scholarly journals MACH’S PRINCIPLE AND SOME PROMISING NEW RESULTS IN FIVE-DIMENSIONAL FIELD THEORY

Metaphysics ◽  
2021 ◽  
pp. 92-104
Author(s):  
B. G Aliyev
Keyword(s):  
Field Theory ◽  
Mach's Principle ◽  
Mach’S Principle ◽  
Field Equations ◽  
Geometric Characteristics ◽  
Modern Physics ◽  
Further Development

The further development of the five-dimensional field theory is considered and it is shown that it contains even more new and very promising possibilities that relate to the influence of the dimension of our Universe and its geometry on the physical and geometric characteristics available in it, as well as the identification of the connection between the field equations of this theory and various old and new problems of modern physics, astrophysics and cosmology.

Berichte: Mach's Principle - A Critical Review

1973 ◽  
Vol 28 (3-4) ◽  
pp. 529-537 ◽  
Author(s):  
Michael Reinhardt
Keyword(s):  
General Relativity ◽  
Selection Rule ◽  
Inertial Mass ◽  
Physical Principle ◽  
Mach's Principle ◽  
Mach’S Principle ◽  
Field Equations ◽  
Basic Physical Principle ◽  
Theories Of Gravitation

AbstractAfter a short historical introduction it is discussed how far Mach's principle is incorporated into general relativity. The possible role of Mach's principle as a selection rule for the solutions of Einstein's field equations is summarized. Then follows a discussion of Math's principle in theories of gravitation other than Einstein's, mainly the Brans-Dicke theory. Finally the experiments on the isotropy of inertial mass and their consequence for Mach's principle are described. The conclusion is that Mach's principle, though an extremely stimulating thought, has at present little claim to be a basic physical principle.

scholarly journals Spacetime Exterior to a Star: Against Asymptotic Flatness

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 382-394
Author(s):  
Mark D. Roberts
Keyword(s):  
Perfect Fluid ◽  
Observational Data ◽  
Spherical Symmetry ◽  
Mach's Principle ◽  
Mach’S Principle ◽  
Field Equations ◽  
Conservation Equations ◽  
Specific Field ◽  
Thermodynamic Equation ◽  
Asymptotic Flatness

AbstractIn many circumstances the perfect fluid conservation equations can be directly integrated to give a geometric-thermodynamic equation: typically that the lapse N is the reciprocal of the enthalphy h, (N = 1/h). This result is aesthetically appealing as it depends only on the fluid conservation equations and does not depend on specific field equations such as Einstein's. Here the form of the geometric-thermodynamic equation is derived subject to spherical symmetry and also for the shift-free ADM formalism. There at least three applications of the geometric-thermodynamic equation, the most important being to the notion of asymptotic flatness and hence to spacetime exterior to a star. For asymptotic flatness one wants h → 0 and N → 1 simultaneously, but this is incompatible with the geometric-thermodynamic equation. Observational data and asymptotic flatness are discussed. It is argued that a version of Mach's principle does not allow asymptotic flatness.

Finite Universe and Mach's Principle

Nature ◽  
1962 ◽  
Vol 196 (4852) ◽  
pp. 362-363 ◽  
Author(s):  
H. DEHNEN ◽  
H. HöNL
Keyword(s):  
Mach's Principle ◽  
Mach’S Principle
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