Paper 14: Restoring Local Realism: Bell Inequality Violations from Angular Coherence in the Holosphere Lattice

We present a realist, [10] Lorentz-compatible explanation of quantum entanglement correlations—specifically violations of Bell inequalities—based on angular phase coherence in a discrete Holosphere lattice. In this model, elementary particles such as electrons are composed of triplets of dark bosons orbiting a central vacancy defect, with one boson preserving long-range rotational phase continuity across the lattice. Entangled correlations arise not from nonlocal collapse or hidden variables, but from the projection of shared angular phase vectors onto local measurement axes. We derive the Bell correlation function E(θ) = −cos(θ) directly from lattice phase geometry, reproducing standard quantum predictions without abandoning locality or realism. This framework interprets entanglement as a metastable coherence condition transmitted through tension-stabilized angular channels in a rotating medium. The model further predicts testable deviations [11] from perfect sinusoidal correlation under conditions of lattice strain, curvature, or coherence loss—offering a falsifiable alternative to conventional quantum mechanics and new insight into the physical basis of measurement and non-classical correlations. This paper derives Bell inequality violations from angular phase coherence in a discrete Holosphere lattice. Unlike traditional quantum mechanics, which invokes nonlocal collapse or global wavefunctions, Holosphere Theory explains entanglement as geometric phase alignment between triplet structures in a rotating medium. The model reproduces standard quantum correlations and predicts testable deviations under angular strain—offering a falsifiable, realist interpretation of quantum mechanics grounded in lattice dynamics.