How Gravity Can Explain the Collapse of the Wavefunction

TL;DR

This work tackles the quantum measurement problem by proposing a local, gravity-driven collapse mechanism grounded in a unity between matter and geometry. It enforces a product-state constraint on the fundamental state space and uses a residual-action principle to select locally evolving paths that minimize nonlocal deviations, effectively yielding a Penrose-like phase that triggers collapse only under sufficiently large, dislocated mass configurations. Born’s rule emerges from a stochastic end-state selection with rates determined by the residual, yielding P_I = |α_I|^2 without free parameters. The theory is explicitly parameter-free and makes testable predictions in near-future mesoscopic experiments, offering a distinct contrast to Penrose–Diósi by tying collapse to the sum of gravitational potentials rather than the variance, and it outlines feasible experimental paths to probe gravity–matter entanglement and the nature of gravitational dressing.

Abstract

I present a simple argument for why a fundamental theory that unifies matter and gravity gives rise to what seems to be a collapse of the wavefunction. The resulting model is local, parameter-free and makes testable predictions.