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April 10, 20268 citationsOpen Access

One Axiom : Poliamoria

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RSRobert Spychalski

Key Points

  • To formalize and specify the improvements in the Q-Family architecture through the integration of Majorana Zero Modes.
  • Introduced the GoldInsiga hardware concept for enhanced stability.
  • Presented 17 formal theorems supporting the architecture's stability.
  • Defined 26 testable predictions regarding topological qubit behavior.
  • Developed blueprints for empirical synthesis on specific substrates.
  • Achieved a unified Topological-Resonant hybrid framework for qubits.
  • Established the isomorphism between hypercube rotations and Majorana modes.
  • Classified non-Clifford resources aiding in the coherence gradient.
  • Shifted computation theory towards a resonant instrument model.

Abstract

POLIAMORIA v3. 0 — Demon-Stabilized Q-Family Hardware & Majorana Integration Subtitle: Topological Realization, GoldInsiga Hybridization, and the G = S₄ Z₂³ 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 with quantum dimension d_ = 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 S₅ 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 = 1/2 at the boundary of the FORBIDDEN set (M₄). 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 + 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 (Sr₂RuO₄) 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.

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Cite This Study

Robert Spychalski (2026) studied this question.

synapsesocial.com/papers/69d895796c1944d70ce0682fhttps://doi.org/10.5281/zenodo.19474425
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