{
  "id": "oai:papers.qnfo.org:torsion-as-a-candidate-geometric-generator-of-quantum-phase-and-statistics-a-for",
  "slug": "torsion-as-a-candidate-geometric-generator-of-quantum-phase-and-statistics-a-for",
  "title": "Torsion as a Candidate Geometric Generator of Quantum Phase and Statistics: A Formalization and Falsifiability Analysis",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Quantum mechanics rests on postulates—the complex phase of the wavefunction, the quadratic scaling of state-space dimension, and the boson/fermion restriction on exchange symmetry—that are empirically successful but deductively unexplained. A conjecture in current circulation holds that spacetime torsion in Einstein–Cartan gravity generates all three: the axial torsion vector supplies the wavefunction's phase gradient, and the topology of torsional exchange paths permits only ± 1 exchange phases. This paper formalizes the claimed deductive chain link by link. We show that the exchange-phase restriction e^iφ=± 1 follows from the double-swap identity alone, that the normalized state space of an N-level system carries K=N²-1 real parameters ($3$, $8$, and $15$ for N=2,3,4), and that the integral of the Lorentz factor over physical velocities evaluates to π/2≈ 1.5707963. We write the Madelung form of a torsion-coupled probability current and show that the identification of the axial torsion vector with the phase gradient is dimensionally consistent but unproven. As a labeled projection built on the gate fidelities of the Tianyan platform [4], a simple gate-count model yields a total error probability of 99.66\\% for a 74-qubit, 24-cycle random-circuit sampling experiment; this figure characterizes the hardware error budget and is not a torsion-specific prediction. The chain is partially derivable: statistics and state-space dimension reduce to topology and counting, while the torsion-phase identification is the load-bearing unproven link. We specify the calculation that would confirm or break it.",
  "abstract_markdown": "Quantum mechanics rests on postulates—the complex phase of the wavefunction, the quadratic scaling of state-space dimension, and the boson/fermion restriction on exchange symmetry—that are empirically successful but deductively unexplained. A conjecture in current circulation holds that spacetime torsion in Einstein–Cartan gravity generates all three: the axial torsion vector supplies the wavefunction's phase gradient, and the topology of torsional exchange paths permits only $\\pm 1$ exchange phases. This paper formalizes the claimed deductive chain link by link. We show that the exchange-phase restriction $e^{i\\varphi}=\\pm 1$ follows from the double-swap identity alone, that the normalized state space of an $N$-level system carries $K=N^{2}-1$ real parameters ($3$, $8$, and $15$ for $N=2,3,4$), and that the integral of the Lorentz factor over physical velocities evaluates to $\\pi/2\\approx 1.5707963$. We write the Madelung form of a torsion-coupled probability current and show that the identification of the axial torsion vector with the phase gradient is dimensionally consistent but unproven. As a labeled projection built on the gate fidelities of the Tianyan platform [4], a simple gate-count model yields a total error probability of $99.66\\%$ for a 74-qubit, 24-cycle random-circuit sampling experiment; this figure characterizes the hardware error budget and is not a torsion-specific prediction. The chain is partially derivable: statistics and state-space dimension reduce to topology and counting, while the torsion-phase identification is the load-bearing unproven link. We specify the calculation that would confirm or break it.",
  "date": "2026-10-15",
  "first_published": "2026-10-15",
  "last_revised": "2026-10-15T00:00:00Z",
  "modified": "2026-10-15T00:00:00Z",
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  "url": "https://papers.qnfo.org/papers/torsion-as-a-candidate-geometric-generator-of-quantum-phase-and-statistics-a-for",
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
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        "title": "Torsion as a Candidate Geometric Generator of Quantum Phase and Statistics: A Formalization and Falsifiability Analysis"
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        "description": "Quantum mechanics rests on postulates—the complex phase of the wavefunction, the quadratic scaling of state-space dimension, and the boson/fermion restriction on exchange symmetry—that are empirically successful but deductively unexplained. A conjecture in current circulation holds that spacetime torsion in Einstein–Cartan gravity generates all three: the axial torsion vector supplies the wavefunction's phase gradient, and the topology of torsional exchange paths permits only ± 1 exchange phases. This paper formalizes the claimed deductive chain link by link. We show that the exchange-phase restriction e^iφ=± 1 follows from the double-swap identity alone, that the normalized state space of an N-level system carries K=N²-1 real parameters ($3$, $8$, and $15$ for N=2,3,4), and that the integral of the Lorentz factor over physical velocities evaluates to π/2≈ 1.5707963. We write the Madelung form of a torsion-coupled probability current and show that the identification of the axial torsion vector with the phase gradient is dimensionally consistent but unproven. As a labeled projection built on the gate fidelities of the Tianyan platform [4], a simple gate-count model yields a total error probability of 99.66\\% for a 74-qubit, 24-cycle random-circuit sampling experiment; this figure characterizes the hardware error budget and is not a torsion-specific prediction. The chain is partially derivable: statistics and state-space dimension reduce to topology and counting, while the torsion-phase identification is the load-bearing unproven link. We specify the calculation that would confirm or break it.",
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