# Critical look at the time-energy uncertainty relations

## TL;DR

This paper critically examines the Heisenberg and Mandelstam-Tamm time-energy uncertainty relations, arguing they lack the rigorous status of position-momentum uncertainty relations and are not universally valid within standard quantum mechanics.

## Contribution

It provides a detailed analysis showing that time-energy uncertainty relations are not equivalent to position-momentum relations and are not universally valid in quantum mechanics.

## Key findings

- Time-energy uncertainty relations are not as rigorous as position-momentum relations.
- These relations cannot be considered universally valid within Schrödinger and von Neumann quantum mechanics.
- The analysis challenges common interpretations of the time-energy uncertainty principle.

## Abstract

The Heisenberg and Mandelstam-Tamm time-energy uncertainty relations are analyzed. The conlusion resulting from this analysis is that within the Quantum Mechanics of Schr\"{o}dinger and von Neumann, the status of these relations can not be considered as the same as the status of the position-momentum uncertainty relations, which are rigorous. The conclusion is that the time--energy uncertainty relations can not be considered as universally valid.