A revision for Heisenberg uncertainty relation based on environment variable in the QCPB theory

TL;DR

This paper introduces a quantum geomertainty relation based on environment variables within the QCPB theory, aiming to provide a more complete and certain description of measurement outcomes by accounting for environmental effects.

Contribution

It proposes a novel quantum geomertainty relation that incorporates environment variables, extending the traditional uncertainty principle with a more comprehensive framework.

Findings

Entanglement exists between observable and environment.

Environment influences measurement outcomes.

The new relation explains measurement certainty improvements.

Abstract

The Heisenberg uncertainty principle and its extensions are all still inequalities form which hold the superior approximate estimations. Based on quantum covariant Poisson bracket theory, we propose quantum geomertainty relation to modify and explain the uncertainty relation to positively give a complete description of reality that enhances the outcome of each measurement with certainty. It demonstrates that entanglement term exists between the observable and the environment and nicely explains how the environment has an effect on the measurement which causes the unavoidable influences.