Quantum interference interpreted classically through application of Berry's phase

TL;DR

This paper presents a classical interpretation of quantum interference using Berry's phase, viewing closed loops in time as fundamental entities, which offers insights into quantum probabilities and decoherence.

Contribution

It introduces a novel classical framework for understanding quantum interference through Berry's phase and the concept of time loops, linking quantum phenomena to classical invariants.

Findings

Quantum interference can be interpreted classically via Berry's phase.

Closed time loops are fundamental quantum entities in this framework.

Decoherence naturally emerges from the formalism.

Abstract

We show that quantum interference can be classically interpreted in terms of a phase invariant quantity, not unlike the Berry's phase. Under this interpretation, closed loops in time become fundamental quantum entities, and all quantum states become periodic. Decoherence is then seen to occur naturally as a consequence. This formalism, although counterintuitive, provides a useful way of assigning ``classical'' meaning to quantum probabilities.