Universal Uncertainty Principle in Different Quantum Theories

TL;DR

This paper introduces a universal uncertainty principle applicable across various quantum theories, addressing limitations in current models by providing exact uncertainty measures and their applications in quantum physics and related fields.

Contribution

It proposes a new universal uncertainty principle valid for all orders of physical quantities, overcoming previous limitations and aligning with experimental results.

Findings

Consistent with hydrogen atom experiments

Provides exact uncertainty expressions for quantum systems

Enables broader applications in quantum technologies

Abstract

This paper deduces universal uncertainty principle in different quantum theories after about one century of proposing uncertainty principle by Heisenberg, i.e., new universal uncertainty principle of any orders of physical quantities in quantum physics, overcomes the difficulty that current quantum computer, quantum communication, quantum control, quantum mechanics and so on theories cannot give exact values of general uncertainty of any orders of physical quantities, further gives all relevant different expressions of the universal uncertainty principle and their applications. In fact, our studies are consistent with current theories and physical factual experiments, e.g., relevant to hydrogen atom physics experiments. Using the new universal uncertainty principle, people can give all applications to atomic physics, quantum mechanics, quantum communication, quantum calculations, quantum computer and so on.