RECIPROCAL INVARIANT, MAXIMUM TENSION PRINCIPLE, AND THE LORENTZ COMPLEX GROUP AS THE SYMMETRY OF GRAVITATIONAL INTERACTION
Abstract
The quasi-Newtonian model of the reci ci procal invariant Hamil il tonian dynamics of gravitating masses, which obeys the Gibson maximum tension principle, is proposed. The symmetry of the model is defined by the Lorentz complex group with real metric. The mass of a model object is the only ly free parameter that defines space-time momentum-energy scales as well ll as frequency characteristics of the model. In the case of small masses there appears the classical analog of the Schrödinger "bouncing" (Zitterbewegung). In the limiting case of the Universe mass the model reproduces the "cyclic" variant of traditional cosmology. The availability of Gibbon’s limit results both in a universal relationship between energy density and cosmological expansion rate, as well as in the existence of the upper and lower limits of these quantities.
About the Author
L. M. TOMILCHIK
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus, Minsk
Belarus
Belarus
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