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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, the Heisenberg equations of motion for the spin-1/2 wave equation in general relativity were obtained by a covariant procedure, and they were found to be similar to the equations for a classical pole-dipole test-particle.
Abstract: The Heisenberg equations of motion for the spin-1/2 wave equation in general relativity are obtained by a covariant procedure. They are found to be similar to the equations of motion for a classical pole-dipole test-particle in general relativity. The identification is complete when the Heisenberg equations are taken to be satisfied by the respective expectation values.
21 citations
21 citations
TL;DR: In this paper, it is shown from the Lorentz transformation that all events are pre-determined and there is no free will in the existence of a future event, and that the future event can be arranged to have a negative time coordinate for A'.
Abstract: Two observers A and A' at a distance d apart synchronize their clocks to t = t' = 0 at what I shall call the critical time. They are in uniform relative motion, and one can show from the Lorentz transformation (quite correctly) the following result. Take any event E in A's future t > 0. Then, by choosing the velocity of A' appropriately, this event can be arranged to have a negative time coordinate for A'. Thus at the critical time t = t' = 0 the event seems to have already been determined in the sense of being there as far as A' is concerned [while A' is in A's present]. Nothing A can do, can influence the existence of this future event. It is (pre-)determined. We can find an observer A' for each future event E at all times on A's world-line, and for all observers A. Thus all events are determined and there is no free will. ([1], p. 80.)
21 citations
TL;DR: In this paper, the existence of solutions to the elastic field equations for small angular velocity was proved for both nonrelativistically and in special relativity, assuming a body to be in its natural state in the absence of rotation.
Abstract: We consider elastic bodies in rigid rotation, both nonrelativistically and in special relativity. Assuming a body to be in its natural state in the absence of rotation, we prove the existence of solutions to the elastic field equations for small angular velocity.
21 citations
TL;DR: In this article, the modified general relativity theory of Rastall, Al-Rawaf and Taha is discussed in both the radiation-and matter-dominated flat cosmological models.
Abstract: Aspects of the modified general relativity theory of Rastall, Al-Rawaf and Taha are discussed in both the radiation- and matter-dominated flat cosmological models. A nucleosynthesis constraint on the theory's free parameter is obtained and the implication for the age of the Universe is discussed. The consistency of the modified matter-dominated model with the neoclassical cosmological tests is demonstrated.
21 citations