- On the Field Equations Governing the Origin and Evolution of Compactified Hyper-dimensional-energy Universes (2003) [Updated 5 years ago]
- On a New Mathematical Framework for Fundamental Theoretical Physics (1975) [Updated 5 years ago]

- On the Field Equations Governing the Origin and Evolution of Compactified Hyper-dimensional-energy Universes (2003) [Updated 5 years ago]
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.

- On a New Mathematical Framework for Fundamental Theoretical Physics (1975) [Updated 5 years ago]
It is shown by means of general principles and specific examples that, contrary to a long-standing misconception, the modern mathematical physics of compressible fluid dynamics provides a generally consistent and efficient language for describing many seemingly fundamental physical phenomena. It is shown to be appropriate for describing electric and gravitational force fields, the quantized structure of charged elementary particles, the speed of light propagation, relativistic phenomena, the inertia of matter, the expansion of the universe, and the physical nature of time. New avenues and opportunities for fundamental theoretical research are thereby illuminated.