On the measurements in Quantum Gravity

TL;DR

This paper suggests that in Quantum Gravity, measurement outcomes and accuracy are constrained by black hole entropy, leading to modifications in the algebra of observables and the uncertainty principle.

Contribution

It introduces a novel entropic approach to measurement in Quantum Gravity, proposing limits based on black hole entropy and altering fundamental commutation relations.

Findings

Measurement outcomes limited by black hole entropy

Modified algebra of observables for finite representations

Altered Heisenberg Uncertainty Principle in Quantum Gravity

Abstract

In this essay, we argue that certain aspects of the measurement require revision in Quantum Gravity. Using entropic arguments, we propose that the number of measurement outcomes and the accuracy (or the range) of the measurement are limited by the entropy of the black hole associated with the observer scale. This also implies the necessity of modifying the algebra of commutation relationships to ensure a finite representation of observables, changing the Heisenberg Uncertainty Principle in this manner.