Bell Nonlocality as Dual-Phase Synchronization in CPT-Siamese Universes: Theory and Observational Support

Abstract This repository contains the theoretical framework and reproduction materials for the study "Bell Nonlocality as Dual-Phase Synchronization in CPT-Siamese Universes". This work proposes a geometric resolution to the problem of quantum nonlocality by embedding entangled states within a CPT-symmetric dual-universe topology ("Siamese Universes").

Scientific Context Standard interpretations of Bell's theorem often require abandoning relativistic locality or counterfactual definiteness. We present a third alternative: Global Phase Locality. We posit that our universe (U+​) has a CPT-conjugate twin (U−​), and that entangled particles are single, indivisible objects spanning both spacetime sheets via a shared phase core (Ψglobal​).

Key Contributions

Geometric Resolution of Nonlocality: We demonstrate that the apparent violation of locality in 3D space is resolved by restoring locality in a higher-dimensional Global CPT Configuration Space. The global phase Δϕ acts as a "bridge" variable that is non-local in spatial separation but local in the phase manifold.

Analytic Derivation of CHSH Correlations: The paper provides a geometric derivation of the quantum correlation term E(a,b)=−cos(a−b) using phase projections over the dual manifold, reproducing quantum predictions without superluminal signaling.

Cosmological Origin of Entanglement: We propose that entanglement is not merely a quantum resource but a "fossil" of the birth of time—a persistent synchronization constraint surviving from the pre-temporal unity (Δϕ=0) before the cosmological bifurcation.

Observational Evidence: The Siamese Axis Crucially, this framework connects quantum foundations with astrophysical observations. The repository details empirical evidence from Fast Radio Bursts (FRBs), specifically:

A sinusoidal modulation of FRB Dispersion Measures (DM) compatible with a global dual-phase field.

Alignment of this modulation with a theoretical "Siamese Axis" at RA≈170∘,Dec≈40∘.

Statistical significance derived from independent Rotational Hemispheric Tests (p≈5×10−4) and FRB-QSO clustering (p<0.02).