Diffeomorphism Invariance and Background Independence
Abstract
This paper answers examines the relationship between Diffeomorphism Invariance and Background Independence. First, a review of the relationship between Background Independence, General Relativity (GR) and pre-GR theories are given. Then, a wide range of other conceptions of background independence is discussed. It is shown that the definition of Background Independence is fluid and can mean different things to different philosophers and/or physicists. Most pertinently, the paper addresses the question of what kind of background independence is implied by a mathematical criterion of diffeomorphism invariance or in what sense is diffeomorphism invariance background independence. Lastly, the concept of haecceity in relation to diffeomorphism invariance is discussed.
Keywords
Cite
@article{arxiv.2509.26450,
title = {Diffeomorphism Invariance and Background Independence},
author = {Kurniawan Tjandra and Kuldip Singh},
journal= {arXiv preprint arXiv:2509.26450},
year = {2025}
}