Topological Quantum Entanglement and Torsion-Spin Coupling in a Static Conoidal Riemann-Cartan Universe: Theoretical Formalism and Empirical Bounds from Bell Tests

We examine the manifestation of quantum entanglement within the static conoidal Riemann-Cartan (U4) geometry and the Field Dynamics Conjecture (Seashell-Universe model). Ratherthan requiring superluminal signaling across a causally disconnected three-dimensional space,bipartite correlations are formulated as topological connections mediated by the backgroundhelical torsion tensor SzRθ = kR, representing the four-dimensional projection of closed Reeborbits on a five-dimensional contact U(1)-bundle M5. By extending the bipartite Hehl-Datta spinor equation for fermionic systems and the non-minimal torsion-photon couplingfor massless gauge fields along helical geodesics, we show that opposite-helicity states accumulatesymmetric contortion phases that cancel exactly (ΔΦtorsion = 0), preserving globalphase coherence without violating local causality. In the contemporary asymptotic plateau(Rf ≫ R0, where R0 ≈ 1.498 × 10−4 m is fixed by far-infrared galactic wind cutoffs), exponentialdamping recovers Local Lorentz Invariance (LLI) and the standard Tsirelson quantumbound (SCHSH = 2√2), while allowing a residual, baseline-dependent anisotropic modulationcoupled to the ecliptic obliquity (β = 23.44◦). We test this framework against two openaccessempirical datasets: (i) a time-series analysis of 45 contiguous 200-pair bins (9,000binned events extracted from 10,174 valid singlet pairs) from the LMU Munich loophole-freeBell test (ΔL = 398 m), which shows consistency with local quantum noise (χ2red = 1.088) and sets a 95% confidence level (CL) upper limit on the local modulation amplitude of|Atorsion| < 0.746; and (ii) a multi-scale cross-comparison spanning from 12 m laboratorysetups up to the 1, 200 km Micius satellite-to-ground link. Anchoring the theoretical upperboundenvelope to the Tsirelson limit yields a conservative empirical bound on the effectivebipartite entanglement torsion-coupling parameter of ζent < 0.189 m−1 (95% CL), maintainingconsistency with cosmological birefringence limits.