Mach's principle and the reciprocal symmetry of nature

Details Mach's principle and the reciprocal symmetry of nature Mach's principle and the reciprocal symmetry of nature

Sep 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988fophl...1..245s&link_type=abstract

Foundations of Physics Letters, Volume 1, Issue 3, pp.245-275

Physics

Mach'S Principle, Grand Unification Theory, Cosmogony Or Cosmology, Scalar Curvature, Critical Density, Poincar&Eacute, Or Conformal Group, Mass Ratios, Reciprocal Symmetry, Compactification Radius And Geometry

Scientific paper

This article develops the postulate that spacetime-charge inversion invariance reflects a fundamental reciprocal symmetry in nature between the two long range forces, from which the derivation of Mach's principle (i.e., the principle that the fundamental parameters of the electromagnetically elementary charged particle are related to those describing the electromagnetically observable universe) follows quite easily. Interpreting this result, it is argued that relativity and quantum mechanics can be made conceptually compatible and mathematically consistent by this reciprocal symmetry if one realizes that relativity is both a macroscopic, semiclassical theory (i.e., the “global half of relativity,” described by Eq. (1.1), including special and general relativity) and a microscopic theory (i.e., the “local half of relativity,” described by Eq. (2.1), including relativistic quantum mechanics and field theory). The reciprocal symmetry of nature, then, promises unique (differential and/or integral) relationships between the coordinate variables of the “observers” of these two reciprocally related theories, which implies unique, consistent numerical values for the scalar curvature R, the mass M, and the critical density for “closure,” ρ c, of the observable universe [derived from the elementary particle parameters (i.e., the electron mass and Coulomb radius)]. With this symmetry we also postulate a plausible mechanism for spontaneous generation of matter from the ubiquitous (zero-mass ether) “nothingness” of the “Dirac sea” of “filled negative energy states,” and can consistently interpret both the positive and negative-energy state solutions of Dirac's equation for massive, spin-1/2 (i.e., fermion) particles and both the advanced and retarded potential solutions of electromagnetic field equations. It is pointed out that, with this interpretation of the “advanced potential solutions” from electromagnetic field theory, one can actually derive causality from electromagnetic theory.

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