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Four-force
About: Four-force is a research topic. Over the lifetime, 3459 publications have been published within this topic receiving 87308 citations.
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TL;DR: In this paper, it was shown that if Yang's quantized space-time model is completed at both classical and quantum level, it should contain both Snyder's model, the de Sitter special relativity and their duality.
38 citations
TL;DR: In this article, a relation between the transports of Fermi-Walker and Levi-Civita in special relativity is pointed out and a well-known example of the Thomas-Wigner angle is derived in a completely frame-independent manner using Clifford algebra.
Abstract: After a general discussion of the physical significance of holonomy group transformations, a relation between the transports of Fermi–Walker and Levi–Civita in special relativity is pointed out. A well‐known example—the Thomas–Wigner angle—is rederived in a completely frame‐independent manner using Clifford algebra.
38 citations
TL;DR: In this paper, a nonlocal theory of accelerated systems is presented that reduces to the standard theory in the limit of small accelerations, and the main consequences of nonlocal special relativity are briefly outlined.
Abstract: In the special theory of relativity, Lorentz invariance is extended in Minkowski spacetime from ideal inertial observers to actual observers by means of the hypothesis of locality, which postulates that accelerated observers are always pointwise inertial. A critical examination of the locality assumption reveals its domain of validity: it is true for pointwise coincidences, but is in conflict with wave-particle duality. To remedy this situation, a nonlocal theory of accelerated systems is presented that reduces to the standard theory in the limit of small accelerations. Some of the main consequences of nonlocal special relativity are briefly outlined.
38 citations
37 citations