One-Dimensional Anyons as FCLT Necessity Attractors: The φ-Structured Exchange Phase Prediction for Tunable 1D Anyonic Systems
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2026
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| _version_ | 1866901795073163264 |
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| author | Davis, Abby |
| author_facet | Davis, Abby |
| contents | <p>Fibonacci Causal Loop Theory (FCLT) predicts that any system governed by exactly two organizational constraints will exhibit φ-structured attractors. This paper applies FCLT to one-dimensional anyons — a third category of quantum particle, neither boson nor fermion, with continuously tunable exchange statistics — motivated by two joint papers from the Okinawa Institute of Science and Technology (OIST) and the University of Oklahoma (Physical Review A, February 2026). In 1D, the anyon exchange phase θ ∈ [0, π] is constrained by exactly two boundary conditions: the Bose limit (θ = 0) and the Fermi limit (θ = π). FCLT predicts the stable attractor of this interval is θ* = π/φ ≈ 1.942 radians, equivalently θ*/π = 1/φ ≈ 0.618. This prediction is pre-registered prior to experimental confirmation. Confirmation criterion: δ = |θ_obs/π − 1/φ| / (1/φ) < 0.05. The OIST experimental platform (ultracold atoms in optical lattices with density-dependent Peierls phases) provides the direct experimental pathway. Classification: technology-gap. FCLT scorecard unchanged: 19 confirmed / 5 falsified / 21 tech-gap / 4 gray zone.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20149186 |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | One-Dimensional Anyons as FCLT Necessity Attractors: The φ-Structured Exchange Phase Prediction for Tunable 1D Anyonic Systems Davis, Abby (4-(m-Chlorophenylcarbamoyloxy)-2-butynyl)trimethylammonium Chloride Fibonacci Causal Loop Theory FCLT anyons one-dimensional quantum statistics exchange phase golden ratio phi necessity recursion ultracold atoms tunable statistics boson fermion OIST Physical Review A Protocol V3.1 pre-registration independent research <p>Fibonacci Causal Loop Theory (FCLT) predicts that any system governed by exactly two organizational constraints will exhibit φ-structured attractors. This paper applies FCLT to one-dimensional anyons — a third category of quantum particle, neither boson nor fermion, with continuously tunable exchange statistics — motivated by two joint papers from the Okinawa Institute of Science and Technology (OIST) and the University of Oklahoma (Physical Review A, February 2026). In 1D, the anyon exchange phase θ ∈ [0, π] is constrained by exactly two boundary conditions: the Bose limit (θ = 0) and the Fermi limit (θ = π). FCLT predicts the stable attractor of this interval is θ* = π/φ ≈ 1.942 radians, equivalently θ*/π = 1/φ ≈ 0.618. This prediction is pre-registered prior to experimental confirmation. Confirmation criterion: δ = |θ_obs/π − 1/φ| / (1/φ) < 0.05. The OIST experimental platform (ultracold atoms in optical lattices with density-dependent Peierls phases) provides the direct experimental pathway. Classification: technology-gap. FCLT scorecard unchanged: 19 confirmed / 5 falsified / 21 tech-gap / 4 gray zone.</p> |
| title | One-Dimensional Anyons as FCLT Necessity Attractors: The φ-Structured Exchange Phase Prediction for Tunable 1D Anyonic Systems |
| topic | (4-(m-Chlorophenylcarbamoyloxy)-2-butynyl)trimethylammonium Chloride Fibonacci Causal Loop Theory FCLT anyons one-dimensional quantum statistics exchange phase golden ratio phi necessity recursion ultracold atoms tunable statistics boson fermion OIST Physical Review A Protocol V3.1 pre-registration independent research |
| url | https://doi.org/10.5281/zenodo.20149186 |