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-neutral
mathematical equation defining functional consciousness as a computable
function 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