Temporal-Path Accessibility as a Hypothesis for Quantum Behavior and Tunneling

This preprint introduces the Temporal Path Accessibility Hypothesis, a speculative but falsifiable proposal in quantum foundations. The central idea is that quantum behavior may depend not only on a particle’s present measurable state, but also on the range of spacetime histories that remain physically accessible to it.

The manuscript applies this idea to wave particle duality, measurement, and quantum tunneling. It proposes that measurement or environmental interaction may restrict a particle into a definite spacetime relationship with the measuring system, while unmeasured quantum behavior may reflect access to multiple compatible spacetime path states.

A specific experimental contrast is proposed: particles created inside a confined barrier are compared with particles loaded into the same barrier from outside, while attempting to prepare both groups into identical measurable quantum states. Standard quantum mechanics predicts identical tunneling probabilities if the quantum state, Hamiltonian, boundary conditions, and measurement protocol are the same. Temporal Path Accessibility predicts that tunneling may differ if accessible spacetime histories are physically relevant.

The goal of this manuscript is not to replace quantum mechanics, but to frame a philosophical intuition about time, space, and quantum behavior as a narrow experimental question.