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Relativity and the Dimensionality of the World (eBook)

Vesselin Petkov (Herausgeber)

eBook Download: PDF
2007 | 2007
XVI, 277 Seiten
Springer Netherland (Verlag)
978-1-4020-6318-3 (ISBN)

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The main focus of this volume is the question: is spacetime nothing more than a mathematical space (which describes the evolution in time of the ordinary three-dimensional world) or is it a mathematical model of a real four-dimensional world with time entirely given as the fourth dimension? The book contains fourteen invited papers which either directly address the main question of the nature of spacetime or explore issues related to it.


All physicists would agree that one of the most fundamental problems of the 21st century physics is the dimensionality of the world. In the four-dimensional world of Minkowski (or Minkowski spacetime) the most challenging problem is the nature of the temporal dimension. In Minkowski spacetime it is merely one of the four dimensions, which means that it is entirely given like the other three spacial dimensions. If the temporal dimension were not given in its entirety and only one constantly changing moment of it existed, Minkowski spacetime would be reduced to the ordinary three-dimensional space.But if the physical world, represented by Minkowski spacetime, is indeed four-dimensional with time being the fourth dimension, then such a world is drastically different from its image based on our perceptions. Minkowski four-dimensional world is a block Universe, a frozen world in which nothing happens since all moments of time are given 'at once', which means that physical bodies are four-dimensional worldtubes containing the whole histories in time of the three-dimensional bodies of our everyday experience. The implications of a real Minkowski world for physics itself and especially for our world view are enormous.The main focus of this volume is the question: is spacetime nothing more than a mathematical space (which describes the evolution in time of the ordinary three-dimensional world) or is it a mathematical model of a real four-dimensional world with time entirely given as the fourth dimension? It contains fourteen invited papers which either directly address the main question of the nature of spacetime or explore issues related to it.

Preface
1. The Meaning of Dimensions; Paul Wesson.
2. Some Remarks on the Space-Times of Newton and Einstein; Graham Hall.
3. The adventures of Spacetime; Orfeu Bertolami.
4. Physics in the Real Universe: Time and Spacetime; George F. R. Ellis.
5. The Real World and Spacetime; Hans C. Ohanian.
6. Four-dimensional Reality and Determinism: an Answer to Stein; Wim Rietdijk.
7. Relativity, Dimensionality, and Existence; Vesselin Petkov.
8. Canonical Relativity and the Dimensionality of the World; Martin Bojowald.
9. Relativity theory does not imply that the future already exists: a counterexample; Rafael D. Sorkin.
10. Absolute Being versus Relative Becoming; Joy Christian.
11. An Argument for 4D Blockworld from a Geometric Interpretation of Non-relativistic Quantum Mechanics; Michael Silberstein, W.M. Stuckey, and Michael Cifone.
12. Spacetime: Arena or Reality? H. I. Arcos and J. G. Pereira.
13. Dynamical emergence of instantaneous 3-spaces in a class of models of general relativity; Luca Lusanna and Massimo Pauri.
14. Lorentzian spacetimes from Parabolic and Elliptic systems of PDEs; Carlos Barceló.

Erscheint lt. Verlag 8.10.2007
Reihe/Serie Fundamental Theories of Physics
Fundamental Theories of Physics
Zusatzinfo XVI, 277 p.
Verlagsort Dordrecht
Sprache englisch
Themenwelt Geisteswissenschaften Philosophie Erkenntnistheorie / Wissenschaftstheorie
Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Astronomie / Astrophysik
Naturwissenschaften Physik / Astronomie Relativitätstheorie
Naturwissenschaften Physik / Astronomie Theoretische Physik
Technik
Schlagworte four-dimensional reality • General relativity • Lorentzian space-time • Minkowski space • Minkowski spacetime • non-relativistic quantum mechanics • quantum mechanics • Relativity • temporal dimension • Theory of relativity • Universe
ISBN-10 1-4020-6318-0 / 1402063180
ISBN-13 978-1-4020-6318-3 / 9781402063183
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