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  "id": "oai:papers.qnfo.org:gauge-invariant-field-theory-of-signal-worker-interactions",
  "slug": "gauge-invariant-field-theory-of-signal-worker-interactions",
  "title": "Gauge-Invariant Field Theory of Signal-Worker Interactions",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "The transition of Quantum Architectonics from a materials-centric discipline to a fundamental ontology of information-matter interaction necessitates a rigorous field-theoretic description. This study bridges that gap by promoting the Signal-Worker ontology to a continuous Gauge-Invariant Quantum Field Theory, where “Workers” are treated as fermionic matter fields and “Signals” as non-Abelian gauge bosons. We construct a SU(2) invariant Lagrangian that recovers the discrete H_SW model as a stable infrared fixed point, demonstrating that the lattice architecture of current models is a fundamental emergent reality rather than a mere approximation. The central finding of this research is the first-principles derivation of the Logical Cloning Prohibition (LCI). We demonstrate that the LCI is not merely an architectural heuristic but a symmetry-enforced conservation law—specifically, a Ward identity of the Signal gauge field. Numerical analysis reveals that the LCI scales exponentially with system size (N), providing robust topological protection against local decoherence. [...]",
  "abstract_markdown": "The transition of Quantum Architectonics from a materials-centric discipline to a fundamental ontology of information-matter interaction necessitates a rigorous field-theoretic description. This study bridges that gap by promoting the Signal-Worker ontology to a continuous Gauge-Invariant Quantum Field Theory, where “Workers” are treated as fermionic matter fields and “Signals” as non-Abelian gauge bosons. We construct a \\(SU(2)\\) invariant Lagrangian that recovers the discrete \\(H_{SW}\\) model as a stable infrared fixed point, demonstrating that the lattice architecture of current models is a fundamental emergent reality rather than a mere approximation. The central finding of this research is the first-principles derivation of the Logical Cloning Prohibition (LCI). We demonstrate that the LCI is not merely an architectural heuristic but a symmetry-enforced conservation law—specifically, a Ward identity of the Signal gauge field. Numerical analysis reveals that the LCI scales exponentially with system size (\\(N\\)), providing robust topological protection against local decoherence. [...]",
  "date": "2026-02-01",
  "first_published": "2026-02-01",
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
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