# Quantum Trajectories in Entropic Dynamics

## TL;DR

This paper develops a framework called Entropic Dynamics that derives quantum mechanics from entropic inference, allowing a continuous transition between stochastic particle trajectories and smooth Bohmian paths, with applications to key quantum experiments.

## Contribution

It introduces a novel entropic inference framework for quantum mechanics that unifies stochastic and Bohmian trajectories, extending previous models with new physical insights.

## Key findings

- Trajectories interpolate between stochastic and Bohmian limits.
- Application to double slit and Stern-Gerlach experiments.
- Demonstrates the flexibility of ED in modeling quantum phenomena.

## Abstract

Entropic Dynamics is a framework for deriving the laws of physics from entropic inference. In an (ED) of particles, the central assumption is that particles have definite yet unknown positions. By appealing to certain symmetries, one can derive a quantum mechanics of scalar particles and particles with spin, in which the trajectories of the particles are given by a stochastic equation. This is much like Nelson's stochastic mechanics which also assumes a fluctuating particle as the basis of the microstates. The uniqueness of ED as an entropic inference of particles allows one to continuously transition between fluctuating particles and the smooth trajectories assumed in Bohmian mechanics. In this work we explore the consequences of the ED framework by studying the trajectories of particles in the continuum between stochastic and Bohmian limits in the context of a few physical examples, which include the double slit and Stern-Gerlach experiments.