PHYSICS, RELATIVITY, GRAVITATION, COSMOLOGY AND MATHEMATICS - NEW THEORIES AND FORMULATIONS.The purpose of this site is the presentation of new theories and mathematical formulations of Atomic Structure, Albert Einstein's Special Theory of Relativity, Gravitation and Cosmology. The Section on Mathematics presents new ideas in number theory and analysis. The content is therefore of a technical nature, requiring a good knowledge of mathematics, physics and applied mechanics up to graduate level. | ||

Links to the Papers.
Changes in Last Updates.New Physics Paper Added :- (i) Sub-Atomic Particle Matter Waves. New Relativity Paper Added :- (ii) The Spatial Distribution of Energy in the Relativistic Motion of Ponderable Matter. Last Update25 February 2016. Note:- This site displays best in Internet Explorer 7 et seq and Chrome. |
The current literature on the physics theories above primarily works with such techniques as Quantum Mechanics and Quantum Electrodynamics, (Atomic Stucture), Riemannian Geometry and the Tensor Calculus etc. (Relativity, Gravitation and Cosmology), and while these are extremely powerful mathematical tools, they are also very complex. Therefore, when applied to Atomic Structure Theory, the theories of Special and General Relativity, and Cosmology, they result in a formulation quite difficult to follow, for even the most accomplished post graduate student. In the presentations here, nothing more complex than first and second order differential equations of functions of a complex variable are used, to initially develop the Special Theory of Relativity from first principles, using a new representation of Minkowski space-time designated Relativistic Domains. This forms the basis from which additional papers are developed, extending the technique into further relativistic, gravitational and cosmological matters. This extension includes the development of mathematically rigorous new theories for Gravitation, the origin and existence of the Universe, and Atomic Structure theory. The latter is based upon a combination of modern Quantum Mechanics and the old Quantum Theory of Niels Bohr and Arnold Sommerfeld. In the Section on Mathematics, the subjects addressed are:- (i) A simple proof of Fermat's Last Theorem. (ii) A Resolution of the Riemann Hypothesis, (iii) The generation of prime numbers via single variable polynomial equations. New methods of testing for (a) primality, and (b) the determination of the number of primes between two limiting numbers, (iv) The closed forms of convergent infinite series, and (v) Ensuring the absolute convergence of the Bairstow Method of finding the roots of high order polynomials. The precise determination of the multiple roots of high order polynomials is also addressed. All papers are in PDF format.
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