Abstract
According to the geometrical interpretation of the Mach-Einstein doctrine (MED), the gravitational field must be given by the 16 components of the reference tetrads such that the gravitational equations define an Einstein-Cartan teleparallelism breaking the local Lorentz invariance of physics. Therefore, the MED can be by gravitational equations of Einstein-Mayer type which are coordinate-covariant but not Lorentz invariant. In this theory, the gravitational field defines a global Machian reference system determined by the cosmic matter. The theory of general relativity (GRT) is just that “degenerate case” of the Einstein-Mayer class of theories which maintains the local Lorentz invariance. From this point of view, the main task of cosmology is to discover Machian reference systems as solutions of the Einstein-Mayer equations and thus to prove them as determined by the matter of the universe.
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von Borzeszkowski, HH., Treder, HJ. (1998). Implications of Mach’s Principle: Dark Matter and Observable Gravitons. In: Hunter, G., Jeffers, S., Vigier, JP. (eds) Causality and Locality in Modern Physics. Fundamental Theories of Physics, vol 97. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0990-3_18
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DOI: https://doi.org/10.1007/978-94-017-0990-3_18
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