A tentative purely geometrical Machian framework for describing gravity and inertia

Mathematics – Logic

Scientific paper

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Gravitation Theory, Mach Inertia Principle, Cosmology, Gravitational Fields, Relativistic Theory, Riemann Manifold

Scientific paper

A purely geometrical framework for implementing Machian ideas about inertia is proposed. Only coupling constants that are dimensionless in natural units are introduced, and the gravitational field equations for cosmological units are identical to Einstein's equations in any nonvacuum cosmology. It is suggested that the cosmos in this framework be identified with a superuniverse model in which the background structure is homogeneous and isotropic, while the observable universe is represented by one of the local inhomogeneities of the background. Experimental tests of the proposed model are briefly discussed.

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