Covariant Chronogeometry and Extreme Distances. III. Macro-Micro Relations

Physics

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Scientific paper

A theory is proposed that provides a coherent, concise, and nonparametric analysis of major features of the fundamental physical structure of the universe, from micro- to macroscopic. In particular it indicates that gravity is essentially the transform of the aggregate of the basic microscopic forces under conformal inversion, and not a specific force in irself. The theory also suggests a natural form for elementary particle structure that implies a nonparametric cosmological effect and indicates an intrinsic hierarchy among the microscopic forces. The theory replaces Minkowski space M 0 by a larger space-time M that osculates at the point of observation, and in which it is canonically imbedded by a causality-preserving transformation that is a relativistic variant of stereographic projection. The natural energy in M exceeds that in M 0 by an amount that becomes observationally significant in large-scale contexts; an earlier proposal that this energy difference represents the extragalactic redshift has resolved a variety of anomalies and provided a greatly improved nonparametric fit to statistical data in cosmology. The energetic contents of the universe appear to distinguish a global inertial frame in which M takes the metric form R 1× S 3 proposed by Einstein. It is argued that in the case of massive particles the energy excess in M in this frame over that in M 0 is observed as gravity. Implications include more explicit forms of the Mach and Einstein Equivalence principles.

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