The Mathematical Architecture of Consciousness: A Substrate-Neutral Equation for Functional Awareness

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