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Special relativity (alternative formulations)
About: Special relativity (alternative formulations) is a research topic. Over the lifetime, 3102 publications have been published within this topic receiving 55015 citations.
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TL;DR: In this paper, it is shown that from a simple and elegant action it is possible to obtain: (i) the equations of classical dynamics, (ii) Schrodinger's equation, (iii) the dynamical equation of special relativity, (iv) scale-invariant gravitation including general relativity, and (v) the mathematical theory of the origin of matter, and the potential function of inflationary theory.
Abstract: It is shown that from a simple and elegant action it is possible to obtain: (i) the equations of classical dynamics, (ii) Schrodinger's equation, (iii) the dynamical equation of special relativity, (iv) scale-invariant gravitation including general relativity, (v) the mathematical theory of the origin of matter, and (vi) the potential function of inflationary theory. When the action term in question is related to the electromagnetic theory an ugly feature arises, however. There must be a multiplication by a small dimensionless number of order 10−38. If this ugly feature is to be avoided, matter must be taken to originate, not as particles observed in the laboratory but as Planck particles. The decay of each such particle into ≈ 1019 hadrons then explains the genesis of numbers of order 1038 that appear in physics and cosmology. It also raises questions concerning primordial nucleosynthesis which were discussed in the preceding paper.
20 citations
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01 Jan 2019TL;DR: In this article, the postulates of Special Relativity Time Dilation and Length Contraction Lorentz Transformations Addition of Velocities The Interval Circle Geometry Distance Trigonometry Triangle Trig Rotations Projections Addition Formulas Hyperbola Geometry Trigonometrical Geometry distance triangle trig rotations projections addition forms.
Abstract: Introduction Newton's Relativity Einstein's Relativity The Physics of Special Relativity Observers and Measurement The Postulates of Special Relativity Time Dilation and Length Contraction Lorentz Transformations Addition of Velocities The Interval Circle Geometry Distance Trigonometry Triangle Trig Rotations Projections Addition Formulas Hyperbola Geometry Trigonometry Distance Triangle Trig Rotations Projections Addition Formulas The Geometry of Special Relativity The Surveyors Spacetime Diagrams Lorentz Transformations Space and Time Dot Product Applications Drawing Spacetime Diagrams Addition of Velocities Length Contraction Time Dilation Doppler Shift Problems I Practice The Getaway Angles are not Invariant Interstellar Travel Cosmic Rays Doppler Effect Paradoxes Special Relativity Paradoxes The Pole and Barn Paradox The Twin Paradox Manhole Covers Relativistic Mechanics Proper Time Velocity Conservation Laws Energy Useful Formulas Problems II Mass isn't Conserved Colliding Oarticles I Colliding Oarticles II Colliding Oarticles III Colliding Oarticles IV Relativistic Electromagnetism Magnetism from Electricity Lorentz Transformations Vectors Tensors The Electromagnetic Field Maxwell's Equations The Unification of Special Relativity Problems III Electricity vs. Magnetism I Electricity vs. Magnetism II Beyond Special Relativity Problems with Special Relativity Tidal Effects Differential Geometry General Relativity Uniform Acceleration and Black Holes Hyperbolic Geometry Non-Euclidean Geometry The Hyperboloid The Poincare Disk The Klein Disk The Pseudosphere Calculus Circle Trigonometry Hyperbolic Trigonometry Exponentials (and Logarithms) Bibliography
20 citations
TL;DR: In this paper, the equations of motion and spin are calculated to the second approximation by the Lorentz-covariant method in general relativity and the results are derived from the field outside the particle.
Abstract: The equations of motion and spin are calculated to the second approximation by the Lorentz-covariant method in general relativity. The results are derived from the field outside the particle. (C.J.G.)
20 citations
TL;DR: In this paper, the relation between the general theory of relativity and the Einstein-Cartan theory in the case that matter is described by a Dirac field was considered and the condition that an (arbitrary) solution of general relativity with Dirac fields is also a solution of the ECCD theory and vice versa.
Abstract: Considers the relation between the general theory of relativity and the Einstein-Cartan theory in the case that matter is described by a Dirac field. Thereby the author finds the condition that an (arbitrary) solution of general relativity with a Dirac field is also a solution of the Einstein-Cartan-Dirac theory and vice versa. Exploiting this result the author generates new non-ghost solutions of the Einstein-Cartan-Dirac theory from ghost solutions of general relativity.
20 citations
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TL;DR: In this article, a recent article claims that the Lorentz force law is incompatible with special relativity and discusses the "paradox" on which this claim is based, and the resolution depends on whether one assumes a "Gilbert" model for the magnetic dipole (separated monopoles) or the standard "Ampere" model (current loop).
Abstract: A recent article claims that the Lorentz force law is incompatible with special relativity. We discuss the "paradox" on which this claim is based. The resolution depends on whether one assumes a "Gilbert" model for the magnetic dipole (separated monopoles) or the standard "Ampere" model (current loop). The former was presented in these pages many years ago; the latter requires the inclusion of "hidden momentum."
20 citations