Mach's Principle and a Relativistic Theory of Gravitation. II

A non-relativistic theory of inertia based on Mach’s principle is presented as has been envisaged, but not achieved, by Ernst Mach in 1872. The central feature is a space-dependent, anisotropic, symmetric inert mass tensor. The contribution of a mass element d m to the inertia of a particle m 0 experiencing an acceleration from rest is proportional to cos 2 α , where α is the angle between the line connecting m 0 and d m and the direction of the acceleration. Apsidal precession for planets circling around a central star is not a consequence of this theory, thereby avoiding the prediction of an apsidal precession with the wrong sign as is done by Mach-like theories with isotropic inert mass.

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Anomalous Redshifts of QSOs

Symposium - International Astronomical Union ◽

10.1017/s0074180900068431 ◽

1980 ◽

Vol 92 ◽

pp. 127-129

Author(s):

J. V. Narlikar ◽

P. K. Das

Keyword(s):

High Redshift ◽

Mach's Principle ◽

Mach’S Principle ◽

The Galaxy ◽

Theory Of Gravitation ◽

Anomalous Redshift ◽

Companion Galaxy ◽

Redshift Galaxies

The evidence for association of high redshift QSOs with low redshift galaxies is subject to controversies. If it can be convincingly argued that the observed associations are accidental and could occur with reasonably high probabilities (say > 5%) then the cosmological interpretation of the redshifts of QSOs remains unaffected by the data. If, however, there is increasing evidence, either statistically or in direct physical terms, for these associations to be real, then the excess redshifts of the QSOs become anomalous. Taking the latter alternative seriously, a suggestion was made by Narlikar (Annals of Physics, 107, 325, 1977) that the anomalous redshift of the QSO in a typical QSO-galaxy pair could arise because the particle masses in the QSO were systematically smaller than those in the companion galaxy, as predicted by a theory of gravitation based on Mach's principle. One astrophysical consequence of this effect is that the QSO should appear younger than the galaxy.

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Mach’s principle for cosmological solutions in relativistic theory of gravity

Physics of Particles and Nuclei Letters ◽

10.1134/s1547477115020090 ◽

2015 ◽

Vol 12 (2) ◽

pp. 195-204 ◽

Cited By ~ 2

Author(s):

Yu. V. Chugreev

Keyword(s):

Relativistic Theory ◽

Mach's Principle ◽

Mach’S Principle ◽

Relativistic Theory Of Gravity ◽

Cosmological Solutions ◽

Theory Of Gravity

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A Theory of Inertia Based on Mach's Principle

10.20944/preprints201907.0133.v1 ◽

2019 ◽

Author(s):

Volkmar Putz

Keyword(s):

Relativistic Theory ◽

Central Star ◽

Central Feature ◽

Mach's Principle ◽

Mach’S Principle ◽

Ernst Mach ◽

Mass Element ◽

Mass Tensor ◽

Inert Mass ◽

Wrong Sign

A non-relativistic theory of inertia based on Mach's principle is presented as has been envisaged but not achieved by Ernst Mach in 1872. Central feature is a space-dependent, anisotropic, symmetric inert mass tensor. The contribution of a mass element $dm$ to the inertia of a particle $m_0$ experiencing an acceleration from rest is proportional to $\cos^2\alpha$, where $\alpha$ is the angle between the line connecting $m_0$ and $dm$ and the direction of the acceleration. Apsidal precession for planets circling around a central star is not a consequence of this theory, thereby avoiding the prediction of an apsidal precession with wrong sign as is done by Mach-like theories with isotropic inert mass.

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