On the Field Equations Governing the Origin and Evolution of Compactified Hyper-dimensional-energy Universes

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Scientific Paper
Title On the Field Equations Governing the Origin and Evolution of Compactified Hyper-dimensional-energy Universes
Author(s) Robert E Var
Keywords {{{keywords}}}
Published 2003
Journal Unpublished
No. of pages 72

Abstract

Twentieth century science produced a clear need for a universe theory (UT) with an inherent capacity to explain how compactified hyper-dimensional universes are explosively created and sustained. Space-energy theory, in (R. Var, Foundations of Physics 5, 3, (Sept. 75, pp. 407-431)), offered a embryonic (1 + 4)-dimensional candidate for such a theory. Here I derive a definitive (1 + p ≥ 4)-dimensional UT called hyper-energy theory?as the third of three increasingly comprehensive gauge-field theories (GFT1−3) which are derived from the physical implications of a gravity theorem that Maxwell published, along with his electromagnetic field theory, in 1864; stating that: Gravity is a mass-induced reduction of an enormous intrinsic energy density, 0∈m, that characterizes the space-medium. GFT1, called w−gauge theory, yields five ways that particles couple to ∈m ≤ 0∈m via a single coupling-strength function; l = 1/[1 − w2]?, of their propagation velocity, w, in order conserve their energy and momentum. GFT1 is shown to cover special relativity theory while introducing the following two revolutionary discoveries: a) The flow velocity u of ∈m is a locally unobservable 3−vector-potential of the two previously disparate kinds of gravity referred to as matter-gravity and ?elevator−gravity'. b) The potential of Maxwellian-gravity, Φm = ?u2, provides fluid-∈m explanations for the potential (−Φn/c2) of Newtonian gravity and for the black holes and gravitational red-shifts deduced from general relativity theory. GFT2 is a (1 + 3) tensor generalization of w-gauge theory precipitated from Einstein's overly general relativity theory by employing l to give the 4-scalar differential, ds, a specific practical form, dx0/l, which causes the resulting theory?called Einstein-Maxwell (EM) gravity theory?to be harmonious with w−gauge theory and thus Maxwell's gravity theorem. The interactions of EM gravity and particles are then evaluated in sufficient depth to show that EM gravity is a readily quantizable solution of the long standing quantum-gravity problem. Hyper-energy theory (GFT3) is then logically deduced as being?to a first approximation?nothing more than, and nothing less than, a (p−3)-dimensional extension of the (1 + 3)-dimensional laws governing the dynamics of an abstractly continuous (non particulate) medium of compressible and inviscid mass-energy. I then demonstrate the e(p − 3) proportional efficacy of hyper-energy theory with multi big-bang driven, p−invariant, qualitative solutions of the hyper energy field equations that can be seen to account for: a) Compactification and 0∈m structure?with (p − 3) locally orthogonal (flat) time-flow-sourced hyper-dimensions. b) The Inflationary and Hubble expansion phases. c) The unifying role of a soliton Higgs-field in determining: 1) Cosmological particle-generation; 2) Maxwell's gravity theorem; 3) The quasi-(1 + 3)-dimensional propagation of particles and their de Broglie waves; 4) The elementary particle spectrum; And 5) The physical nature of both time and superstrings. Hence, a single, multi-component, super gauge-field representing the flow of time?which controls particle structures and interactions via its many and various types of physically comprehensible symmetry breakings?is accurately identified by hyper-energy theory as the (1 + p)-dimensional flux of hyper-energy through the propagationally expanding and solitonally compactified ?3−space' of this universe.