From Replication to Cognition: The Chisel-Construct Cycle of Life (5D–8D)
从复制到认知：生命的凿构循环（5D–8D）

From Replication to Cognition: The Chisel-Construct Cycle of Life (5D-8D)

Han Qin

Self-as-an-End Theory Series

Abstract

The dynamics paper ended with quantum measurement as a bridge — the law of causality operates perfectly in

the classical world, but the "jump from probability distribution to concrete outcome" at quantum measurement

falls outside causality's jurisdiction. This paper begins from the other end of that bridge: concretization emerges

at the molecular level as random combination, negation operates within the four-layer transcendental

foundation, and the only self-consistent direction is replication — pattern persistence across the spatiotemporal

limitation of individuals. Replication is the fifth-order chisel.

From replication onward, this paper demonstrates four chisel-construct cycles: the law of replication (5D) → the law of behavior (6D) → the law of perception (7D) → the law of cognition (8D). Each step follows the same unifying principle: negation operates within the accumulated transcendental foundation, and the only self-

consistent result is that layer's construct. Each layer's construct operates within the jurisdiction of the previous

layer but is not covered by the previous layer's vocabulary. The law of causality cannot describe replication, the

law of replication cannot describe self-maintenance, the law of behavior cannot describe perception, and the law

of perception cannot describe cognition. "Operating within jurisdiction" is not the same as "being reducible to"

— this is the structural error of reductionism.

The 8D endpoint of this paper — the law of cognition — produces self-consciousness. Self-consciousness

becomes aware of its own death. Death transforms from a biological event into a known event. This remainder

emerges as a bridge pointing toward 9D — the dividing line between nature and freedom. The next paper (the

Kant paper) begins from this bridge.

This paper references the dynamics paper ("Dynamics as Fourth-Order Chisel", DOI:

10.5281/zenodo.18799132) for the definition of the law of causality and the general structure of bridges, the

physics paper (DOI: 10.5281/zenodo.18793538) for the spacetime framework and the thermodynamic bridge,

and the mathematics paper (DOI: 10.5281/zenodo.18792945) for the transcendental foundation and the

inheritance principle.

Chapter 1: From the Law of Causality to the Law of Replication: The

Remainder of 4D and 5D

Core thesis: The law of causality states "the prior state constrains the range of the posterior state, but not vice

versa." This operates perfectly in the classical world. But at quantum measurement, the jump from probability

distribution to concrete outcome falls outside causality's jurisdiction. This remainder emerges at the molecular

level as random combination, negation operates within the four-layer transcendental foundation, and the only

self-consistent direction is replication. The law of replication is the construct of 5D.

1.1 Receiving the Dynamics Paper: The Completeness and Remainder of the Law of Causality

The dynamics paper (DOI: 10.5281/zenodo.18799132, hereafter "the dynamics paper") demonstrated the

complete structure of the fourth-order chisel: the subject exercises negation upon the direction of time,

operating within the three-layer accumulated transcendental foundation (the law of identity + the law of non-

contradiction + the spacetime framework), and the only self-consistent result is the law of causality — "along

the direction of time, within the light cone, the prior state constrains the range of the posterior state, but not vice

versa."

The law of causality operates perfectly in the classical world. Planetary orbits, chemical reaction rates, heat

conduction equations — all classical phenomena fall within causality's jurisdiction. Given a prior state and

physical laws, the range of the posterior state is fully determined.

But the dynamics paper did not stop at the classical perfection of causality. Chapter 7 of the dynamics paper demonstrated quantum measurement as the 4D→5D bridge: the Schrödinger equation itself is a perfect law of causality — given the initial state of the wave function and the Hamiltonian operator, the time evolution of the

wave function is fully determined. The law of causality is flawless here.

The gap appears at measurement.

What quantum measurement does is: jump from a probability distribution to a concrete outcome. The wave

function gives "50% probability spin-up, 50% probability spin-down." After measurement, a definite result is

obtained — say, spin-up. The law of causality can explain why the probability distribution is what it is (the

Schrödinger equation), but cannot explain why this particular concrete outcome occurred rather than another.

This is not a defect of the law of causality. It is the jurisdictional boundary of the law of causality. The law of

causality states "the prior state constrains the range of the posterior state." The probability distribution is the

range. But "which specific outcome within the range" falls outside causality's jurisdiction.

Section 7.2 of the dynamics paper demonstrated the precise location of Einstein's puzzlement within the

framework: "God does not play dice" — Einstein's dissatisfaction was not with the mathematics of the wave

function (the law of causality within the Schrödinger equation is perfect), but with the measurement jump.

Einstein wanted the law of causality to cover concrete outcomes — but that exceeds causality's jurisdiction.

Einstein's puzzlement is structurally isomorphic with Laplace's demon: the emergent layer attempting to

completely cover the foundational layer.

This is the remainder of the law of causality: concretization at quantum measurement.

1.2 The Fourth Bridge: From Quantum Measurement to Molecular Randomness

The remainder emerges as a bridge. Concretization at quantum measurement does not stay microscopic — it

emerges at the molecular level as observable structure.

A concrete molecular combination has appeared. Not because the law of causality commanded it to appear

(causality only gave the probability distribution), but because the concretization of quantum measurement was

realized once at the molecular level. This molecule might be a precursor of RNA, might be some autocatalytic

molecule, might be any chemically stable structure. The law of causality does not determine which one.

This is the structure of the fourth bridge. Recall the unified form of the first three bridges (dynamics paper,

Section 1.2):

Bridge = the remainder of the lower-order construct emerging under specific conditions. The bridge gives

the next-order chisel a definite direction.

First bridge: infinity. The remainder of the law of identity — "more than one" continuing without end. Gave

mathematics the direction of quantity.

Second bridge: extension. The remainder of the law of non-contradiction — exclusion presupposes interval,

interval continuing is extension. Gave physics the direction of extension.

Third bridge: thermodynamics. The remainder of the spacetime framework — at high degrees of freedom,

entropy increase breaks time symmetry. Gave dynamics the direction of time.

Fourth bridge: quantum measurement. The remainder of the law of causality — the jump from probability

distribution to concrete outcome. Gives 5D a definite direction: the direction of concretization.

There is a major difference between the first three bridges and the fourth. The remainders of the first three

bridges are measurable, experimentally testable, and calculable — infinity can be precisely handled in

mathematics, extension can be measured in physical experiments, entropy increase can be calculated in

thermodynamics. The remainder of the fourth bridge is not measurable — we cannot predict the concrete

outcome of quantum measurement, only the probability distribution.

This is not a temporary technical limitation. It is structural. The jurisdiction of the law of causality extends to

the probability distribution and no further. The concrete outcome lies outside causality's jurisdiction. This means

that from 5D onward, the mode of description necessarily shifts from mathematical-physical language to

experiential description. But the structural logic remains unchanged: remainders are still things outside the

jurisdiction of the previous layer's construct.

1.3 Why Replication Is the Only Self-Consistent Direction

Now we enter the core argument of this chapter.

A concrete molecular combination has appeared — the emergence of quantum measurement's concretization at

the molecular level. This molecule exists within the four-layer transcendental foundation:

The law of identity: this molecule is determinately this molecule (A=A).

The law of non-contradiction: this molecule cannot simultaneously not be this molecule (A≠not-A).

The spacetime framework: this molecule occupies a determinate position in spacetime.

The law of causality: the subsequent behavior of this molecule is constrained by its prior state — it

obeys the laws of physics and chemistry.

Under these four layers of constraints, what does this concrete molecule face?

Thermodynamics. Entropy increase. Degradation.

Under the jurisdiction of the law of causality, the natural trajectory of a molecule is decomposition, diffusion,

and approach toward equilibrium. This is not accidental — it is the direct consequence of thermodynamics (the 3D→4D bridge) at the molecular level. All molecular structures are degrading. All ordered arrangements are trending toward disorder.

Now, negation operates within the four-layer transcendental foundation. Negation faces the dimension of

"macroscopic negativity" — negativity is no longer merely the subject's mode of operation, but a physical event

itself (quantum measurement's concretization makes negativity an observable event at the molecular level).

Negating this trajectory (entropy increase / degradation), there are three logical possibilities:

The first: "not decomposing." Keeping this molecule from ever decomposing. But "not decomposing" is not

negation — it is merely a special trajectory within the law of causality. The law of causality can fully describe a

molecule that does not decompose (for example, diamond is extremely stable at room temperature). "Not

decomposing" does not exceed causality's vocabulary, and therefore is not a new construct. It is merely a special

case within causality's jurisdiction.

The second: "producing something different." This molecule participates in a chemical reaction, producing a

new molecule. But "producing something different" also requires no new structure — the law of causality already fully describes chemical reactions. A + B → C is a standard process within causality's jurisdiction. Nothing exceeds causality's vocabulary.

The third: "producing something identical." This molecule produces another molecule identical to itself —

pattern persistence.

The third is new. Why?

Because "identical" is not in the vocabulary of the law of causality. The law of causality states "the prior state

constrains the range of the posterior state," but causality does not state "the posterior state is identical to the

prior state." "Identical" requires a new criterion of judgment — pattern identity. This criterion presupposes the

law of identity (what counts as "identical"), but has no counterpart within the law of causality. The law of

causality describes the process from A to B, but does not care whether B is "identical" to A.

Replication — pattern persisting across the spatiotemporal limitation of individuals — is the only direction that

both negates the consequence of entropy increase (the pattern does not disappear, even if the individual

decomposes) and does not violate the four-layer transcendental foundation (every step obeys the laws of

physics — template replication is a perfectly legitimate chemical process).

To be precise: replication does not negate entropy increase itself — replication is local reverse-entropy,

requiring external energy, with total entropy still increasing. What replication negates is the consequence of

entropy increase: the disappearance of pattern. Moreover, replication is the only direction that, under the

constraints of the four-layer transcendental foundation, introduces a new criterion of judgment absent from

causality's vocabulary (pattern identity). "Not decomposing" and "producing something different" introduce no

new vocabulary — they remain within causality's existing vocabulary. A new construct must introduce new

vocabulary. Only replication does this.

The law of replication is the construct of 5D.

1.4 The Law of Replication and Its Consequences

After constructing the law of replication, the four-layer consequences propagate along the bridge chain (the

bridge-chain propagation mechanism demonstrated in dynamics paper Section 2.2):

The law of identity layer: the original is determinately the original, the replica is determinately the

replica. The original and the replica each satisfy A=A.

The law of non-contradiction layer: the original and the replica cannot be the same one. Though the

pattern is identical, original ≠ replica (the law of non-contradiction forbids A simultaneously being not-

The spacetime framework layer: replication unfolds in spacetime. Replication requires matter (raw

materials) and position (space). Replication is not abstract — it is a physical process.

The law of causality layer: replication has a direction. From original to replica, not reversible. You

cannot "reverse-engineer" the original from the replica — the replication process is irreversible

(thermodynamics ensures this).

The first empirical correspondent of the law of replication: RNA.

RNA is the crudest form of replication. A strand of RNA can serve as a template, producing another strand with

the same sequence under appropriate chemical conditions. This requires no cell, no metabolism, no self-

maintenance — only a template, raw materials, and chemical conditions. The RNA World Hypothesis is

precisely based on this observation: life may have originated from self-replicating RNA molecules.

Viruses are the pure manifestation of the law of replication. Viruses can replicate (using the host's machinery to

produce copies identical to themselves), but cannot self-maintain (viruses outside a host are just a collection of

chemicals, with no metabolism, no self-repair). Viruses precisely demonstrate the boundary of the law of

replication: capable of replication, incapable of anything else.

The core of the law of replication is pattern persistence — not persistence of matter (the original and the replica

have different atoms), not persistence of position (the replica is at a different location), but persistence of

sequence, structure, information. The law of replication answers a question that the law of causality does not

answer: how does a pattern persist beyond the finitude of an individual?

1.5 The Remainder of the Law of Replication: Imperfection

The law of replication says "preserve the pattern." But replication is never perfect.

Every replication has errors. RNA replication has an error rate of approximately 10 ³ to 10 (one error per

thousand to hundred thousand bases copied). Template degradation, insufficient raw materials, environmental

fluctuations — replication can never achieve exact copying.

This is not a technical limitation. It is structural.

Why? Because replication operates within the four-layer transcendental foundation. The law of causality states

"the prior state constrains the range of the posterior state" — note, the range, not the exact value. Quantum

measurement's concretization (the remainder of 4D) emerges at the molecular level as random fluctuations, and

these random fluctuations make every replication event impossible to be perfectly identical. The law of

replication inherits the remainder of the law of causality — the uncertainty of concretization.

The consequence of imperfect replication is mutation. Mutation is something the law of replication cannot

account for — the law of replication says "preserve the pattern," mutation says "the pattern cannot be

preserved." Mutation falls outside the jurisdiction of the law of replication.

Mutation is the remainder of the law of replication.

This remainder emerges as a bridge, pointing toward 6D.

Chapter 2: From the Law of Replication to the Law of Behavior: Mutation

and the Emergence of "Self"

Core thesis: The law of replication says "preserve the pattern." But replication is never perfect — mutation falls

outside the law of replication's jurisdiction. Facing the pressure of mutation and degradation, negation operates

within the five-layer transcendental foundation, and the only self-consistent direction is self-maintenance —

actively resisting degradation. "Self" appears for the first time. Self-maintenance unfolds into differentiation,

reproduction, and selection, unified within the law of behavior. The law of behavior is the construct of 6D.

2.1 The Fifth Bridge: From Mutation to Behavior

The remainder of the law of replication — mutation — emerges as a bridge.

What does mutation mean? The pattern cannot be preserved. The law of replication says "produce something

identical," but every replication event introduces small differences. These differences have three kinds of

consequences:

The first: the difference is lethal. The replica cannot continue replicating. The pattern is interrupted. This is

extremely common in the RNA world — the vast majority of mutations produce sequences that no longer

possess autocatalytic capacity.

The second: the difference is neutral. The replica can still replicate, but the sequence is slightly different. The

pattern has drifted.

The third: the difference is beneficial. The replica is more stable than the original, or replicates more efficiently.

The law of replication treats all three consequences equally — it only says "preserve the pattern," and does not

judge whether a mutation is good or bad. "Good" and "bad" are not in the vocabulary of the law of replication.

But the cumulative effect of mutation is determinate: without any counteracting mechanism, mutation +

degradation = the pattern eventually disappears. The law of replication delayed entropy increase (the pattern

persists temporarily), but did not fundamentally negate entropy increase. Mutation moved entropy increase from

the individual level to the pattern level — individuals can replicate, but the pattern itself is drifting, degrading.

This is the structure of the bridge. The remainder of the law of replication (mutation) emerges at the pattern

level as a new threat. The bridge gives 6D a definite direction: the direction of resisting pattern degradation.

2.2 Why Self-Maintenance Is the Only Self-Consistent Direction

A replicating but imperfect molecular system exists within the five-layer transcendental foundation:

The law of identity: this system is determinately this system.

The law of non-contradiction: this system cannot simultaneously not be this system.

The spacetime framework: this system occupies a position in spacetime, requiring matter and energy.

The law of causality: this system's behavior is constrained by the laws of physics.

The law of replication: this system can produce something identical to itself.

Facing mutation and degradation, negation operates within the five-layer transcendental foundation. Negating

this trajectory (pattern degradation), what self-consistent direction exists?

"More accurate replication." Reducing replication errors. But this is only optimization within the law of

replication — more accurate replication is still replication. This requires no new structure, only an improved

version of the law of replication. And thermodynamics guarantees that zero error is impossible — perfect

replication requires infinite information, violating the spirit of the third law of thermodynamics.

"Actively resisting degradation." Not passively waiting for replication to perpetuate the pattern, but actively

maintaining one's own integrity. Repairing damaged parts. Acquiring external matter and energy to maintain

structure. Separating oneself from the environment, forming a boundary.

The second is new. Why?

Because "actively" is not in the vocabulary of the law of replication. The law of replication says "produce

something identical" — replication is an event that either happens or doesn't. The law of replication has no

concept of "maintaining oneself." A strand of RNA does not "want" to maintain itself — it simply replicates

when chemical conditions permit.

"Actively resisting degradation" requires an entirely new structural concept: self.

This is the first appearance of "self." The first four layers have no "self" — the law of identity says "A is A," but

A does not know it is A. The law of non-contradiction says "A cannot simultaneously be not-A," but no one is

enforcing this exclusion. The spacetime framework does not distinguish "self" from "environment." The law of

causality does not distinguish "spontaneous" from "passive." The law of replication has pattern persistence, but

the pattern does not maintain itself — the pattern is merely replicated.

The chisel of 6D exercises negation within the five-layer transcendental foundation, and the direct product of

negation is self-maintenance — a system actively resisting its own degradation. "Self-maintenance"

presupposes a boundary (the distinction between self and environment), a direction (maintaining rather than

decomposing), and an operation (actively acquiring matter and energy).

Self-maintenance + five-layer transcendental foundation = the starting point of the law of behavior.

2.3 The Law of Behavior: The Construct of 6D

Self-maintenance is not the entirety of 6D. Self-maintenance is the direct product of the chisel; the law of

behavior is the complete construct. The law of behavior contains a four-step internal chisel-construct cycle —

each step is the negation of the previous step's remainder.

Step one: self-maintenance. The crudest form of behavior. A system actively resists degradation — acquiring

matter, acquiring energy, repairing damage, maintaining boundaries. Empirical correspondent: the cell. The cell

is the first system capable of self-maintenance — possessing a membrane (boundary), metabolism (acquiring

matter and energy), and repair mechanisms (resisting degradation). The cell can do what RNA cannot: RNA can

only replicate; the cell can maintain itself.

The remainder of self-maintenance: the self-maintaining unit has only one kind of function. What a single cell

can do is limited — it can maintain itself, replicate itself, but cannot simultaneously perform many different

tasks.

Step two: differentiation. Negating the homogeneity of self-maintenance. From homogeneity to heterogeneity

— different cells perform different functions. Empirical correspondent: multicellular organisms. Multicellularity

is not a simple stacking of cells — multicellularity means functional division of labor. Muscle cells and nerve

cells and skin cells are different. Differentiation presupposes self-maintenance (each cell still needs to maintain

itself), but differentiation exceeds the vocabulary of self-maintenance (self-maintenance does not distinguish

"this kind of maintenance" from "that kind of maintenance").

The remainder of differentiation: differentiation produces different individuals, but the information between

different individuals is isolated. Each individual's genome is its own copy, not mixed with others.

Step three: reproduction. Negating information isolation. The genetic information of two different individuals

is recombined — sexual reproduction. Empirical correspondent: the emergence of sexual reproduction. Sexual

reproduction is not a repetition of the law of replication — the law of replication says "produce something

identical," while sexual reproduction produces precisely something non-identical. Sexual reproduction is the

recombination of two different sets of genetic information, producing entirely new combinations.

Sexual reproduction presupposes differentiation (two different kinds of individuals are needed for

recombination), but exceeds the vocabulary of differentiation (differentiation does not distinguish "one

individual's information" from "the recombined information of two individuals").

The remainder of reproduction: sexual reproduction produces offspring with differences, but which offspring

survive and which do not is determined by no mechanism. The differences exist, but the fate of the differences

is random.

Step four: selection. Negating the randomness of the fate of differences. Individuals with differences face

environmental pressures, and the fittest survive — natural selection. Empirical correspondent: Darwin's natural

selection. Natural selection presupposes reproduction (without offspring with differences there is no material for

selection), but exceeds the vocabulary of reproduction (reproduction does not judge offspring as good or bad).

The four steps are complete, and the construct of the law of behavior is whole: self-maintenance → differentiation → reproduction → selection. These four steps are the internal unfolding of a single unifying principle, not four independent laws. Each step is the only self-consistent negation direction of the previous

step's remainder:

Self-maintenance negates pattern degradation (mutation + thermodynamics). The only self-consistent

direction: actively resisting degradation. (Same argumentative strength as the 5D law of replication.)

Differentiation negates the homogeneity of self-maintenance. The only self-consistent direction:

functional heterogenization — homogeneous self-maintaining units cannot simultaneously perform

multiple functions, and heterogenization is the only way to expand without violating prior constraints.

Reproduction negates the information isolation produced by differentiation. The only self-consistent

direction: information recombination — isolated information cannot be exchanged through homogeneous

replication (that would violate differentiation); it can only happen through the recombination of two

different sets of information.

Selection negates the randomness of differences produced by reproduction. The only self-consistent

direction: environmental filtering — the fate of diverse offspring cannot be determined internally (that

would violate the random recombination of reproduction); it can only be determined by the constraints of

the external environment.

The sequence is irreversible — no step can be skipped, because each step presupposes the construct of the

previous step.

But one must distinguish direction from path. The direction of each step's negation is unique (heterogenization,

information recombination, environmental filtering), but the path can branch. Heterogenization can be realized

as multicellularity, but also as colonies (biofilms) or symbiotic assemblages. Information recombination can be

realized as sexual reproduction, but also as horizontal gene transfer (bacteria directly exchanging DNA

segments). Environmental filtering can be realized as Darwinian natural selection, but also as symbiotic selection (Lynn Margulis) or multilevel selection. Life on Earth took one particular path — multicellularity → sexual reproduction → Darwinian selection. Another system satisfying the prior constraints might take a different path, or might even stop at a certain step and proceed no further. The framework constrains direction

and sequence, not path and endpoint.

2.4 Dialogue with Darwin

Darwin correctly identified the mechanism of selection: variation + inheritance + differential survival = natural

selection. The core argument of On the Origin of Species (1859) has never been overturned.

But what is the position of Darwin's theory within the framework?

Natural selection is not the fundamental law of biology — natural selection is the fourth step of the internal

chisel-construct cycle of the 6D law of behavior. Selection presupposes reproduction (step three), reproduction

presupposes differentiation (step two), differentiation presupposes self-maintenance (step one), self-

maintenance presupposes the law of replication (5D), the law of replication presupposes the law of causality

(4D), the law of causality presupposes the spacetime framework (3D), the spacetime framework presupposes

the law of non-contradiction (2D), and the law of non-contradiction presupposes the law of identity (1D).

Darwin saw the fourth step, but did not see the first three — he did not ask "why must there be self-

maintenance," "why must there be differentiation," "why must there be sexual reproduction." Darwin treated

selection as the starting point. The framework treats selection as the last of four steps.

This explains a puzzle that has long troubled evolutionary biology: why did sexual reproduction evolve? The

cost of sexual reproduction is enormous — only half of one's genes are passed to offspring (the "twofold cost"

problem). If natural selection is the sole driving force, sexual reproduction should not exist. But the framework's

answer is: sexual reproduction was not "driven" by selection; sexual reproduction is the third step of the law of

behavior — differentiation produced the remainder of information isolation, and the only self-consistent

direction for negating this remainder is information recombination. Selection (step four) appears only after

reproduction (step three). Using the fourth step to explain the existence of the third step reverses the order.

2.5 The Remainder of the Law of Behavior: The Blindness of Selection

The law of behavior is complete. Self-maintenance → differentiation → reproduction → selection. But selection has a structural limitation:

Selection is blind.

Selection has no direction. Selection does not "know" how the environment will change. Selection can only do

one thing: among the existing diverse individuals, let those adapted to the current environment survive. If the

environment changes, previously selected traits may no longer be adaptive. Dinosaurs were selected for sixty

million years in the Cretaceous environment; an asteroid impact changed the environment, and all previously

selected advantages instantly became disadvantages.

The blindness of selection is not a defect of selection — it is the structural boundary of the law of behavior. The

vocabulary of the law of behavior does not contain "knowing what the environment is." The law of behavior

only has "resisting degradation," "differentiating," "recombining," "filtering." "Knowing" is not among these

words.

The blindness of selection is the remainder of the law of behavior.

This remainder emerges as a bridge, pointing toward 7D.

Chapter 3: From the Law of Behavior to the Law of Perception: Blindness

and the Emergence of "Sensing"

Core thesis: All four steps of the law of behavior's cycle (self-maintenance → differentiation → reproduction → selection) are blind — none of them "knows" what the environment is. Facing the blindness of selection, negation operates within the six-layer transcendental foundation, and the only self-consistent direction is

perception — actively acquiring environmental information. "Sensing" appears for the first time. The law of

perception is the construct of 7D.

3.1 The Sixth Bridge: From Blindness to Perception

The blindness of selection emerges as a bridge.

What does blindness mean? A system under the jurisdiction of the law of behavior has no information about the

environment. A cell resists degradation, but does not know where the degradation pressure comes from. A

multicellular organism differentiates functions, but does not know which function is more useful in the current

environment. Sexual reproduction recombines information, but does not know which combination better fits the

environment. Natural selection filters individuals, but the filtering criterion (the environment) is opaque to the

filtered.

All of these processes operate within the jurisdiction of the law of causality — chemical reactions, physical

processes, thermodynamic constraints — but none of these processes contains the operation "acquiring

information about the environment." The vocabulary of the law of behavior has "resisting," "differentiating,"

"recombining," "filtering," but not "perceiving."

The cost of blindness is enormous. Selection can only filter after the fact — individuals that do not fit the

environment are already dead before selection "knows" they were unfit. This is an extremely inefficient way to

acquire information: using death to acquire information.

The structure of the bridge: the remainder of the law of behavior (the blindness of selection) emerges at the

population level as information scarcity. The bridge gives 7D a definite direction: the direction of acquiring

environmental information.

3.2 Why Perception Is the Only Self-Consistent Direction

A biological system capable of self-maintenance, differentiation, reproduction, and being selected exists within

the six-layer transcendental foundation (the law of identity + the law of non-contradiction + the spacetime

framework + the law of causality + the law of replication + the law of behavior).

Facing blindness, negation operates within the six-layer transcendental foundation. Negating this trajectory

(having no information about the environment), what self-consistent direction exists?

"More efficient selection." Increasing population size, generating more variation, letting selection filter out the

adapted more quickly. But this is only optimization within the law of behavior — more efficient selection is still

blind selection. Selection does not become sighted by being faster. This requires no new structure.

"Acquiring environmental information before death." Not waiting for selection to filter after the fact, but

actively perceiving the environment, reacting before danger arrives.

The second is new. Why?

Because "before death" presupposes an entirely new temporal structure: preventive response. All operations of

the law of behavior are in the present — self-maintenance is presently resisting degradation, differentiation is

presently executing functions, reproduction is presently recombining information, selection is presently (after

the fact) filtering. None of these steps contains "foreseeing what is about to happen."

What perception does is: receive physical signals from the environment (light, chemicals, pressure,

temperature), and between the arrival of the signal and the arrival of danger, change behavior. This requires an

entirely new structure: a causal channel from environmental signal to behavioral change — not the

environment directly acting on the system (that is a physical process already covered by the law of causality),

but the system actively using environmental signals to adjust its own behavior.

Perception + six-layer transcendental foundation = the law of perception.

3.3 The Law of Perception: The Construct of 7D

The empirical correspondent of the law of perception: the nervous system.

The nervous system is the first structure specialized for perception. Phototactic bacteria have primitive chemical

sensing, but the nervous system concentrates perception from scattered chemical reactions into a specialized

information-processing channel. Neurons receive signals, transmit signals, integrate signals, and output

behavioral commands — this entire chain is the concrete realization of the law of perception.

The law of perception has its own internal chisel-construct cycle, from coarse to fine:

Phototaxis. The crudest form of perception. Photosensitive molecules detect the presence or absence of light,

driving the direction of movement. The information content is minimal — only "light" and "no light." But this

already exceeds the vocabulary of the law of behavior — the law of behavior has no word for "detect."

Chemoreception. Detecting the concentration of chemicals in the environment. The information content

increases — not just "presence or absence," but "concentration gradient." Bacterial chemotaxis is a classic case

of chemoreception.

Touch. Detecting physical contact. Information expands from chemical to mechanical — detecting not just

molecules, but force.

Vision. Detecting the spatial distribution of light. The information content explodes — not just "light or no

light," but the light intensity distribution across the entire spatial field. The evolution of the eye is a peak of the

internal chisel-construct cycle of the law of perception — independently evolved dozens of times (convergent

evolution), each time an unfolding of the law of perception in a different species.

The order of these internal steps is not accidental. From coarse to fine — from "presence or absence" to

"gradient" to "contact" to "spatial field" — each step's information content increases, each step presupposes the

previous one. You cannot skip "detecting presence or absence" and go directly to "detecting spatial

distribution."

3.4 The Relationship Between the Law of Perception and the Law of Causality

The relationship between the law of perception and the law of causality deserves separate discussion, because

this relationship applies to all layers from 5D to 8D.

Perception operates within the jurisdiction of the law of causality. Every perceptual process is a physical

process — photons exciting retinal opsins, chemical molecules binding receptor proteins, electrical signal

transmission in neurons — all obeying the laws of physics and chemistry. The law of causality fully covers

every physical step of perception.

But the law of causality cannot describe the law of perception.

The law of causality states "the prior state constrains the range of the posterior state." The law of causality can

describe "a photon strikes retinal opsin, the protein changes conformation, triggering an electrical signal." But

the law of causality does not say "this electrical signal is information about an external light source." "About" is

not in the vocabulary of the law of causality. "Information" is not in the vocabulary of the law of causality.

"What a signal represents" is not in the vocabulary of the law of causality.

The law of causality can describe the complete physical process from photon to electrical signal. The law of

causality cannot describe "this process constitutes perception."

This is the core position of this paper: "operating within jurisdiction" is not the same as "being reducible

to." Perception operates within the jurisdiction of the law of causality — every step obeys the laws of physics.

But perception cannot be reduced to the law of causality — because causality's vocabulary does not contain the

concepts "about," "information," or "represents."

This is not a special case of 5D-8D. It is the universal structure of every layer. The law of non-contradiction

operates within the jurisdiction of the law of identity (exclusion presupposes identity), but the law of non-

contradiction cannot be reduced to the law of identity. The spacetime framework operates within the jurisdiction

of the law of non-contradiction (interval presupposes exclusion), but the spacetime framework cannot be

reduced to the law of non-contradiction. The law of causality operates within the jurisdiction of the spacetime

framework, but the law of causality cannot be reduced to the spacetime framework.

The structural error of reductionism lies precisely here: equating "operating within jurisdiction" with "being

reducible to." The framework demonstrates the fundamental difference between these two — each layer

operates within the jurisdiction of the previous layer, but each layer's vocabulary contains concepts absent from

the previous layer.

3.5 The Remainder of the Law of Perception: Presentness

The law of perception says "acquire environmental information." But perception has a structural limitation:

Perception is present.

Perception perceives only the current environment. The eye sees current light. The ear hears current sound.

Chemoreception detects current concentration. No perceptual organ can perceive the past environment — past

light has already disappeared. No perceptual organ can perceive the future environment — future light has not

yet arrived.

The vocabulary of the law of perception has "detect," "signal," "react." It does not have "past," "remember,"

"future," "predict."

The presentness of perception is not a technical limitation — it is not that perceptual organs are not good

enough to perceive only the present. It is structural: what the law of perception defines is "a causal channel from

current environmental signals to behavioral change." "Current" is part of this definition.

The cost of presentness: perception can only react to signals that have already arrived, not to signals that have

not yet arrived. An animal sees a predator (a current signal) and can flee. But it cannot "remember" that it

encountered a predator at this location last time (a past signal), nor can it "predict" that a predator might come

from that direction (a future signal).

The presentness of perception is the remainder of the law of perception.

This remainder emerges as a bridge, pointing toward 8D.

Chapter 4: From the Law of Perception to the Law of Cognition:

Presentness and the Emergence of "Internal Operations"

Core thesis: The law of perception says "acquire current environmental information." But perception is fleeting

— current perception leaves no trace. Facing the presentness of perception, negation operates within the seven-

layer transcendental foundation, and the only self-consistent direction is retention — retaining past perceptions.

Retention unfolds into memory, prediction, and self-consciousness, unified within the law of cognition. The law

of cognition is the construct of 8D. The remainder of 8D — awareness of death — is the dividing line between

nature and freedom.

4.1 The Seventh Bridge: From Presentness to Retention

The presentness of perception emerges as a bridge.

What does presentness mean? Every perception is one-time. Perception occurs, behavior changes, then

perception vanishes. The next time the same situation is encountered, the system starts from zero — with no

trace of the previous perception.

At the level of the law of behavior (6D), this is not a problem — natural selection can indirectly compensate for

the presentness of perception through gene-level "memory" (beneficial mutations accumulating in the

population). A species that undergoes millions of years of natural selection "learns" to flee when seeing a certain

color — but this "learning" is at the gene level, not the individual level. Every individual still perceives from

zero.

But gene-level "memory" is extremely slow — it requires generational accumulation. Within an individual's

lifetime, the presentness of perception means: the same mistake can be repeated, the same danger can be

encountered again, the same opportunity can be missed again.

The structure of the bridge: the remainder of the law of perception (presentness) emerges at the individual level

as the non-accumulability of information. The bridge gives 8D a definite direction: the direction of retaining

perception.

4.2 Why Retention Is the Only Self-Consistent Direction

A biological system capable of perceiving the current environment exists within the seven-layer transcendental

foundation (the law of identity + the law of non-contradiction + the spacetime framework + the law of causality

+ the law of replication + the law of behavior + the law of perception).

Facing presentness, negation operates within the seven-layer transcendental foundation. Negating this trajectory

(perception leaving no trace), what self-consistent direction exists?

"More acute perception of the present." Increasing perceptual precision, acquiring more information from

each present perception. But this is only optimization within the law of perception — more acute perception is

still present. You see more clearly, but you still do not remember what you saw yesterday. This requires no new

structure.

"Retaining past perceptions." Not letting perceptions vanish, but leaving traces within the system, so that past

perceptions can influence present behavior.

The second is new. Why?

Because "retention" requires an entirely new structure: internal representation. The signal channel of the law of perception runs from outside to inside and back out — external signal → internal processing → behavioral output. Once signal processing is complete, the channel is cleared. "Retention" means that after signal

processing is complete, the channel is not cleared — the system retains an internal trace, and this trace is not a

current external signal, but an internal representation of a past external signal.

Internal representation is not in the vocabulary of the law of perception. The vocabulary of the law of perception

has "signal," "detect," "react" — all present and external. "Internal representation" is about the past and internal.

This is an entirely new concept.

Retention + seven-layer transcendental foundation = the starting point of the law of cognition.

4.3 The Law of Cognition: The Construct of 8D

The law of cognition contains a three-step internal chisel-construct cycle — each step is the negation of the

previous step's remainder.

Step one: memory. Retaining past perceptions, using the past to guide the present. Empirical correspondent:

the hippocampus and synaptic plasticity. A mouse runs through a maze, and next time runs faster — because the

previous perception has been retained as changes in synaptic connection strength. Memory is not a perfect

recording — memory is a compressed representation of past perception, reconstructed and simplified.

The remainder of memory: memory retains the past, but memory itself cannot tell you what will happen in the

future. Memory says "last time I encountered a predator here"; it does not say "will I encounter a predator here

next time."

Step two: prediction. Using past patterns to project the future. Negating the remainder of memory — not just

retaining the past, but using the past to infer the future. Empirical correspondent: from conditioned reflexes to

causal reasoning.

The internal structure of prediction corresponds to Judea Pearl's causal ladder — the dynamics paper (Section

4.3) positioned Pearl at the methodological level:

Association (first rung): seeing A and B appear together, expecting B next time A appears. This is the crudest

form of prediction — using only correlation.

Intervention (second rung): if I do X, will Y happen? This goes one step beyond association — not just

observing, but imagining the effect of one's own action on the environment.

Counterfactual (third rung): if I had not done X, would Y still have happened? This is the finest form of

prediction — imagining not just the future, but an unrealized past.

The dynamics paper stated that Pearl's causal inference methodology belongs to 4D (a methodological tool of

the law of causality). This paper states that Pearl's causal ladder as a biological cognitive capacity belongs to 8D

(the internal structure of the law of cognition). The two positions do not contradict: the methodology Pearl

invented is a 4D tool, but the causal reasoning capacity that organisms "discovered" through evolution is an 8D

construct. Methodology and capacity are not at the same layer.

The remainder of prediction: prediction projects the future, but prediction does not know "who is doing the

projecting."

Step three: self-consciousness. Becoming aware that "it is I who am doing this" — self-reference. Negating the

remainder of prediction — not just projecting the future, but knowing "the subject doing the projecting is

myself." Empirical correspondent: the mirror test, theory of mind.

Self-consciousness is the final step of the internal chisel-construct cycle of the 8D law of cognition. Self-

consciousness presupposes memory (knowing "it is I" presupposes retention of one's own past experiences) and

prediction (knowing "I am doing" presupposes projection of the consequences of one's own actions), but self-

consciousness exceeds the vocabulary of memory and prediction — neither memory nor prediction requires the

concept "I." You can have perfect memory and perfect predictive ability, yet not know who is doing the

remembering and predicting. Self-consciousness is the appearance of this "who."

A note: Freud's ego is positioned here within the framework — the self-consciousness function of the 8D law of

cognition. The ego is the function that "knows what it is doing": self-monitoring, reality testing, coordinating

between instinctual drives and the external world. Freud's id (blind drive) is closer to the level of the 6D law of

behavior or the 7D law of perception. Freud's superego (internalized social norms) involves 9D — but the

superego is the colonized state of 9D, not the healthy unfolding of 9D. The complete positioning of

psychoanalysis within the framework awaits a separate paper.

4.4 The Remainder of the Law of Cognition: Awareness of Death

The law of cognition is complete. Memory → prediction → self-consciousness. But self-consciousness has an unavoidable consequence:

Self-consciousness becomes aware of its own death.

Death exists at 6D — cells die, organisms die, species go extinct. But death at 6D is a biological event — it

happens, the system ceases to operate, the pattern is interrupted. A 6D system does not "know" it will die.

Perception at 7D does not change this — an animal with perceptual capacity can perceive a current threat (a

predator has arrived) and produce a flight response, but it does not "know" that it will someday die. Perception

is present — perception does not process the temporal concept "someday" that spans an entire lifespan.

Memory and prediction at 8D make awareness of death possible: memory retains the experience of conspecifics

dying (I have seen other individuals die), prediction projects one's own future (I too will reach the same

endpoint), and self-consciousness directs this projection at oneself (the one who will die is "I").

Three steps together: I know I will die.

This is an entirely new existential state. Death transforms from a biological event into a known event. A rock

does not know it will be weathered. A strand of RNA does not know it will degrade. A cell does not know it will

undergo apoptosis. An animal with perceptual capacity does not know it will eventually die. Only a system

possessing memory + prediction + self-consciousness can know that it will die.

Awareness of death is the remainder of the law of cognition.

The law of cognition says "retain the past, project the future, know it is I who am doing this." The law of

cognition does not say "what to do after knowing." The law of cognition gives the fact "I know I will die," but

does not give a response to this fact. "I know I will die — then what?" — this question falls outside the

jurisdiction of the law of cognition.

4.5 The Dividing Line Between Nature and Freedom

Awareness of death emerges as a bridge — the bridge from 8D to 9D. This bridge is the dividing line between

nature and freedom.

Below 8D (1D to 8D) is nature. The chisel-construct cycles of all eight layers can be described entirely in the

vocabulary of the natural sciences — the law of identity belongs to logic, the law of non-contradiction to

mathematics, the spacetime framework to physics, the law of causality to dynamics, the law of replication to

molecular biology, the law of behavior to evolutionary biology, the law of perception to neuroscience, and the

law of cognition to cognitive science. Each layer has a corresponding natural science discipline, and each layer's

construct can be experimentally tested.

Above 9D is freedom. "I know I will die, yet I still act — why?" No natural science can answer this question.

Physics does not answer "why live." Biology does not answer "why make meaning." Cognitive science can

describe the neural mechanisms of "knowing that one will die," but cannot describe "the reason for still acting

after knowing."

Kant's nature/freedom dichotomy — the first Critique deals with nature (what can we know), the second

Critique deals with freedom (what ought we to do), the third Critique attempts to bridge the two — receives a

precise positional identification within the framework: nature = 1D to 8D, freedom = 9D and above, bridge =

awareness of death.

The next paper (the Kant paper) begins from the other end of this bridge.

Chapter 5: General Discussion

5.1 The Unified Structure of Four New Constructs

This paper has demonstrated four new constructs: the law of replication (5D) → the law of behavior (6D) → the law of perception (7D) → the law of cognition (8D). All four constructs follow the same unifying principle:

Negation operates within the accumulated transcendental foundation, and the only self-consistent result

is that layer's construct.

The law of replication: negation faces the consequence of entropy increase (the disappearance of pattern),

operating within the four-layer transcendental foundation, and the only self-consistent direction is the

persistence of pattern across individuals. Replication is the only direction that introduces a new criterion of

judgment absent from causality's vocabulary (pattern identity).

The law of behavior: negation faces mutation (pattern degradation), operating within the five-layer

transcendental foundation, and the only self-consistent direction is actively resisting degradation.

The law of perception: negation faces blindness (having no information about the environment), operating

within the six-layer transcendental foundation, and the only self-consistent direction is actively acquiring

environmental information.

The law of cognition: negation faces presentness (perception leaving no trace), operating within the seven-layer

transcendental foundation, and the only self-consistent direction is retaining past perceptions.

The argumentative structure of each layer is identical. Each layer's construct is unique — not one chosen among

multiple possibilities, but the only self-consistent direction permitted by the constraints of the transcendental

foundation.

5.2 A Structural Critique of Reductionism

5D through 8D all operate within four-dimensional spacetime and all obey the law of causality. Every

replication process, every cell division, every neural impulse, every memory encoding — all are physical and

chemical processes, all within the jurisdiction of the law of causality.

But the vocabulary of the law of causality cannot describe replication ("pattern identity" is not in causality). The

vocabulary of the law of replication cannot describe self-maintenance ("self" is not in replication). The

vocabulary of the law of behavior cannot describe perception ("about" is not in behavior). The vocabulary of the

law of perception cannot describe cognition ("internal representation" is not in perception).

The error of reductionism is not factual — reductionists correctly point out that all biological processes are

physical processes. The error of reductionism is categorial — equating "operating within jurisdiction" with

"being reducible to." The framework demonstrates the fundamental difference between these two.

This also explains why biology is not applied physics. The subdisciplines of biology correspond to different D

layers: molecular biology corresponds to 5D (the law of replication), cell and evolutionary biology to 6D (the

law of behavior), neuroscience to 7D (the law of perception), and cognitive science to 8D (the law of

cognition). The autonomy of each subdiscipline is not a matter of convenience ("too complex, so we study them

separately") but of structure ("different vocabularies, so they cannot be reduced").

5.3 Temporal Order and Coarseness Order

RNA → cells → multicellular organisms → sexual reproduction → natural selection → nervous systems → memory → prediction → self-consciousness.

This temporal order is strictly from coarse to fine. RNA (~3.8 billion years ago) appeared before cells (~3.7

billion years ago). Cells appeared before multicellular organisms (~600 million years ago). Multicellular

organisms appeared before sexual reproduction. Sexual reproduction appeared before complex nervous systems.

Nervous systems appeared before higher cognitive capacities.

The temporal order is consistent with the logical order of the framework — Section 2.4 of the dynamics paper

demonstrated "structural necessity": the order of coarseness is not accidental but a structural consequence of the

accumulation of the transcendental foundation. Evolution cannot skip layers. You cannot have self-maintenance

without replication (self-maintenance presupposes replication — what is maintained is a replicable pattern). You

cannot have memory without perception (memory retains perceptions — without perception there is nothing to

retain).

5.4 The Shift in Language and the Continuity of Structure

The remainders of 1D through 4D are measurable, experimentally testable, and calculable. Infinity can be

precisely handled in mathematics. Extension can be measured in physical experiments. Entropy increase can be

calculated in thermodynamics. The law of causality can be tested in experiments.

The remainders from 5D onward are not measurable, not experimentally testable, and not calculable. "The

imperfection of replication" can be observed at the molecular level, but "why replication is the only direction"

cannot be tested in the laboratory — this is a philosophical argument, not an experimental hypothesis. "The

blindness of selection" can be described in population genetics, but "why perception is the only direction" is a

structural argument. "Awareness of death" can be studied in cognitive neuroscience through its neural

correlates, but "what to do after knowing one will die" is not a neuroscientific question.

The mode of description shifts from mathematical-physical language to experiential description. But the

structural logic remains unchanged.

From 1D to 8D, each layer's argumentative form is identical: the remainder of the previous layer's construct

emerges as a bridge, the bridge gives the next layer a definite direction, negation operates within the

accumulated transcendental foundation, and the only self-consistent result is that layer's construct. This form

does not change because the language has changed. Remainders are still things outside the jurisdiction of the

previous layer's construct — not arbitrary "unsolved problems" plucked from phenomena, but structural gaps

that the construct's vocabulary cannot in principle cover.

5.5 Non-Trivial Predictions

The structure of this paper generates the following testable predictions:

Prediction one: replication precedes self-maintenance. In any system satisfying the prior constraints,

replication must appear before self-maintenance. It is impossible for metabolism to precede replication. This

directly conflicts with the metabolism-first hypothesis. If extraterrestrial life is discovered or life is synthesized

in the laboratory in the future, the capacity for replication should appear before the capacity for self-

maintenance.

Prediction two: information recombination presupposes functional heterogenization. Sexual reproduction

(or any form of information recombination) cannot appear in a system without functional differentiation.

Horizontal gene transfer in single-celled organisms is not a counterexample — bacterial colonies already

possess functional heterogenization (different bacteria perform different functions within biofilms).

Prediction three: self-consciousness presupposes counterfactual reasoning. Animals that demonstrate self-

consciousness through the mirror test or equivalent tests must necessarily possess counterfactual reasoning

capacity (the third rung of Pearl's causal ladder). Self-consciousness cannot appear in a system without

predictive capacity.

Prediction four: a complete 8D structure produces termination awareness. Any artificially constructed

system — whether synthetic biology, artificial intelligence, or any other form — that realizes the complete

structure of the 8D law of cognition (memory + prediction + self-consciousness) will inevitably produce

awareness of its own termination (death / shutdown / degradation). This is not a design choice but a necessary

consequence of the 8D structure.

The common feature of these four predictions: they are all consequences of the layer ordering. If the

framework's layer ordering is correct, these predictions must hold. If any one of them is falsified, the

framework's layer ordering requires revision.

5.6 From Nature to Freedom

This paper began from the law of causality and arrived at the law of cognition. From the physical world to

organisms with memory, prediction, and self-consciousness. From stone to a being that knows it will die.

8D is the endpoint of the natural sciences. All constructs of 8D can be experimentally tested, described by

equations, and explained by mechanisms. Cognitive neuroscience can fully describe the synaptic mechanisms of

memory, the neural circuits of prediction, and the brain regions associated with self-consciousness.

But the remainder of 8D — awareness of death — points beyond the natural sciences. "I know I will die" is a

product of the law of cognition. "I know I will die, yet I still act — why?" is a question the law of cognition

cannot answer.

This question is the bridge to 9D. The next paper (the Kant paper) begins from this bridge.

Acknowledgments and Declaration

During the finalization process, this paper was independently reviewed by Claude (Anthropic), Gemini

(Google), ChatGPT (OpenAI), and Grok (xAI). The four systems provided feedback from perspectives

including structural consistency, logical density, risk identification, and cross-disciplinary readability. The

precise formulation of the 5D law of replication ("negating the consequence of entropy increase rather than

entropy increase itself") and the direction/path distinction in the 6D law of behavior ("the framework constrains

direction and sequence, not path and endpoint") directly benefited from these reviews.

Zesi Chen provided continuous review and critique throughout this paper. The positioning of Freud's

ego/superego within the framework (8D/9D) directly benefited from discussions with her. Without Zesi's critical

contributions, this paper would not exist.

Series Position

Self-as-an-End Theory Series, Applied Paper No. 5

Preceding:

Philosophy paper: "Philosophy as Subject-Activity" (DOI: 10.5281/zenodo.18779382) — 1D, the law of

identity

Mathematics paper (DOI: 10.5281/zenodo.18792945) — 2D, the law of non-contradiction

Physics paper (DOI: 10.5281/zenodo.18793538) — 3D, the spacetime framework

Dynamics paper: "Dynamics as Fourth-Order Chisel" (DOI: 10.5281/zenodo.18799132) — 4D, the law

of causality

Following:

Kant paper (forthcoming) — 9D-10D, the law of living-toward-death and the law of non dubito