GRAVITATION AND THE RELATIVISTIC SPACE-TIME DOMAIN D_{1} The papers in this category develop a new theory for the generation of gravity by ponderable astronomic matter. The development is effected via a simple variation of the new space-time continuum introduced in the papers on the Special Theory of Relativity. The difference is such that only one parameter need be varied to change from the mathematical representation of Pseudo-Euclidean Space-Time to the Gravitational Space-Time used here. The links below are to the PDF papers. |
Gravitation:, (G1 Ver. 2.2.4) - The paper on gravitation creates a new Relativistic Space Time Domain designated D_{1}, different from D_{0} but also completely linear, and which exhibits all the characteristics of gravitational motion. This new space time Domain is subsequently shown to be equivalent to that represented by a system such as our own, the Solar System. The main feature is the derivation, within this linear continuum, of the kinematic and kinetic relationships of gravitational central orbital motion. Such motion is then shown to satisfy the tests of planetary orbit perihelion rotation, and both the curvature and the gravitational spectral red shift of electro-magnetic radiation, as observed both within the Solar System and beyond. It thereby demonstrates that a curved space time continuum is not a necessary requirement for the generation of gravity by ponderable matter. |
Gravitational Force, Mass and Energy, (G2 Ver. 1.1.1) - An associated paper on gravitational motion extends the review into further kinetic matters. Gravitational force, mass and energy are considered, with particular attention being paid to the purported equality of gravitational and inertial mass. The question of gravitational kinetic energy is also reviewed in detail. |
Time Dilatation, (G3 Ver. 1.2.2) - In a second associated paper on gravitational motion, using a new relationship between space, time and matter, a new theory for the mechanism generating gravity, and the time dilatation effect is developed. The theory so derived provides for all the relationships which precisely describe relativistic gravitational motion as extant within the Solar System, and as analysed in the above two papers. It therefore supports the conclusion in those papers, that a curved space-time continuum, as purported in the General Theory of Relativity, is not a necessary requirement for the generation of gravity. |
Maxwell Gravity, (G4 Ver. 1.0.0) - In this paper, the Relativistic Domain theory of gravitaion is developed in the form of Maxwell's equations of electromagnetc theory. Four equations are required to express the four aspects needed, external and internal to the source, for both the spatial and temporal dimensions. Once developed, the equations are formally solved to produce the spatial expansion velocity of the source, the corresponding temporal velocity, and their associated Acceleration Potentials. An appendix on gravity waves is also included. |
Fundamental Gravity, (G5 Ver. 1.0.1) - This is the final paper describing the development of the Relativistic Domain theory of gravitation. The fundamental cause of gravitation is shown to result from two simple hypotheses. The conservation of space and the matter density retardation of temporal velocity. These two hypotheses are shown to enable the complete derivation of all mathematical expressions within the theory. The former also provides an explanation for the significance of the so called gravitational radius. Finally, the results of this paper also enable a brief dissertation on the nature of the dark matter of astrophysics. |
The Inverse Square Law Anomaly, (G6 Ver. 1.1.0) - This paper describes the inverse square law anomaly of gravitational theory, in that the gravitational field does not go to zero at any finite distance from the source. A resolution of same for the Relativistic Domain theory of gravitation is then presented by ascribing to three dimensional space, an attribute similar to "elasticity". This results in an additional constant retardation term in the relationship for the Acceleration Potential, which in turn effectively reduces the field to zero close, (astronomically), to the source. The value of the constant of proportionality is then obtained by equating the new constant retardation term, to that of the unmodelled retardation of the Pioneer Anomaly. |
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