THE SPECIAL THEORY OF RELATIVITY AND THE SPACE-TIME DOMAIN D₀

The first paper in this category is primarily to demonstrate the use of a new representation of Pseudo-Euclidean Space-Time. This is based upon Hermann Minkowski's four dimensional "world", and is a linear complex-variable continuum in which the temporal dimension is the imaginary part, and the three spatial dimensions are the real part. The subsequent papers extend the use of this concept into the analysis of various related scenarios as well as further extending the Special Theory itself. The links below are to the introductory pages to the papers themselves.

The Special Theory, (R1 Ver. 2.3.3) - The paper on the Special Theory develops, from first principles, the kinematic and kinetic theory of relativistic rectilinear, curvi-linear and central orbital motion of an individual mass when subjected to appropriate accelerating forces. The development is effected within a linear four dimensional Relativistic Space-Time Domain, (space-time continuum), as briefy described above, and designated D₀. This Domain is subsequently shown to be equivalent to Pseudo-Euclidean Space-Time. The paper also acts as a precursor to the main paper on the new theory of gravitation in that section of the site.

Spinning Spherical Masses, (R2 Ver. 1.0.1) - This paper analyses the relativistic characteristics of typical parameters associated with spherical masses, when such masses are spinning at high angular rates. The results are largely of mathematical interest only, apart from one result which could have significant implications in the fields of cosmology and the theory of atomic structure.

Temporal Rate Variability, (R3 Ver. 1.0.0) - This short paper investigates the purported variability of temporal rate in Pseudo-Euclidean Space-Time by analysing the effects of a variety of moving reference frames on the characteristics of the first order relativistic variations of spectral Doppler shift and the velocity of light.

Time Travel, (R5 Ver. 1.0.0) - Although largely the subject of science fiction writers in the past, this subject is now being actively investigated by some researchers. This paper therefore analyses the possibility of time travel using the techniques of Relativistic Domain Theory. The nature of time, as depicted in the third paper in the Gravitation section of this site, indicates that travelling through time is not possible. The analysis presented here confirms that, but does lead to other potential possibilities.

The Spatial Distribution of Energy and The Generation of Energy Mass and Inertial Mass. - This paper investigates in depth the spatial - temporal distribution of an applied accelerative force to a body of large mass, and the resulting spatial - temporal distribution of matter and kinetic energy. This leads directly to a mathematical derivation showing the manner in which both energy mass and inertial mass are generated by the application of this accelerative force.

The Laws of Relativistic Motion - This paper reviews the relativistic applicability of both Sir Isaac Newton's general laws, and Johanne Kepler's planetary laws of motion. Each set of laws are found to be applicable but, in some cases with a degree of modification to their mathematical representation. In the first case a simplification of Sir Isaac Newton's laws is achieved such that only one equation is necessary to represent all three.

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