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.
Abstract. This paper investigates the characteristics of de Broglie's matter waves in the Relativistic Space-Time Domain D0, (Pseudo-Euclidean Space-Time), and thereby provides a simplified theoretical demonstration of the dual nature of matter in both particulate and wave function form. These characteristics then enable a new method of derivation of Einstein's relativistic energy-momentum relationship which subsequently allows a deeper insight into the nature of the spatial-temporal distribution of the energy of matter.
Abstract. The purpose of this paper is to present a new simplified approach to the mathematical formulation of Albert Einstein’s Special Theory of Relativity. Initially, a new representation of Hermann Minkowski’s Pseudo-Euclidean Space-Time ”World” is defined, within which a new concept, Existence Velocity, is introduced. This then enables the simplified development, along classical analytical lines, of the Special Theory’s kinematic and kinetic relationships.
Abstract. This paper investigates some characteristics of spherical masses when spinning at high angular rates within the Relativistic Space-Time Domain D0, and discusses some of the potential implications.
Abstract. This short paper, via analysis of the characteristics of the spectral Doppler shift of a plain wavefront, investigates the purported variability of temporal rate in a moving reference frame in Pseudo-Euclidean Space-Time.
Abstract. Within the Relativistic Space-Time Domain D0, this paper investigates three "fringe" subjects that are not currently realisable. They are, (i) time travel, (ii) the conversion of matter into useable energy, and (iii) spatial travel at the velocity of light, (or more correctly, the terminal velocity of D0).
Abstract. This paper reviews the relativistic applicability of both Sir Isaac Newton's three general laws of motion, and Johannes Kepler's three laws of planetary motion, within their applicable relativistic domains, D0, (Pseudo-Euclidean Space-Time), and D1, (Gravitational Space-Time).
Abstract. Following the presentation of a new theory of gravitation in [1], this short paper discusses three further aspects concerning kinetics within the gravitational Space-Time Domain D1. They are (i) the spatial-temporal distribution of the internally generated accelerative force, (ii) the relationship between gravitational and inertial mass, and (iii) kinetic energy.
Abstract. Following the presentation of the new theory of gravitation in [1], this paper presents a mathematical derivation for the generation by the gravitational source, of the two central parameters in that theory, gravitational Acceleration Potential and the time dilatation effect.
Abstract. This paper investigates the derivation of the mathematical formulation of the Relativistic Domain theory of gravitation, in the form of Maxwell's equations of electromagnetic theory.
by Peter Bass
Abstract. This paper extends Relativistic Domain Theory into cosmology to develop an alternative theory for the origin and existence of the Universe. The main result is the derivation of a theoretical relationship for, and corresponding numerical value of, the Hubble constant, which is then compared with empirical results.
by Peter Bass
Abstract. This paper investigates the possibility of a gravitational source possessing a physical radius of the same order of magnitude as its gravitational radius, and accordingly, its resulting characteristics. Also an empirical law for the gravitational accumulation of matter is determined.
by Peter Bass
Abstract. Bairstow's Method of finding the roots of polynomial equations is examined in detail to determine the ways in which it fails to produce a satisfactory result. These problems are then eliminated in an experimental computer spreadsheet implementation, (Microsoft EXCEL), for polynomials of orders up to 10.
by Peter Bass
Abstract. The purpose of this paper is to identify, under a strict set of control conditions, those single variable polynomial equations of order 2 or higher, that generate only prime numbers.
by Peter Bass
Abstract. This paper provides a simple proof of Fermat's Last Theorem via elementary algebraic analysis of a level that would have been extant in Fermat's day, the mid seventeenth century.
All of the works associated with Peter here are Peter Bass©
For access to his complete work, please visit Peter
Bass' Website.
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