Quantum Hypothesis of Realization Through Equal Action Paths

This work presents a modified quantum path hypothesis introducing the concept of “coherent action paths” — geometrically distinct trajectories that share identical or nearly identical classical action. Unlike Feynman's original formulation, which includes all mathematically possible paths, this model filters them using a Gaussian proximity to a reference action value. This adjustment preserves the core principles of quantum interference while reducing the contribution of noise-like or incoherent paths. As a result, simulations produce more physically realistic interference patterns, especially under geometric complexity or decoherence. The hypothesis was tested in simulations involving: double-slit, triple-slit, and arc/spiral geometries; phase-shifted configurations; partially decoherent sources. When compared to traditional Feynman path integrals and actual experimental data (Davisson–Germer, Tonomura’s single-electron interference), the filtered model showed: better match to empirical results; reduced computational load; faster convergence due to selective path evaluation; suppression of high-frequency noise artifacts. Why this may be useful: It improves accuracy in simulating real quantum experiments where ideal coherence doesn’t hold. It reduces the number of paths needed for meaningful results, potentially accelerating quantum simulations. It may serve as a more interpretable model for teaching or prototyping, where understanding the physical contribution of each path matters. It lays groundwork for approximated path filtering in emerging quantum computational architectures. This preprint includes full derivations, simulation results, comparative graphs, and references. The work is shared openly with code and documentation to invite further analysis and development. Keywords: quantum mechanics, path integral, coherent action, interference, simulation efficiency, decoherence, Feynman formalism, computational physics