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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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Book•
02 Apr 2012
TL;DR: In this article, Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativistic and its relation to Newtonian gravitation theory.
Abstract: In "Topics in the Foundations of General Relativity and Newtonian Gravitation Theory", David B. Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativity and its relation to Newtonian gravitation theory. These special topics include the geometrized formulation of Newtonian theory (also known as Newton-Cartan theory), the concept of rotation in general relativity, and Godel spacetime. One of the highlights of the book is a no-go theorem that can be understood to show that there is no criterion of orbital rotation in general relativity that fully answers to our classical intuitions. "Topics" is intended for both students and researchers in mathematical physics and philosophy of science.
222 citations
217 citations
TL;DR: In this article, a logical introduction to superluminal reference frames is given, along with a group of generalized relativistic Lorentz transformations (GLT) elements.
Abstract: 210 1. Foreword. 211 2. Historical remarks. 212 3. Special relativity revisited: logical introduction to Superluminal reference frames. 212 3\"1. Postulates. 213 3\"2. Duali ty principle. 214 3\"3. Four-vector properties. 215 3\"4. Superluminal inertial frames. 215 3\"5, Generalized relativistic transformations. 217 3\"6. Four-momentum. 218 3\"7. Conservation laws. 218 4. Group G of g~'neralized Lorentz transformations (GLT). 218 4\"1. The group elements. 219 4\"2. Tensors. 220 4\"3. Transcendent transformations. 222 4\"4. GLT's matricial form. 223 4\"5. Physical meaning (if the four subsets of G. 227 4\"6. Par~meU'ization of the elements of G. 229 5. Generalized velocity composition law. 231 6. Geometrical interpretat ion of GLT's. Comparison of space and time intervals. 235 7. Ant imat ter and tachyons. A (~third postulate,): the Dirac-StiickelbergFeynmau-Sudarshan <~reinterpretation principle )) (RIP). 235 7\"1. Bradyons, luxons, tachyons. 236 7\"2. Four-momentum space. 238 7\"3. The ((reinterpretation principle)): the thi rd postulate.
214 citations
212 citations