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Cited by 844

The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.

Mach's Principle and Invariance under Transformation of Units

Dicke, R. H.·1962·Physical Review
DOI 10.1103/physrev.125.2163
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Abstract

A gravitational theory compatible with Mach's principle was published recently by Brans and Dicke. It is characterized by a gravitational field of the Jordan type, tensor plus scalar field. It is shown here that a coordinate-dependent transformation of the units of measure can be used to throw the theory into a form for which the gravitational field appears in the conventional form, as a metric tensor, such that the Einstein field equation is satisfied. The scalar field appears then as a "matter field" in the theory. The invariance of physical laws under coordinate-dependent transformations of units is discussed.

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Metadata

Authors
Dicke, R. H.
Venue
Physical Review
Publisher
American Physical Society (APS)
Published
1962-03-15
Volume
125
Issue
6
Pages
2163-2167
ISSN
0031-899X (ISSN-L)
DOI
10.1103/physrev.125.2163
OpenAlex
W2224994470
Cited by
844
References
1
FWCI
5.45
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Mach's Principle and Invariance under Transformation of Units. https://app.cochat.ai/papers/10.1103/physrev.125.2163
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Dicke, R. H. (1962). Mach's Principle and Invariance under Transformation of Units. Physical Review. https://doi.org/10.1103/physrev.125.2163

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.