On the local anisotropy of space-time, inertia and force fields

Details On the local anisotropy of space-time, inertia and force fields On the local anisotropy of space-time, inertia and force fields

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ncimb..77..181b&link_type=abstract

Nuovo Cimento B, Serie 11, vol. 77 B, Oct. 11, 1983, p. 181-190.

Mathematics

Logic

4

Anisotropy, Gravitation Theory, Inertia, Nonrelativistic Mechanics, Space-Time Functions, Astronomical Models, Klein-Gordon Equation, Mach Inertia Principle, Potential Energy

Scientific paper

It is shown that the equations of nonrelativistic mechanics, which have been written by Cocconi and Salpeter purely phenomenologically, proceeding from Mach's principle, follow in the nonrelativistic limit from the special-relativistic theory of the locally anisotropic space-time. An explicit expression for the inertial-mass tensor has been found in terms of the local fields, which characterize the magnitude of space anisotropy and the preferable direction. In connection with the analysis of experiments to test Mach's principle, the effect of space anisotropy on the potential energy has been considered. An equation is proposed to describe a scalar massive field in the locally anisotropic flat space-time.

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