An Accumulative Model for Quantum Theories

摘要

For a general quantum theory that is describable by a path integral formalism,we construct a mathematical model of an accumulation-to-threshold process whose outcomesgive predictions that are nearly identical to the given quantum theory. The model is neitherlocal nor causal in spacetime, but is both local and causal is in a non-observable path space.The probabilistic nature of the squared wavefunction is a natural consequence of the model.We verify the model with simulations, and we discuss possible discrepancies from conventionalquantum theory that might be detectable via experiment. Finally, we discuss the physicalimplications of the model.