Quantum phases in entropic dynamics

TL;DR

This paper advances Entropic Dynamics by identifying constraints that produce single-valued wave functions, linking quantum phases, gauge symmetry, and charge quantization to better align with quantum theory.

Contribution

It introduces new constraints in Entropic Dynamics that ensure wave functions are single-valued, bridging the gap with quantum theory.

Findings

Wave functions remain single-valued with new constraints

Quantum phases are related to gauge symmetry and charge quantization

Enhanced equivalence between Entropic Dynamics and quantum mechanics

Abstract

In the Entropic Dynamics framework the dynamics is driven by maximizing entropy subject to appropriate constraints. In this work we bring Entropic Dynamics one step closer to full equivalence with quantum theory by identifying constraints that lead to wave functions that remain single-valued even for multi-valued phases by recognizing the intimate relation between quantum phases, gauge symmetry, and charge quantization.