On Quantum Entanglement and Nonlocality (2506.00366v1)

Abstract: Bell inequalities on local hidden variables were used to test particle entanglement given by the quantum mechanics wavefunction. The experiments on correlated photon pairs showed a clear violation of Bell inequalities and agreement with quantum mechanics. This study revealed that the Bell inequalities on normalized density function is true only for photon polarization at individual instances but it does not hold over the entire population in a given system. The Bell inequalities is not an incompatibility criterion for local hidden variables vs quantum mechanics rather it is a criterion for an individual nature vs population dynamics. The study found that the local variables (photon polarization) described each quantity in Bell test and a complete agreement with the experiments where quantum mechanics was incapable to provide as it is a unified system. The paper concludes with great satisfaction that the simultaneous measurement of two correlated photons at a distance was a local cause (photon-filter interaction did not violate the special theory of relativity) and the nonlocality description given by the wavefunction was not physical.