Expectation-Realization Interpretation of Quantum Superposition

TL;DR

This paper proposes an interpretation of quantum superposition as an expectation over eigenstates, eliminating the need for wavefunction collapse, many worlds, or decoherence, and reinterpreting Bell tests through wave-like probabilities.

Contribution

It introduces an expectation-realization interpretation of quantum superposition that unifies probability theory with wave mechanics, simplifying quantum conceptual frameworks.

Findings

Quantum superposition viewed as expectation over eigenstates.

Measurement converts quantum effects into macroscopic outcomes.

Bell's inequalities test wave-like probability, not non-locality.

Abstract

By comparing Schr\"odinger's cat with its classical counterpart, I show that a quantum superposition should be understood as an expectation over possible eigenstates weighted by wave-like probabilities. Upon the occurrence of a certain event, the quantum system is randomly realized into one of the possible eigenstates due to its intrinsic stochasticity. While the randomness of a single realization cannot be controlled or predicted, the overall distribution can be regulated via experimental setup and converges as the number of events increases. A measurement is indeed an activity employing a certain event to convert a quantum effect into a macroscopic outcome. Consequently, the puzzling concepts of wavefunction collapse, many worlds, and decoherence become unnecessary for understanding quantum superposition. This expectation-realization interpretation, which integrates probability theory with wave mechanics, can also be extended to quantum pathways. Moreover, it reframes tests of Bell's inequalities as validating the wave-like probability nature of quantum mechanics, with no need to invoke the mysterious notions of quantum non-locality and "spooky action at a distance".