Coty Austin Trout

CAT'S Theory: The Meta-Ontological Invariant: Pre-Axiomatic Priority, Triadic Modal Completeness, and Shannon Channel Equivalence

CAT'S Theory — Foundational Layer-1 Anchor Manuscript: Every formal system presupposes structural conditions under which its axioms function as axioms and its invariants function as invariants, yet no axiom-dependent framework derives these conditions from within itself. Within C...

Mutation Is Noise: The Information-Theoretic Impossibility of Undirected Macroevolution from Shannon Theory, Quantum Information, and Thermodynamics

We formally classify biological mutations as noise in the precise technical sense defined by Shannon's mathematical theory of communication and derive five independent information-theoretic impossibility results for undirected macroevolution—the generation of new specified biolog...

Peer Review Response: Ten Technical Challenges for CAT'S Theory — Derivations, QGP Predictions, and Topological Perfect Fluidity

Formal axiomatization of the torus knot architecture on S³, responding to ten specific challenges raised during peer review by a Princeton-trained theoretical physicist. Built on three geometric axioms — S³ as the physical manifold, the Hopf fibration S³ → S² with S¹ fibers, and...

The Torus Was Always There: Convergent Discovery of Topological Particle Structure from Williamson–van der Mark (1997) to CAT'S Theory (2024–2026)

In 1997, Williamson and van der Mark modeled the electron as a single-wavelength photon confined to toroidal topology, deriving charge (q ≈ 0.91e), half-integer spin, the anomalous g-factor, and the de Broglie wavelength from one postulate. They explicitly identified three open p...

The Complete Specification of Intent: Three Axes, Twelve Cells, and the Deductive Chain to a Self-Knowing Ground

A synthesis companion to Triadic Meta-Ontological Realism: From Invariant to Trinity. Presents the complete specification of Intent (the second factor of R = P × I × Pr ≠ 0) in a single arc: definition (directed selection), corruption chain (Brentano → Chisholm → Searle → Dennett...

CAT'S THEORY: Ground and Act: The Dual-Aspect Closure of Intent

The second factor of the triadic invariant R = P × I × Pr ≠ 0 has been specified along two published axes: level (I₀/I₁/I₂, The Ladder of Selection) and mode (I꜀/Iᵦ, The Nine Gates). This paper introduces a third axis — aspect — via the dual-aspect decomposition: Iα (directedness...

The Architecture of Digital Sophistry: A Sociological and Epistemic Autopsy of Performative Eristics, Academic Parasitism, and Bad-Faith Discourse

This document presents a comprehensive sociological and philosophical case study detailing the rise of "Performative Eristics" within online debate subcultures. Operating across the ideological spectrum—encompassing both hyper-skeptical "new atheists" and jargon-reliant tradition...

Intent as Directed Selection: Mainstream Biological Evidence for the Irreducibility of the Triadic Invariant's Second Factor

A persistent objection to the triadic invariant R = P × I × Pr ≠ 0 targets its second factor: Intent, critics argue, is a psychological property of conscious agents and therefore cannot be a fundamental structural feature of reality. This objection rests on a folk definition cont...

Intent as Directed Selection: Mainstream Biological Evidence for the Irreducibility of the Triadic Invariant's Second Factor

A persistent objection to the triadic invariant R = P × I × Pr ≠ 0 targets its second factor: Intent, critics argue, is a psychological property of conscious agents and therefore cannot be a fundamental structural feature of reality. This objection rests on a folk definition cont...

CAT'S Theory Addendum: Empirical Convergence of the PMNS Matrix, Zero-Parameter Likelihood Evaluation, and the Diophantine Packing Functional

This addendum develops and evaluates a zero-parameter formulation of the Pontecorvo–Maki–Nakagawa–Sakata (PMNS) neutrino mixing matrix within CAT'S Theory. The framework models stable matter states through torus-knot topology on the S³ manifold and formalizes a Diophantine packin...

CAT'S Theory Addendum: Empirical Convergence of the PMNS Matrix, Zero-Parameter Likelihood Evaluation, and the Diophantine Packing Functional

This addendum develops and evaluates a zero-parameter formulation of the Pontecorvo–Maki–Nakagawa–Sakata (PMNS) neutrino mixing matrix within CAT'S Theory. The framework models stable matter states through torus-knot topology on the S³ manifold and formalizes a Diophantine packin...

CAT'S Theory Addendum: Empirical Convergence of the PMNS Matrix, Zero-Parameter Likelihood Evaluation, and the Diophantine Packing Functional

This addendum develops and evaluates a zero-parameter formulation of the Pontecorvo–Maki–Nakagawa–Sakata (PMNS) neutrino mixing matrix within CAT'S Theory. The framework models stable matter states through torus-knot topology on the S³ manifold and formalizes a Diophantine packin...

The Moving Lights: Solar–Lunar Height Variation, Angular Synchronization, Finite-Domain Eclipse Geometry, Calendar Closure, and the 273 K Structural Threshold

Nine independent astronomical observables are derived from torus knot topology on S³ with zero free parameters: the tropical year (0.0002%), four lunar months (worst 0.013%), both angular diameters (0.02% after medium dressing), the solar circuit angle (0.048%), and the lunar orb...

The Moving Lights: Solar–Lunar Height Variation, Angular Synchronization, Finite-Domain Eclipse Geometry, Calendar Closure, and the 273 K Structural Threshold

Nine independent astronomical observables are derived from torus knot topology on S³ with zero free parameters: the tropical year (0.0002%), four lunar months (worst 0.013%), both angular diameters (0.02% after medium dressing), the solar circuit angle (0.048%), and the lunar orb...

The Self-Consuming Objection: On the Structural Dissolution of Agrippa's Trilemma and the Closure of Standard Philosophical Challenges to Zero-Parameter Meta-Ontology

Agrippa's Trilemma has constrained epistemology for two thousand years: every justification terminates in regress, circularity, or dogma. We dissolve the trilemma by identifying its hidden assumption — that evaluation stands outside what it evaluates — and demonstrating that the...

The Self-Consuming Objection: On the Structural Dissolution of Agrippa's Trilemma and the Closure of Standard Philosophical Challenges to Zero-Parameter Meta-Ontology

Agrippa's Trilemma has constrained epistemology for two thousand years: every justification terminates in regress, circularity, or dogma. We dissolve the trilemma by identifying its hidden assumption — that evaluation stands outside what it evaluates — and demonstrating that the...

CAT'S THEORY PRESENTS: The Fortress Holds: A Systematic Defense of the Triadic Cosmological Framework Against Standard-Model Objections Across Six Physical Domains

This paper subjects the Triadic Cosmological Framework — a flat Clifford torus embedded in S³, immersed in a superfluid medium with a radially symmetric density gradient — to systematic adversarial testing across six physical domains: atmospheric optics, gravitational mechanics,...

CAT'S THEORY PRESENTS: The Fortress Holds: A Systematic Defense of the Triadic Cosmological Framework Against Standard-Model Objections Across Six Physical Domains

This paper subjects the Triadic Cosmological Framework — a flat Clifford torus embedded in S³, immersed in a superfluid medium with a radially symmetric density gradient — to systematic adversarial testing across six physical domains: atmospheric optics, gravitational mechanics,...

CAT'S THEORY PRESENTS: Shell, Wish, and Noise: A Third Axis for Modal Evaluation

We identify Shells — propositions that are formally valid and actually instantiated but arise at worlds where no narrowing of the accessibility relation has occurred — and prove by bisimulation that the narrowing condition is inexpressible in standard multi-modal logic. A triadic...

CAT'S THEORY PRESENTS: Shell, Wish, and Noise: A Third Axis for Modal Evaluation

We identify Shells — propositions that are formally valid and actually instantiated but arise at worlds where no narrowing of the accessibility relation has occurred — and prove by bisimulation that the narrowing condition is inexpressible in standard multi-modal logic. A triadic...