Limits on the Measurability of Space-time Distances in (the Semi-classical Approximation of) Quantum Gravity

TL;DR

This paper derives limitations on measuring space-time distances considering quantum mechanics and general relativity, offering insights into potential features of quantum gravity.

Contribution

It introduces an equation capturing measurement limits in quantum gravity, linking quantum and relativistic effects to inform quantum gravity theories.

Findings

Derived an equation for measurement limitations in quantum gravity

Suggested features of quantum gravity based on the equation

Discussed implications for space-time measurability

Abstract

By taking into account both quantum mechanical and general relativistic effects, I derive an equation that describes some limitations on the measurability of space-time distances. I then discuss possible features of quantum gravity which are suggested by this equation.