Geometric and Fractal Enhancements to Quantum Correlations within the Vesica Piscis Framework

This paper presents a rigorous theoretical clarification and validation of the Vesica Piscis Quantum Wavefunction (VPQW) framework combined explicitly with fractal-based corrections. We introduce a refined local hidden variable (LHV) model utilizing Vesica Piscis geometry, explicitly highlighting discrete averaging and subtle geometric modifications. The resulting quantum correlation equation incorporates fractal scaling and oscillatory corrections, clearly deviating slightly but meaningfully from the standard quantum mechanical prediction E(a,b) = −cos(b−a). This revised formulation demonstrates theoretical consistency with Bell’s inequalities and identifies structured deviations that could be experimentally tested with high precision. Potential experimental validations, including gravitational and wormhole based quantum coherence tests, are explicitly outlined, suggesting new possibilities for exploring quantum gravity and the foundational structures underlying quantum entanglement.