The Schroedinger equation as the time evolution of a deterministic and reversible process

TL;DR

This paper derives the Schrödinger equation from the assumption that it models a deterministic, reversible process with well-defined observables at each moment, providing new insights into quantum dynamics.

Contribution

It introduces a novel derivation of the Schrödinger equation based on deterministic and reversible process assumptions, linking observables to quantum evolution.

Findings

Derived an explicit expression for well-defined observables

Applied the framework to spin precession

Analyzed free particle dynamics

Abstract

In this paper we derive the Schroedinger equation by assuming it describes the time evolution of a deterministic and reversible process that leaves at each moment in time a different observable well defined; that is, it allows an accurate prediction for it. We also derive an expression for the well defined observable and apply this expression to the cases of spin precession and a free particle.