marked "to collate" await final direct-reading before publication; general doctrinal references (a work's overall schema) are cited by work, not pinned to a single line.

[10] Fazang. Huayan jing tanxuan ji (Record of Fathoming the Profundities of the Avataṃsaka). CBETA, T35, no. 1733, 20 fascicles. [Verified against CBETA: the ten gates of the teaching-substance at fasc. 1, [0117c10]; the gate of the interfusion of phenomena and their mutual inclusion — mutual-immanence and mutual-identity, one-is-all — at fasc. 1, [0119a26]; the gate of Indra's net layer upon layer, the eighth gate, at fasc. 1, [0119b] (a different line from [0119a26]; exact sub-line to be pinned at final collation); the five teachings "dividing by meaning, not by period or event" at fasc. 1, [0115c04]; the four senses of nature-arising at fasc. 16, [0405b]; "clarifying the arising of function from substance" at fasc. 2, [0138c01], and "function arises in dependence on substance" at fasc. 4, [0171c15]; the śrāvakas "as deaf and blind" and its gloss "the universal eye not yet opened," "in reality bodhisattvas appearing as śrāvakas," at fasc. 18, [0442c25]. To collate at final: fasc. 18's "function arises in dependence on substance, hence called the multi-storied pavilion" [0441c10]; the nature-arising chapter of fasc. 16, cited by work.]

[11] Fazang. Huayan yisheng jiaoyi fenqi zhang (Treatise on the Meaning of the Five Teachings of the One Vehicle of Huayan; the Huayan wujiao zhang). CBETA, T45, no. 1866. [The names of the five teachings, "dividing the teachings by dharma, the teachings are of five kinds," fasc. 1, [481b] (to collate); the rafters-and-house simile for the perfect interfusion of the six characteristics (to collate); the old ten profound gates, cited by work.]

[12] Chengguan. Huayan fajie xuanjing (Mirror of the Mysteries of the Huayan Dharma-realm). CBETA, T45, no. 1883. [The systematization of the four dharma-realms and the four dharma-realm terms; cited by work, exact lines to collate.]

[13] Śikṣānanda (trans.). Dafangguang fo huayan jing (the Avataṃsaka, 80-fascicle). CBETA, T10, no. 279. [The "Entry into the Dharma-realm" chapter (Gaṇḍavyūha): Sudhana's fifty-three visits, the Tower of Vairocana's Adornments layer upon layer without end, Mañjuśrī's hand on the crown, Samantabhadra's crown-touching entry into the dharma-realm; approx. fasc. 77–80, exact fascicle-and-line to collate.]

[14] Prajñā (trans.). Dafangguang fo huayan jing (the Avataṃsaka, 40-fascicle; the "Practices and Vows of Samantabhadra"). CBETA, T10, no. 293, fasc. 40. [The ten great kings of vows — according with all beings, universal dedication; lines to collate.]

[15] Zhiyan (expounded), Fazang (recorded). Huayan yisheng shixuan men (The Ten Profound Gates of the One Vehicle of Huayan). CBETA, T45, no. 1868. [The old ten profound gates; cited by work for the old/new gate-list difference.]

[16] Nāgārjuna (author), Piṅgala (comm.), Kumārajīva (trans.). Zhonglun (Mūlamadhyamakakārikā). CBETA, T30, no. 1564. [Cited only for the mutual reference to Paper III; not carrying a Huayan interface conclusion.]

Modern Scholarship (reference layer)

By the series' discipline, modern Huayan scholarship may be used only to clarify the accuracy of Huayan's statements and the location of texts (reference layer); it carries no SAE claim (criterion layer).

[17] Sun, Y. On Chengguan's Thought of the Dharma-realm. [Journal article; reference layer, used for the location of Fazang's four-senses-of-nature-arising passage at tanxuan ji fasc. 16, T35 p405b, and of the five-teachings/圆教 material.]

[18] Cook, F. H. Hua-yen Buddhism: The Jewel Net of Indra. University Park: Pennsylvania State University Press, 1977. [On Indra's net and the interpenetration of phenomena; reference layer for the textual accuracy of the "form of the net" facet.]

[19] Cleary, T. (trans.). The Flower Ornament Scripture: A Translation of the Avatamsaka Sutra. Boston: Shambhala, 1993. [Complete English translation of the Avataṃsaka; reference layer for the "Entry into the Dharma-realm" narrative and the "Ten Grounds" material.]


This is the fifth paper in the SAE Buddhist Interface Series. It has interfaced, in turn, Yogācāra (the construct), Chan (the chisel), Madhyamaka (the law), Tiantai (cultivation), and now Huayan (the limit of the without-outside). Interface analysis does not adjudicate right and wrong; it aims to locate precisely where systems correspond and where they are mutually untranslatable. Self-as-an-End is left permanently untranslated.