Recognition Science Institute

The Papers

53 papers organized by logical dependency — the forcing chain from a single functional equation to physics, mathematics, biology, consciousness, and ethics.

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Reading Order

These papers are ordered not chronologically, but structurally — following the logical Dependency Graph (DAG) of Recognition Science. Start at the root (a single functional equation on ℝ>0), ascend the "spine" of derivations, and then branch into specific domains.

Every result in Sections I–III is pure mathematics. Physical semantics enter at Section III. Each subsequent track (Particles, Gravity, Mathematics, Life, Ethics) depends only on the spine above it.

The primitive:  J(x) = ½(x + x−1) − 1  — the unique cost function satisfying the Recognition Composition Law. Everything follows.

I. The Root

Foundation

The starting point: a functional equation, its unique solution, and the proof that you had no choice in the equation itself.

01
Peer-Reviewed · Axioms (MDPI)
Recognition Geometry
Defines the observational space, recognizers, and the recognition quotient. Space emerges as a quotient structure from recognition maps.
Journal PDF TeX
02
Preprint
The Recognition Composition Law
The single primitive: how recognition costs compose under multiplication and division. Uniquely determines J(x) = ½(x + x⁻¹) − 1.
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03
Preprint · arXiv
Uniqueness of the Canonical Reciprocal Cost
Proves the RCL forces the unique cost function. Co-authored with Zlatanović.
arXiv PDF TeX
04
Preprint · arXiv
Coherent Comparison as Information Cost
Derives the discrete ledger dynamics from the cost function. Double-entry balance, atomic ticks, closed-chain conservation.
arXiv PDF TeX
05
Preprint
D'Alembert Inevitability
Polynomial consistency forces the canonical composition law. The equation is not a modeling choice — it is a theorem. Co-authored with Zlatanović and Allahyarov.
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06
Preprint
Model-Independent Exclusivity on the Quotient State Space
Any zero-parameter framework is observationally equivalent to RS.
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51
Preprint
Gödel's Theorem Does Not Obstruct Physical Closure
Resolves the Gödelian objection by defining truth as cost-stabilization rather than Tarskian satisfaction.
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53
Preprint
The Recognition Stability Audit (RSA)
Formalizes the impossibility audit and certificates for existence claims. Cayley transform, Schur/Pick interpolation, 8-tick realizability.
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II. The Structure

Ontology

Existence, logic, dynamics, the golden ratio, and dimension — all derived, not assumed.

07
The Cost of Existence
Derives existence from the infinite cost of the void: J(0) → ∞. Existence is geometric necessity.
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52
The Law of Existence
The core ontological paper linking the Coercive Projection Method, Darwin, and physical constants.
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08
Logic From Physical Cost
Derives logical consistency (A=A) as the zero-cost ground state: J(1)=0. Logic is thermodynamic, not axiomatic.
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09
The Recognition Operator: Beyond the Hamiltonian
Defines R̂ as fundamental dynamics. Hamiltonian is a small-ε approximation. Predicts measurable departures.
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10
The Golden Ratio as a Universal Coherence Eigenvalue
φ as the unique fixed point of x = 1 + 1/x. Bridges Penrose tilings and RS cost dynamics. J(φ) ≈ 0.118.
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11
Dimensional Rigidity: D=3
Three independent proofs that D=3: Alexander duality, Kepler stability, minimal dyadic synchronization. Co-authored with Zlatanović and Allahyarov.
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III. The Waist

The Big Unlock

Where abstract mathematics meets physical reality: constants, measurement, coherence, and the mass spectrum.

12
The Derivation of Physical Constants from the Meta-Principle
The "Grand Central Station" paper deriving α, G, ℏ, c from the foundation through eight theorems T1–T8.
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50
Reality-Native Measurements with a Single-Anchor SI Bridge
Protocol for mapping RS dimensionless quantities to SI units via a single empirical anchor.
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61
Quantum Coherence as Gated Recognition
Derives coherence time from the 8-tick cycle. Born rule from J-cost path weights.
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58
The Octave System and the Particle Mass Spectrum
The 8-tick mechanism forcing mass rungs on the φ-ladder.
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IV. Particles

Track A

A six-paper series deriving charged fermion masses, mixing matrices, neutrinos, the fine-structure constant, and the generation problem — all from the 3-cube.

I
The Origin of Mass: Mechanism
Cost geometry, recognition boundaries, and the φ-ladder. Explicit claim hygiene separating proved foundation from structural hypotheses.
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II
Charged Fermion Masses and Flavor Mixing: Predictions
All nine charged fermion masses, CKM quark mixing, and PMNS leptonic mixing. Sub-ppm lepton accuracy. No per-species fitting.
PDF TeX
III
Neutrino Masses from the Deep φ-Ladder
Fractional rungs, mass splittings, and the φ⁷ ratio. Normal hierarchy with absolute mass predictions.
PDF TeX
IV
The Single-Anchor Scale and Transport Discipline
Derives μ★ = 182 GeV from mass-free stationarity. Non-circularity certificate. Lean-proved no-go theorem.
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V
The Fine-Structure Constant from Cube Geometry
α⁻¹ = 4π·11 − w₈·ln φ + 103/(102π⁵) ≈ 137.035. DFT-8 projection fully Lean-verified (zero sorry). 8.1 ppm from CODATA.
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VI
Why Three Generations?
Generation torsion {0, 11, 17} from the combinatorial hierarchy of the 3-cube. Dimensional coincidence theorem: E_passive + F = W iff D = 3.
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V. Computation

Track B · LNAL

18
Reality as Executable Code: LNAL Theory
Defines the Light-Native Assembly Language and its instruction set.
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19
A Universal Register Mapping for LNAL
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VI. Gravity

Track D · Cosmology

From baryogenesis to galaxy rotation curves — zero-parameter gravity and cosmology.

23
Recognition Science Baryogenesis
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24
Zero-Parameter Quantum Gravity
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76
Simplicial Ledger Topology
Proves the ledger is coordinate-free. Continuum limit recovers Einstein field equations.
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59
Octave Gravity
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25
ILG Scaffold
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28
Gravity as Pressure
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29
The Coercive Projection Law of Gravity
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30
Zero-Parameter Galaxy Rotation Curves
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31
Convergence of Empirical Optimization
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32
Information-Limited Gravity: Source-Side Tests (Dark Energy)
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33
Late-time Recognition-Weighted Growth and the Hubble Tension
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VII. Mathematics

Track E

The d'Alembert equation forces not just physics but mathematics itself.

34
A Weighted Diagonal Operator (Riemann Hypothesis)
RS approach to RH via spectral stability of the cost Hamiltonian.
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35
The Law of Mathematical Inevitability
Proves the d'Alembert cost functional forces numbers, proofs, and a universal referent. Resolves Wigner's effectiveness puzzle.
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36
Goldbach via a Mod-8 Kernel
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77
P vs NP via the Computation/Recognition Split
Exploratory framework: dual complexity T_c (computation) vs T_r (recognition). Conditional, not a resolution claim.
PDF TeX

VIII. Life

Track F

Entropy, thermodynamics, evolution, protein folding, emotion, aging — the bridge from physics to biology.

54
Entropy Is an Interface
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55
The Statistical Mechanics of Recognition
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56
Darwin as Minimum Description Length
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57
The Recognition Instrument for Abiogenesis
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26
Protein Folding from First Principles
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27
A CPM Companion for Protein Folding
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64
CPM Method Closure
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78
The Physics of Narrative
Stories as geodesics in moral-state space. Seven fundamental plots as topological classes.
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68
The Recognition Algebra of Emotion
14 fundamental emotions from J-cost gradient, curvature, and σ-export. Machine-verified.
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69
The Recognition Theory of Aging
Aging = accumulated unresolved ledger entries. Hayflick limit = φ⁴ × 8. Kleiber's 3/4 law from D=3.
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IX. Ethics

Track G

If RS is the true physics, morality is a conservation law — auditable, falsifiable, and free of tunable knobs.

44
Morality as a Conservation Law
Derives moral law from physical ledger invariants. σ=0 + harm as cost-externalization.
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45
Virtues as Generators
14 admissible operators on the σ=0 manifold. The complete minimal basis for ethical dynamics.
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48
The Geometry of Evil
Evil as geometric parasitism — maintaining stability by exporting harm. Precise, measurable, redeemable.
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