Mach's Principle and Invariance under Transformation of Units

R. H. Dicke
Phys. Rev. 125, 2163 – Published 15 March 1962
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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.

  • Received 19 October 1961

DOI:https://doi.org/10.1103/PhysRev.125.2163

©1962 American Physical Society

Authors & Affiliations

R. H. Dicke

  • Palmer Physical Laboratory, Princeton University, Princeton, New Jersey

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Issue

Vol. 125, Iss. 6 — March 1962

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