Showing papers on "Special relativity (alternative formulations) published in 1968"
Book•
01 Oct 1968
TL;DR: In this paper, a presentation of the fundamentals of special relativity, general relativity, and cosmology with particular emphasis and development of the electromagnetic stress-energy tensor in special relativity is presented.
Abstract: : Relativity and Cosmology is a presentation of the fundamentals of special relativity, general relativity, and cosmology- with particular emphasis and development of (1) the electromagnetic stress-energy tensor in special relativity, (2) the poynting-Robertson effect, (3) the experimental basis for special-relativistic gravitational theories, (4) the geometric foundation for Reimannian geometry, (5) the derivation of the cosmological metric from group theory, (6) a discussion of cosmological models, (7) rotation of coordinate systems in general relativity, (8) electromagnetism in media in general relativity, (9) rotationally symmetric general-relativistic solutions, (10) Godel's cosmological model, and (11) geodesic precession.
315 citations
158 citations
TL;DR: In this paper, the field of a sphere of constant gravitational mass density is given for a sphere with constant mass density, where the field is characterized by a constant number of degrees of freedom.
Abstract: Formulae are given for the field of a sphere of constant gravitational mass density.
46 citations
TL;DR: Henri Poincare was the first to introduce four-vectors, the Lorentz group and its invariants (including the space-time metric), "Poincare stresses", as well as making other valuable contributions to relativity theory as mentioned in this paper.
Abstract: Henri Poincare was the first to introduce four-vectors, the Lorentz group and its invariants (including the space-time metric), “Poincare stresses,” as well as making other valuable contributions to relativity theory. We owe to him the names: “Principle of Relativity,” “Lorentz group,” “Lorentz transformation,” and “invariants of the Lorentz group.” It will be shown that his main contributions to relativity were those of a mathematical nature. This has not been sufficiently recognized, although his physical contributions to relativity have been much discussed recently. Frequent misunderstanding of the work of Poincare and Einstein has resulted in controversy tending to obscure the main achievements of Poincare. The Poincare stresses are discussed because of widespread ignorance regarding the theory of classical fundamental charges. The emphasis in this article is on those accomplishments of Poincare by which he should be better known today. In addition, some misconceptions about the history of relativity ...
17 citations
TL;DR: The Runge-Lenz vector, which is a constant of the motion in the nonrelativistic hydrogen atom, is shown to be a two-body quantity whose presence can be completely understood within the classical framwork of special relativity as mentioned in this paper.
Book•
01 Jan 1968
01 Jan 1968
01 Jan 1968
TL;DR: In this paper, the uniqueness of general relativity is established by postulating the derivability of the equations of motion from the (gravitational) field equations, and it is also emphasized that even with regard to agreement with experiment (including cosmology) there exist, in my opinion, no compelling arguments against general relativity.
Abstract: The essential point of this note is to establish the uniqueness of general relativity by postulating the derivability of the equations of motion from the (gravitational) field equations. It is also emphasized that even with regard to agreement with experiment (including cosmology) there exist, in my opinion, no compelling arguments against general relativity.
01 Jan 1968
Abstract: The Rainich equations of the `already unified field theory' are studied in the case of non-static electromagnetic fields, and a solution is obtained for a space-time metric which admits a group G4 of automorphisms. There exists a divergence-free electromagnetic field for x4 > 0, except for x4 -> infinity. It is shown that the electromagnetic field vanishes for large values of time, and the solution for a completely empty flat space is then obtained.
TL;DR: In this article, an educational experiment is described in which students explore the topic of 4-vectors in special relativity using textbooks and a computer tutorial, and the results of the experiment have exposed for us a few of the technical and educational problems lying in the way of general use of such study aids.
Abstract: An educational experiment is described in which students explore the topic of 4-vectors in special relativity using textbooks and a computer tutorial. The results of the experiment have exposed for us a few of the technical and educational problems lying in the way of general use of such study aids.
TL;DR: In this article, it was shown that a very general type of detector is only able to resolve space time to a limited degree, and the notion of local simultaneity, which is basic to the special theory is inexact.
Abstract: The question is raised whether one can legitimately assume special relativity to be valid in the quantum domain. In partial answer to this query, it is demonstrated that, owing to the Heisenberg uncertainty relations, a very general type of detector is only able to resolve space time to a limited degree. To this same degree the notion of local simultaneity, which is basic to the special theory, is inexact.