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, (In PDF only Papers).

(iii) The generation of prime numbers via single variable polynomial equations. New methods of testing for primality and determination of the number of primes between two limiting numbers, (In PDF only Papers).

(iv) 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.

The links at the top left connect with introductory pages to the five categories of papers presented. Because they largely follow on from one another, for maximum appreciation, the physics papers should be read in the order listed.

Note - In some papers the mathematical nomenclature uses a special font to represent a certain parameter. Within the text this may not display correctly, being replaced by a standard font, (For those who wish to display this parameter correctly, the necessary font is here, TIMPNIH0.TTF, for download. It should be placed in the "Windows\Fonts" directory).

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