From Macro to Quantum Gravity

E. E. Escultura

e-mail: escultur@nsclub.net

This paper establishes, for the first time, a physical theory of gravitation that encompasses the whole range of the visible universe from the very large at the galactic and supergalactic level called macro gravity that has been well discussed in previous work to its extension to the very small at the primal, atomic and molecular level called quantum gravity that we shall focus on and at every level between them – all anchored on the dark region of matter. It is essentially a consolidation of the theory of gravitation developed in and extended to quantum gravity. It is also the first major application of materialist mathematics to physics. Materialist mathematics is forged and embellished upon a thorough critique and rectification of mathematics carried out in. It is essentially mathematics as language of science with no physical content of its own but must have a physical model to minimize contradictions and insure applicability. The superstring is a physical model for the nonstandard number called dark number introduced in. The Universe is a physical model for another nonstandard number called unbounded number introduced in. Section 3 on the mathematics of gravitation consolidates materialist mathematics and introduces the generalized integral and theory of fractals; the latter is appearing in the literature for the first time.

An important result in, the characterization of undecidable propositions, says that any physical principle is undecidable in mathematics, an implicit criticism of the present methodology of physics that relies solely on mathematics for its fundamental principles. Its rectification requires the search for fundamental physical principles on which a physical theory is built called the flux theory of gravitation.

We review its fundamental physical principles and refine and unify them in the context of the dynamics of superstring fluxes, the essence of gravity. The theory unites macro and quantum gravity and encompasses cosmology, astronomy, quantum physics, electromagnetism and matter-anti-matter interaction and everything else between them. The theory is anchored on dark matter determined by 21 fundamental physical principles.

This paper extends the flux theory of gravitation started in to the development of quantum gravity and introduces some of the mathematics of the flux theory including the generalized integral and fractals. A sequel to this paper, Turbulence: Theory, Verification and Applications, for presentation at the third Congress of Nonlinear Analysts, Italy, July 2000, develops the mathematics appropriate for chaos and turbulence. The flux theory of gravitation is essentially a theory of turbulence and is adapted to the problem of turbulence on Earth in that paper. Due to delay in publication references must be made on known results in the sequels.