A Signal Processing Model of Quantum Mechanics

TL;DR

This paper proposes a deterministic, signal processing-inspired model of quantum mechanics that explains wavefunctions, collapse, and paradoxes through an accumulation-and-threshold process in an extra dimension, offering new interpretations and testable predictions.

Contribution

It introduces a novel signal processing-based deterministic model of quantum mechanics that addresses wavefunction interpretation, collapse, and quantum paradoxes.

Findings

Simulated a 2-slit experiment within the model

Indicated potential deviations from standard quantum mechanics

Provided a framework for extending to quantum field theory

Abstract

This paper develops a deterministic model of quantum mechanics as an accumulation-and-threshold process. The model arises from an analogy with signal processing in wireless communications. Complex wavefunctions are interpreted as expressing the amplitude and phase information of a modulated carrier wave. Particle transmission events are modeled as the outcome of a process of signal accumulation that occurs in an extra (non-spacetime) dimension. Besides giving a natural interpretation of the wavefunction and the Born rule, the model accommodates the collapse of the wave packet and other quantum paradoxes such as EPR and the Ahanorov-Bohm effect. The model also gives a new perspective on the 'relational' nature of quantum mechanics: that is, whether the wave function of a physical system is "real" or simply reflects the observer's partial knowledge of the system. We simulate the model for a 2-slit experiment, and indicate possible deviations of the model's predictions from conventional quantum mechanics. We also indicate how the theory may be extended to a field theory.