Background independence, diffeomorphism invariance, and the meaning of coordinates

<p>Diffeomorphism invariance is sometimes taken to be a criterion of background independence. This claim is commonly accompanied by a second, that the genuine physical magnitudes (the “observables”) of a background-independent theories and those of background-dependent (non-diffeomorphism-inva...

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主要作者: Pooley, O
其他作者: Lehmkuhl, D
格式: Book section
语言:English
出版: Birkhäuser 2013
主题:
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author Pooley, O
author2 Lehmkuhl, D
author_facet Lehmkuhl, D
Pooley, O
author_sort Pooley, O
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description <p>Diffeomorphism invariance is sometimes taken to be a criterion of background independence. This claim is commonly accompanied by a second, that the genuine physical magnitudes (the “observables”) of a background-independent theories and those of background-dependent (non-diffeomorphism-invariant) theories are essentially different in nature. I argue against both claims. Background-dependent theories can be formulated in a diffeomorphism-invariant manner. This suggests that the nature of the physical magnitudes of relevantly analogous theories (one background free, the other background dependent) is essentially the same. The temptation to think otherwise stems from a misunderstanding of the meaning of spacetime coordinates in background-dependent theories.</p>
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spelling oxford-uuid:b16b3f7e-6651-4e5d-80dd-489d8d3499a12022-03-27T04:03:58ZBackground independence, diffeomorphism invariance, and the meaning of coordinatesBook sectionhttp://purl.org/coar/resource_type/c_3248uuid:b16b3f7e-6651-4e5d-80dd-489d8d3499a1PhilosophyEnglishFaculty of PhilosophyBirkhäuser2013Pooley, OLehmkuhl, D<p>Diffeomorphism invariance is sometimes taken to be a criterion of background independence. This claim is commonly accompanied by a second, that the genuine physical magnitudes (the “observables”) of a background-independent theories and those of background-dependent (non-diffeomorphism-invariant) theories are essentially different in nature. I argue against both claims. Background-dependent theories can be formulated in a diffeomorphism-invariant manner. This suggests that the nature of the physical magnitudes of relevantly analogous theories (one background free, the other background dependent) is essentially the same. The temptation to think otherwise stems from a misunderstanding of the meaning of spacetime coordinates in background-dependent theories.</p>
spellingShingle Philosophy
Pooley, O
Background independence, diffeomorphism invariance, and the meaning of coordinates
title Background independence, diffeomorphism invariance, and the meaning of coordinates
title_full Background independence, diffeomorphism invariance, and the meaning of coordinates
title_fullStr Background independence, diffeomorphism invariance, and the meaning of coordinates
title_full_unstemmed Background independence, diffeomorphism invariance, and the meaning of coordinates
title_short Background independence, diffeomorphism invariance, and the meaning of coordinates
title_sort background independence diffeomorphism invariance and the meaning of coordinates
topic Philosophy
work_keys_str_mv AT pooleyo backgroundindependencediffeomorphisminvarianceandthemeaningofcoordinates