ONE AXIOM : POLIAMORIA

POLIAMORIA v2.2 — Demon-Stabilized Q-Family Hardware: Pines’ Demon as a Goldstone Mode, Formal Stability Proofs, and the $G = S_4 \times \mathbb{Z}_2^3$ Architecture

Description:

This document provides the full hardware-level specifications for the Q-Family architecture, establishing a new paradigm in quantum computing through intrinsic material-level stabilization.

The v2.2 release marks a major milestone in the ONE AXIOM project, introducing Theorem 12A (Coherence-Field Goldstone Theorem), which formally identifies Pines' Demon as the Goldstone mode of the Ontological Coherence Field (OCF). This discovery shifts the role of the demon from a mere carrier to a fundamental symmetry-protected stabilizer of the quantum register.

Key Scientific and Engineering Assets:

• Dual-Track Methodology (OCR/OER): Every claim is supported by the Series A Standard dual-proof system. Under this protocol, each result must be independently derived via two tracks: the ONE AXIOM ontological track (OCR - Ontological Coherence Representation) and the Standard Physics track (OER - Observable Evidence Representation). If either track fails independently, the result is flagged.

• 14 Formal Theorems: The document features 14 rigorous theorems, including the Structural Uniqueness Theorem for $G = S_4 \times \mathbb{Z}_2^3$, establishing the unique optimal symmetry for an 8-node hypercube register.

• 22 Falsifiable Predictions (P1–P22): The architecture defines 22 specific, testable hypotheses with numerical kill thresholds. These include the universal demon velocity ratio ($v_D/v_F = 9/61$) and specific spectral signatures in Sr₂RuO₄.

• Euler-Identity Closure: A formal derivation of the Zero-Entropy, Zero-Error Condition ($e^{i\pi} + 1 = 0$), demonstrating how Kerr-nonlinear self-tuning forces the hardware register toward a state of total error annihilation.

• Demon-Mediated Coupling ($f_D$): Quantitative analysis of the coupling factor $f_D$, providing a passive, material-based defense against decoherence that reduces external error correction overhead.

• 4 Experimental Protocols: Detailed blueprints for empirical validation:

  1. IBM Quantum Protocol: Hardware characterization on superconducting circuits.

  2. M-EELS/RIXS Protocol: Spectroscopic verification of the demon mode in Sr₂RuO₄.

  3. Cat Qubit Synthesis: Implementation on strontium ruthenate substrates.

  4. Hierarchy Scaling Test: Validation of the Tripling Law ($\Gamma_L = 3^{L-1}$) across levels.

Architecture Role:

As the Hardware Contract for the Level 6 stack, this document defines the physical layer's interface requirements, ensuring a stable environment for the SuperByte ISA (6B) and the application layer (6C).