A Rigorous Local Hidden Variable Model Based on the Universal Constant Formula of Quanta and the Vesica Piscis Quantum Wavefunction (VPQW)/Dark Matter Quantum Perimeter Function (DMQPF)

We present a detailed derivation that uses the Universal Constant Formula of Quanta (UQF) to construct a local hidden variable (LHV) model based on the VPQW/DMQPF framework. Under a set of well–stated assumptions, we demonstrate that local measurement functions can be defined so that the resulting correlation function reproduces the quantum mechanical prediction for a singlet state, E(a,b) = −cos(b−a). We incorporate geometric foundations, oscillatory-damping behavior, and mass-dependent corrections into the framework, and then show that the hidden variable integration yields the desired correlation.