ONE AXIOM : POLIAMORIA

Abstract

POLIAMORIA v3.0 — Demon-Stabilized Q-Family Hardware & Majorana Integration Subtitle: Topological Realization, GoldInsiga Hybridization, and the $G = S_4 \times \mathbb{Z}_2^3$ Architecture Overview: The v3.0 release is the definitive 147-page specification for the Q-Family architecture, marking its evolution from a bosonic "cat qubit" framework into a unified Topological-Resonant hybrid. This document formalizes the integration of Majorana Zero Modes (MZM) with the Pines' Demon stabilization mechanism, establishing a hardware environment where quantum information is protected by both symmetry-guaranteed Goldstone modes and topological non-locality. Key Scientific and Engineering Assets: The GoldInsiga Synthesis: Introduction of the GoldInsiga hardware concept—a dual-layer defense mechanism. It synchronizes "Gold" (Goldstone-mode coherence via Pines’ Demon) for inter-family stability with "Insiga" (Ising anyon $\sigma$ with quantum dimension $d_\sigma = \sqrt{2}$ / Majorana protection) for intra-qubit topological resilience. Seventeen Formal Theorems: The architecture is supported by 17 rigorous proofs, including Theorems 1–14 (hardware stability) and the newly integrated Theorems M1, M2, and M3 (§20). These prove the isomorphism between $D=3$ hypercube rotations and the braiding representations of Majorana modes. Twenty-Six Falsifiable Predictions (P1–P26): The framework defines 26 specific, testable hypotheses with numerical kill thresholds. Notable entries include P25 (Forbidden Braiding: the prohibition of $S_5$ paths through the forbidden State 21) and P26 (Algebraic Blockage Fingerprint: the finite-energy peak in T-Junction geometries). Structural Magic State Classification: A formal classification of non-Clifford resources (States {29, 30, 51}) derived from the coherence gradient $\nabla\heartsuit = 1/2$ at the boundary of the FORBIDDEN set ($M_4$). Resonant Instrument Paradigm: A fundamental shift in computation theory, redefining the hardware not as a "calculator" but as a resonant instrument. It utilizes the Euler-Identity Closure ($e^{i\pi} + 1 = 0$) as a physical boundary condition to force the register toward a state of zero entropy and intrinsic error annihilation. Integrated Majorana Protocol: Detailed blueprints for the empirical synthesis of topological qubits on strontium ruthenate ($Sr_2RuO_4$) substrates, bridging the gap between theoretical many-body physics and scalable hardware fabrication. Architecture Role: As the Master Hardware Specification for the ONE AXIOM stack, v3.0 establishes the physical-layer requirements for the Q-Family ISA (Document 6B). It ensures a stable, phase-coherent environment where error protection is an intrinsic property of the material and its underlying symmetries, rather than a mere software overhead.

Topics & Concepts