Quantum Electrons as Memory-Bearing Fields: Exact Correlation via the Unified Wave Equation

Abstract The quantum measurement problem remains one of the most profound challenges in physics. Standard quantum mechanics lacks a dynamical mechanism for observation, treating wavefunction collapse as either postulated, stochastic, or external to the formalism. We introduce the MultiElectron Unified Wave Equation (MEUWE), a new quantum framework that derives collapse, the Born rule, and the arrow of time from first principles. MEUWE extends the multi-electron Schrödinger equation with nonlocal, fractional memory kernels that couple the system to observer fields, modeling collapse as an emergent, entropy-driven transfer of memory norm. This formulation yields a natural derivation of the Born rule from entropic maximization, predicts irreversible decoherence from fractional time dynamics, and recovers unitary evolution in the absence of observation. We show that MEUWE explains temporal asymmetry as a flow of coherence from system to observer, offering a physical origin for measurement irreversibility without postulates, hidden variables, or branching universes. Beyond interpretation, MEUWE is validated against full Configuration Interaction (CI) and Variational Monte Carlo (VMC) benchmarks, and embedded within quantum field theory, renormalization group flows, and curved spacetime. We conclude with experimental predictions—including curvature-dependent decoherence, fractional signal decay, and observer-field entanglement—that distinguish MEUWE from all existing quantum collapse models. Our results suggest that collapse is not an axiom of nature, but a dynamical consequence of memory.