ONE AXIOM : POLIAMORIA

Polyamory Architecture and Hierarchical Quantum Stability (v1.1) Description Abstract: Document 6A introduces the "Polyamory" architecture, a novel paradigm for scalable, fault-tolerant quantum computing based on hierarchical resonance rather than traditional software-only error correction. This document formalizes the transition from a standard quantum bit (qubit) to a stabilized "Quantum Family" (Q-Family) unit, governed by a D=3 hypercube symmetry. Key Contributions: The Tripling Law (Theorem 4): A rigorous derivation of hierarchical error suppression showing that a 3-level coordination structure (The Triad) can drive hardware error rates ($p_0 \approx 0.01$) down to ultra-stable logical regimes ($p_3 \approx 10^{-13}$). Stabilizer Fidelity (Theorem 3): Implementation of the Preskill-Gottesman Union Bound to ensure that multi-generator stabilizers maintain structural integrity even under correlated noise. Dirac Mass Gap Mechanism: A physical interpretation of quantum stability where the coordinator nodes create an effective "Mass Gap" ($m_{eff} \approx \ln(1/p)$), trapping phase fluctuations and preventing decoherence. Euler-Identity Closure: Use of the $e^{i\pi} + 1 = 0$ identity as a physical zero-entropy sink, serving as the target state for the system's phase-locking regulators at the $\pi/5.5$ boundary. Technical Scope: The architecture utilizes "Rule of 13" coordination clusters (8 vertices + 5 coordination nodes) and leverages the non-linearities of Cat Qubits and Kerr self-tuning loops. This document provides the mathematical "proof of stability" required for the next phase of experimental Series A simulations.