preprintOpen MINDFeb 22, 2026GREEN OA

HopfionSeries Paper VIII - Geometry-Dependent Bell Violations From The Density-Feedback Hopfion

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Abstract

We extend the density-feedback Faddeev–Niemi Hopfion framework of Papers I–VII to quantum Bell correlations. The suppression law S(θ) = sin4θ/φ6, derived from the Hopf map Jacobian in Paper I, together with measurement-induced density feedback 1/(1 + β(ρ + δρ)), generates a local deterministic model that reproduces quantum Bell correlations. The model avoids Bell’s theorem because the hidden variable is not a classical probability distribution over independent local properties but a single shared geometric flux line, a deterministic field structure whose angular correlations emerge from the suppression law. In planar laboratory geometries, the configuration of every existing loophole-free Bell test, the model…

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Topics & keywords

Keywords
  • Quantum
  • Isotropy
  • Planar
  • Anisotropy
  • Quantum correlation
  • Monte Carlo method
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