Toward the unification of the postulates of Quantum Mechanics

TL;DR

This paper introduces a new dynamical postulate for Quantum Mechanics based on path integrals over wave functions, aiming to unify existing postulates and separate mathematical principles from physical interpretation.

Contribution

It proposes a novel postulate using path integrals, demonstrating its equivalence to Schrödinger's equation and measurement postulates, and separates fundamental principles from physical interpretation.

Findings

New postulate equivalent to Schrödinger's equation

Separation of mathematical postulates from physical interpretation

Framework does not rely on measurement devices or observers

Abstract

In this paper we are going to introduce a new dynamical postulate in Quantum Mechanics. This new principle is defined using path integrals over the set of normalized wave functions. We will show in a qualitative way that this postulate is equivalent to the Schrodinger equation and to the measurement postulates. Then we propose a new set of fundamental postulates for Quantum Mechanics. In this approach to Quantum Mechanics we separate the fundamental postulates and the physical interpretation. The fundamental postulates are abstract mathematical principles. Their physical interpretation depend on the physical system under study. These postulates do not use the concepts of measurement device and observer.