
TL;DR
This paper explores the limitations of constructing a universal coordinate system in quantum gravity, revealing a fundamental uncertainty related to the universe's size.
Contribution
It introduces a Gedanken experiment demonstrating a minimum uncertainty in universal coordinates based on quantum gravity principles.
Findings
Minimum coordinate uncertainty scales as the fifth root of the universe's radius
Constructs a physical coordinate system covering the entire universe
Highlights quantum gravity constraints on measurement precision
Abstract
We discuss a Gedanken experiment in which we construct a physical coordinate system which covers the universe. Using general properties of quantum gravity we find that the minimum uncertainty of the coordinate system is where is the radius of the universe
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Relativity and Gravitational Theory · Algebraic and Geometric Analysis
