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.
Links to other web sites
of a related nature.
Links to PDF versions
of all published papers. PDF
Changes in Last Updates.
All unpublished papers have now been added as PDF documents. See link above, "PDF Only Papers".
New Cosmology Paper Added in PDF only Papers:-
The Origin and Exitence of the Universe - Full Dynamic Characteristics.
New Mathematics Paper Added in PDF only Papers:-
The Riemann Hypothesis - A Resolution
21 March 2013.
Note:- This site displays best in Internet Explorer 7 et seq.
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).
Ownership and Contact.
This is the personal Web Site of Peter Bass.
If you print and/or download the papers on this Site for off-line review,
please do not modify them in any way, and please honour my copyright.
If you would like to comment on this site and/or its contents,
please contact me at:-
See Links page at left.
Thank you for visiting my Web Site. You are visitor no.