Diffeomorphism Invariance and Background Independence

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.

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Publication Details

Journal
ArXiv.org
Published
2025-09-30
Primary Topic
Tissue Engineering and Regenerative Medicine
Type
article
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article

Diffeomorphism Invariance and Background Independence

ArXiv.org
Tissue Engineering and Regenerative Medicine
article

Diffeomorphism Invariance and Background Independence

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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.

ArXiv.org
National University of Singapore (SG)
Reduced inequalities
Openalex Percentile: Top 33%
Tissue Engineering and Regenerative Medicine
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