Four-force

About: Four-force is a research topic. Over the lifetime, 3459 publications have been published within this topic receiving 87308 citations.

An alternative deduction from the michelson-morley experiment

Abstract: A theory is developed from two postulates: that the speed of light is invariant, and that any two synchronized clocks which are separated will again agree on reuniting. The existence of a preferred inertial frame is demonstrated and the coordinate transformations for non-uniform motion are obtained and used in an analysis of a return journey to elucidate further the clock paradox. With electrodynamics and mechanics as examples it is shown that physical laws are invariant in the special case of uniform motion and consequently that many of the arguments alleged to demonstrate special relativity do not in fact do so. However, in the case of non-uniform motion the theory appears to have an inherent restriction to events on the common path of observers with rectilinear motion, and until this restriction can be removed the physical validity of the theory is doubtful.

Static multiparticle systems in general relativity

Abstract: We develop exact static solutions to the field equations of general relativity that represent axially symmetric distributions of isolated bodies. The solutions obtained do not involve negative mass; the gravitational attraction between the bodies is counterbalanced by the Coulomb repulsion of electrical charges placed on the bodies. Since the assignment of physical interpretations to axially symmetric solutions is not straightforward in general relativity, we also present additional arguments showing that our multiparticle interpretation is indeed correct. Thus we analyse, for the case of two isolated particles, the behavior of the differential invariants and the geodesic motion of test particles, and for all the examples considered we find agreement with our multiparticle interpretation. Our solutions also contain nonsingular event horizons, which we relate to an electrovac theorem recently proved by Israel.

Searching for invariant description of chaos in general relativity

Abstract: The main objective of the paper is to propose invariant indicators of local instability in general relativity The key idea is a very simple and old one: if one is able to formulate the dynamics as a geodesic flow then the sensitive dependence on initial conditions may be captured in terms of the Jacobi equation Invariant indicators of local instability proposed in this paper are expressed by the invariant polynomials constructed out of the principal sectional curvatures This procedure is applied to the Bianchi IX model in the high anisotropy approximation, which is a good asymptotic description near the singularity It is demonstrated that trajectories are locally unstable there

CPT Invariance and Interpretation of Quantum Mechanics

Abstract: This paper is a sequel to various papers by the author devoted to the EPR correlation. The leading idea remains that the EPR correlation (either in its well-known form of nonseparability of future measurements, or in its less well-known time-reversed form of nonseparability of past preparations) displays the intrinsic time symmetry existing in almost all physical theories at the elementary level. But, as explicit Lorentz invariance has been an essential requirement in both the formalization and the conceptualization of my papers, the noninvariant concept ofT symmetry has to yield in favor of the invariant concept ofPT symmetry, or even (asC symmetry is not universally valid) to that ofCPT invariance. A distinction is then drawn between “macro” special relativity, defined by invariance under the orthochronous Lorentz group and submission to the retarded causality concept, and “micro” special relativity, defined by invariance under the full Lorentz group and includingCPT symmetry. TheCPT theorem clearly implies that “micro special relativity”is relativity theory at the quantal level. It is thus of fundamental significance not only in the search of interaction Lagrangians, etc., but also in the basic interpretation of quantum mechanics, including the understanding of the EPR correlation. While the experimental existence of the EPR correlations is manifestly incompatible with macro relativity, it is fully consistent with micro relativity. Going from a retarded concept of causality to one that isCPT invariant has very radical consequences, which are briefly discussed.

Physical time and physical space in general relativity

Abstract: This paper comments on the physical meaning of the line element in general relativity. We emphasize that, generally speaking, physical spatial and temporal coordinates (those with direct metrical significance) exist only in the immediate neighborhood of a given observer, and that the physical coordinates in different reference frames are related by Lorentz transformations (as in special relativity) even though those frames are accelerating or exist in strong gravitational fields.