Axiomatization of the Theory of Relativity PDF Download
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Author: Hans Reichenbach
Publisher: Univ of California Press
ISBN:
Category : Science
Languages : en
Pages : 228
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Book Description
Author: Hans Reichenbach
Publisher: Univ of California Press
ISBN:
Category : Science
Languages : en
Pages : 228
Get Book Here
Book Description
Author: Hans Reichenbach
Publisher:
ISBN:
Category :
Languages : en
Pages : 208
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Book Description
Author: J. W. Schutz
Publisher: Springer
ISBN: 3540379061
Category : Mathematics
Languages : en
Pages : 334
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Book Description
The aim of this monograph is to give an axiomatic development of Einstein's theory of special relativity from axioms which describe intuitive concepts concerning the kinematic behavior of inertial particles and light signals.
Author: Hans Reichenbach
Publisher:
ISBN:
Category : Relativity (Physics)
Languages : en
Pages : 208
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Book Description
Author: Marc van Loo
Publisher:
ISBN:
Category : Geometry, Differential
Languages : en
Pages : 68
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Book Description
Author: John W Schutz
Publisher: CRC Press
ISBN: 9780582317604
Category : Science
Languages : en
Pages : 260
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Book Description
The primary aim of this monograph is to clarify the undefined primitive concepts and the axioms which form the basis of Einstein's theory of special relativity. Minkowski space-time is developed from a set of independent axioms, stated in terms of a single relation of betweenness. It is shown that all models are isomorphic to the usual coordinate model, and the axioms are consistent relative to the reals.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Abstract: The axiomatization of physical theories is a fundamental issue of science. The first-order axiomatic system SpecRel for special relativity proposed recently by Andréka et al. is not enough to explain all the main results in the theory, including the twin paradox and energy-mass relation. In this paper, from a four-dimensional space-time perspective, we introduce the concepts of world-line, proper time and four-momentum to our axiomatic system SpecRel + . Then we introduce an axiom of mass (AxMass) and take four-momentum conservation as an axiom (AxCFM) in SpecRel + . It turns out that the twin paradox and energy-mass relation can be derived from SpecRel + logically. Hence, as an extension of SpecRel, SpecRel + is a suitable first-order axiomatic system to describe the kinematics and dynamics of special relativity.
Author: Hans Reichenbach
Publisher:
ISBN:
Category :
Languages : de
Pages : 208
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Book Description
Author: Elder Gaul Barter
Publisher:
ISBN:
Category : Relatividad (Fisica)
Languages : en
Pages : 160
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Book Description
Author: L. Corry
Publisher: Springer Science & Business Media
ISBN: 1402027788
Category : Science
Languages : en
Pages : 542
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Book Description
David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincaré, the last mathematical universalist. His main known areas of research and influence were in pure mathematics (algebra, number theory, geometry, integral equations and analysis, logic and foundations), but he was also known to have some interest in physical topics. The latter, however, was traditionally conceived as comprising only sporadic incursions into a scientific domain which was essentially foreign to his mainstream of activity and in which he only made scattered, if important, contributions. Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilbert’s intense, original, well-informed, and highly influential involvement with physics, that spanned his entire career and that constituted a truly main focus of interest in his scientific horizon. His program for axiomatizing physical theories provides the connecting link with his research in more purely mathematical fields, especially geometry, and a unifying point of view from which to understand his physical activities in general. In particular, the now famous dialogue and interaction between Hilbert and Einstein, leading to the formulation in 1915 of the generally covariant field-equations of gravitation, is adequately explored here within the natural context of Hilbert’s overall scientific world-view. This book will be of interest to historians of physics and of mathematics, to historically-minded physicists and mathematicians, and to philosophers of science.
