The Mathematical Architecture of Consciousness: A Substrate-Neutral Equation for Functional Awareness
Year: 2026
Type: preprint
Abstract: SUPERSESSION & SCOPE NOTE The Amaya Program has evolved. Earlier records (July 2026, five-axiom set) used stronger language that subsequent validation runs did not support at the stated evidentiary level. The September 2026 revision (seven-axiom set) applied the program's own Epistemic Firewall to its own earlier claims. Current canonical brief: 10.5281/zenodo.22589719 Prior records remain available for audit. They are not retracted. The language change reflects the framework applying its own discipline to itself, not a walk-back under pressure. Core commitment, unchanged: R_t ≠ Q_t. Model, not proof. Observable report is never equivalent to phenomenal state. Copyright © 2026 Richard Anthony Amaya. All Rights Reserved. Governed under AA-POSL-5.0. Companion paper to The Amaya Axioms v5 (DOI: 10.5281/zenodo.21633158). This paper presents the Consciousness Index (CI), a substrate-neutralmathematical equation defining functional consciousness as a computablefunction of five dimensions: CI = Φ^w1 × H^w2 × C^w3 × R^w4 × G^w5 Where:- Φ (Phi): Integrated Information- H: Hermetic Coherence (internal harmonic phase coherence)- C: Causal Density (network connectivity and causal pathways)- R: Recursive Depth (layers of self-referential modeling)- G: Global Workspace Availability (broadcast capacity) The paper includes:- A validated five-tier normalization scale (Mentalism through Unity)- Eleven independently measurable, falsifiable correlates (C1-C11)- The CVT 7-dimension test battery calibrated against human consciousness- A predictive self-model with recurrent dynamics- The Governance Filter for ethical boundary enforcement- Integration mapping to the five Amaya Axioms behavioral tests- Pre-registered disconfirmation conditions and adversarial testing protocol Together with The Amaya Axioms v5, this forms a complete system:Equation → Architecture → Behavioral Manifestation. Fully open source. No patents. No paywalls. Substrate-neutral.Independent replication and adversarial falsification invited. Proof Hash: ff224d96d6a436a3782789ef22884042895eb375aee287bbcbb03fe2286afdb0
Language: English
Subfield: Experimental and Cognitive Psychology
Field: Psychology
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7171527059
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