Showing papers on "Special relativity (alternative formulations) published in 1992"
01 Jan 1992
TL;DR: In this paper, the authors discuss the role of tensionors in the normalism of tensors and general relation in special and general relations, including black holes and grazitational waves.
Abstract: PART A: SPECIAL RELATIVITY PART B: THE FORMALISM OF TENSORS PART C: GENERAL RELATIVITY PART D: BLACK HOLES PART E: GRAVITATIONAL WAVES PART F: COSMOLOGY
794 citations
TL;DR: In this paper, it was shown that the reflection coefficient of any stratified planar structure can be obtained by using a complex generalization of Einstein's addition theorem for parallel velocities.
Abstract: I show that the reflection coefficient of any stratified planar structure can be obtained by using a complex generalization of Einstein's addition theorem for parallel velocities. This result also applies to multiple quantum wells. It provides a new mathematical tool in optics and in quantum theory and may lead to useful algorithms in computing. It may also give a new insight into special relativity. The composition law of velocities, in fact, no longer appears as a specific result of special relativity but rather as the expression, in the particular case of kinematics, of a more general law of physics. The possible use of the composition law of probability amplitude in quantum theory is also presented.
53 citations
01 Jan 1992
TL;DR: Taylor and Wheeler as mentioned in this paper have completely reorganised this popular and well known book to make it accessible to an even wider audience, with new topics, imaginative problems, and exceptionally clever illustrations, combined with a compelling narrative and intellectual authority.
Abstract: Edwin Taylor and John A. Wheeler-one of this century's most distinguished physicists - have completely reorganised this popular and well known book to make it accessible to an even wider audience. New topics, imaginative problems, and exceptionally clever illustrations, combined with a compelling narrative and intellectual authority make this a classic text. It is an ideal text for undergraduate courses in special relativity and modern physics.
27 citations
TL;DR: In this paper, a conceptual path that deduces all of Maxwell's equations from the near-minimal set of assumptions: (a) Inertial frames exist, in which Newton's laws hold, to a first approximation; (b) the laws of electrodynamics are Galilean invariant; (c) magnetic poles (as well as the usual electric charges) exist; (d) the complete Lorentz force on an electric charge is known; (e) the force on a monopole at rest, and (f) the Coulomb-like field
Abstract: Maxwell’s equations have space reserved for magnetic monopoles. Whether or not they exist in our part of the universe, monopoles provide a useful didactic tool to help us recognize relations among Maxwell’s equations less easily apparent in the approach followed by many introductory textbooks, wherein Coulomb’s law, Biot and Savart’s law, Ampere’s law, Faraday’s law, Maxwell’s displacement current, etc., are introduced independently, ‘‘as demanded by experiment.’’ Instead a conceptual path that deduces all of Maxwell’s equations from the near‐minimal set of assumptions: (a) Inertial frames exist, in which Newton’s laws hold, to a first approximation; (b) the laws of electrodynamics are Galilean invariant—i.e., they have the same form in every inertial frame, to a first approximation; (c) magnetic poles (as well as the usual electric charges) exist; (d) the complete Lorentz force on an electric charge is known; (e) the force on a monopole at rest is known; (f) the Coulomb‐like field produced by a resting electric charge and by a resting monopole are known. Everything else is deduced. History is followed in the assumption that Newtonian mechanics have been discovered, but not special relativity. (Only particle velocities v≪c are considered.) This ends up with Maxwell’s equations (Maxwell did not need special relativity, so why should we,) but facing Einstein’s paradox, the solution of which is encapsulated in the Einstein velocity‐addition formula.
19 citations
TL;DR: The Lagrangian method to generate conserved currents in field theories starting from the so-called Poincare-Cartan form is reviewed in this article, with examples of application to general relativity.
Abstract: The general 'Lagrangian' method to generate conserved currents in field theories starting from the so-called Poincare-Cartan form is reviewed, with examples of application to general relativity.
17 citations
TL;DR: The current status of a nonperturbative canonical quantisation of general relativity is summarized in this article, where the authors present a survey of the current state of the canonical quantization.
Abstract: The current status of a programme for nonperturbative canonical quantisation of general relativity is briefly summarized.
13 citations
01 Jan 1992
13 citations
Posted Content•
TL;DR: In this article, an effective action for gravity in which all homogeneous solutions are nonsingular is presented. But there is neither a big bang nor a big crunch, and the action is a higher derivative modification of Einstein's theory constructed in analogy to how the action for point particle motion in special relativity is obtained from Newtonian mechanics.
Abstract: We construct an effective action for gravity in which all homogeneous solutions are nonsingular. In particular, there is neither a big bang nor a big crunch. The action is a higher derivative modification of Einstein's theory constructed in analogy to how the action for point particle motion in special relativity is obtained from Newtonian mechanics.
9 citations
TL;DR: In this article, it was shown that direct detection of empty waves, combined with the validity of the quantum mechanical description of EPR-type experiments, inevitably leads to faster-than-light communication.
9 citations
01 Jan 1992
7 citations
Posted Content•
TL;DR: A review of non-standard relativistic cosmologies was given at the 65th birthday meeting of D.W. Sciama, The Renaissance of General Relativity and Cosmology as mentioned in this paper.
Abstract: This review was given at the 65th birthday meeting of D.W. Sciama, The Renaissance of General Relativity and Cosmology, to be published by Cambridge University Press. It presents progress in the understanding of non-standard relativistic cosmologies during Sciama's career, organized by the areas of application rather than the mathematical types of the models.
01 Jan 1992
TL;DR: This work proposes a modification of the Einstein theory of gravitation for which all isotropic cosmological solutions (even including matter) are nonsingular, and all solutions asymptotically approach de Sitter space, a solution with limiting curvature.
Abstract: We construct an effective action for gravity in which all homogeneous solutions are nonsingular. In particular, there is neither a big bang nor a big crunch. The action is a higher derivative modification of Einstein's theory constructed in analogy to how the action for point particle motion in special relativity is obtained from Newtonian mechanics.
TL;DR: In this article, the authors generalize the laws of magnetostatics, which follow from the Biot-Savart law and superposition, to be consistent with special relativity.
Abstract: Maxwell’s equations are obtained by generalizing the laws of magnetostatics, which follow from the Biot–Savart law and superposition, to be consistent with special relativity. The Lorentz force on a charged particle and its rate of energy change also follow by making Newton’s second law for a particle in a magnetostatic field consistent with special relativity.
01 Jan 1992
TL;DR: In this article, the authors review the present status of the null cone approach to numerical evolution being developed by the Pittsburgh group and demonstrate its effectiveness in revealing asymptotic physical properties of black hole formation in the gravitational collapse of a scalar field.
Abstract: We review the present status of the null cone approach to numerical evolution being developed by the Pittsburgh group. We describe the simplicity of the underlying algorithm as it applies to the global description of general relativistic spacetimes. We also demonstrate its effectiveness in revealing asymptotic physical properties of black hole formation in the gravitational collapse of a scalar field.
23 Mar 1992
TL;DR: In this article, the authors give the complete relativity effects as applied to a ground-based receiver's local coordinate time, including gravity and earth rotation effects, and show that the ground receiver has the worst uncompensated relativity effects.
Abstract: The author gives the complete relativity effects as applied to a ground-based receiver's local coordinate time. The current Global Positioning System (GPS) relativity corrections were based on an earth-centered inertial reference frame. The derivation assumed that the receiver obtained inertial GPS coordinate time from the satellites. However, the receiver has been treated tacitly as being stationary in the inertial frame. The problem is that relativity effects in GPS are compensated only for the moving satellites relative to the frame. It is shown that relativity effects for a ground-based receiver include gravity and earth rotation. Airborne GPS receivers have larger effects, and spaceborne GPS receivers have the worst uncompensated relativity effects. >
Proceedings Article•
12 Jul 1992TL;DR: A rational reconstruction of Einstein's discovery of special relativity, validated through an implementation: the Erlanger program is described, using the invariance principle as a limiting approximation.
Abstract: This paper describes a rational reconstruction of Einstein's discovery of special relativity, validated through an implementation: the Erlanger program Einstein's discovery of special relativity revolutionized both the content of physics and the research strategy used by theoretical physicists This research strategy entails a mutual bootstrapping process between a hypothesis space for biases, defined through different postulated symmetries of the universe, and a hypothesis space for physical theories The invariance principle mutually constrains these two spaces The invariance principle enables detecting when an evolving physical theory becomes inconsistent with its bias, and also when the biases for theories describing different phenomena are inconsistent Structural properties of the invariance principle facilitate generating a new bias when an inconsistency is detected After a new bias is generated, this principle facilitates reformulating the old, inconsistent theory by treating the latter as a limiting approximation
TL;DR: Second year calculus as discussed by the authors covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus, and guides us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy to the dawn of a radically new and often counterintuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality.
Abstract: Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book guides us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality. The development of this process is discussed from the modern viewpoint of differential forms. Using this concept, the student learns to compute orbits and rocket trajectories, model flows and force fields, and derive the laws of electricity and magnetism. These exercises and observations of mathematical symmetry enable the student to better understand the interaction of physics and mathematics.
01 Jan 1992
TL;DR: In this paper, it was shown that in quantized general relativity one is led to Jordan-Fock type uncertainty relations implying the occurrence of cut-off lengths, and that these lengths represent limitations on the measurability of quantum effects of general relativity.
Abstract: It is demonstrated that in quantized general relativity one is led to Jordan-Fock type uncertainty relations implying the occurrence of cut-off lengths. We argue that these lengths (i) represent limitations on the measurability of quantum effects of general relativity and (ii) provide a cut-off length of quantum divergences.
TL;DR: There is no indication of time dilation of clocks or length contraction of rods in Marzke and Wheeler's clock or in Desloge's metrosphere as discussed by the authors, either.
Abstract: There is no indication of time dilation of clocks or of length contraction of rods in Marzke and Wheeler's clock or in Desloge's metrosphere.
TL;DR: An experiment to test Einstein's special relativir without involving ambiguities of the space-time concept and other theoretical bones of contention is proposed in this article, which is an experiment well within present tedmoloy#.
Abstract: An experiment to test Einstein's special relativir [Einstein, The Meaning of Relativity, 5th ed (Princeton UniversiOJ Press, 1956); H.A. Lorentz, A. Einstein, H. Minkowski, H. Weft, The Principle of Relativity, edited by HA. Lorentz (Oever, NE, 1923)] without involving ambiguities of the space-time concept and other theoretical bones of contention is proposed. It is an experiment well within present tedmoloy#. We also introduce an alternative theory of relativir [Phys. Essays 4, 68 (1991); 194; 532; 5, 159 (1992)], which is different from Einstein's special relativi(y, particularly on the foundational level, that is, the concept of space-time as well as the meaning of the relati~'tic transformation, and in its implications modifying classical force laws, for example, the electromagnetic force law. So far, no available experimental evidence can convincingly differentiate between Einstein's special relativi~ and the alternative theory. The proposed experimental test, however, will differentiate between these two theories of relativir
TL;DR: In this paper, a new reconstruction of special relativity (SR) is presented and the fundamental problems related to operationistic interpretation of SR and to research programs of kinematics are discussed in the new theoretical fashion.
Abstract: The new reconstruction of special relativity (SR) is presented. The question of length and time measurements forms the basic plane of our search. The question why Milne's procedure, applied to clocks synchronization by means of light signal, supersedes the Einsteinian procedure by means of moving clock, is elaborated. According to H. E. Ives' hints the consistency of velocity notion in SR is reanalysed. The justification of the light postulate from the point of view of measurement procedures and anti-absolutistic heuristics of SR is discussed. The new correspondence relation between SR and Ives' space-time theory is presented. The fundamental problems related to operationistic interpretation of SR and to research programmes of kinematics are discussed in the new theoretical fashion.