Irrational Dynamical Variables and the Measurement Problem in Quantum Mechanics

TL;DR

This paper introduces irrational dynamical variables to address the quantum measurement problem, proposing new definitions and mathematical methods to calculate measurement outcomes, and analyzing the foundational postulates of quantum mechanics.

Contribution

It proposes the concept of irrational dynamical variables and modifies quantum postulates to better understand measurement processes.

Findings

A new mathematical method for calculating measurement probabilities

Modified quantum postulates incorporating irrational variables

Thought experiments illustrating implications of the new approach

Abstract

The quantum mechanical measurement process is considered. A hypothetical concept of irrational dynamical variables is proposed. A possible definition of measurement is discussed along with a mathematical method to calculate experimental result probabilities. The postulates of quantum mechanics are analyzed and modified. Thought experiments and implications are considered.