Abstract
This chapter outlines special relativity with emphasis on its notions of time, space, spacetime, frames, observers, clocks and ‘rods’ (including other length-measuring devices such as interferometers). Alongside introducing the laws of physics that the rest of the book works with, these are the focal topics of our preamble chapters 1 to 8. These chapters jointly provide detailed lists of temporal concepts and properties, along with the extent to which these are realized in each accepted paradigm of physics. The current chapter on special relativity concentrates in particular on
-
A)
how time and these other focal notions differ from the Newtonian paradigm’s, in particular as regards simultaneity, causality and the joint geometrization of space and time as spacetime.
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B)
That, none the less, passage from the Newtonian paradigm to the special relativistic one involves trading one set of absolute structures for another; it is general relativity, rather, which frees physics from absolute structures.
This chapter also contains this book’s Newtonian and special-relativistic exercises.
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- 1.
See also Fig. 4.1 in this regard.
- 2.
This is using the \([ct, \underline{x}]\) version of dimensionally-homogeneous coordinates.
- 3.
Time reflections are usually physically undesirable. Space reflections are usually included (see Appendix E).
- 4.
[ ] denotes antisymmetrization of the enclosed indices and ( ) denotes symmetrization.
- 5.
Since this occurred in 1905, we mean all the other classical laws of Nature known at that point.
- 6.
This is the European continuation of the Laser Interferometer Space Antenna (LISA) project: an upcoming space mission to probe for gravitational waves; see Chap. 7 for more.)
References
Anderson, J.L.: Principles of Relativity Physics. Academic Press, New York (1967)
Bacry, H., Lévy-Leblond, J.-M.: Possible kinematics. J. Math. Phys. 9, 1605 (1968)
Bridgman, P.W.: The Logic of Modern Physics. MacMillan, New York (1927)
Bridgman, P.W.: A Sophisticate’s Primer of Relativity. Routledge, London (1963)
Broad, C.D.: Scientific Thought. Routledge, London (1923)
Carroll, L.: Through the Looking Glass. MacMillan & Co., London (1871)
Ehlers, J.: Machian ideas and general relativity. In: Barbour, J.B., Pfister, H. (eds.) Mach’s Principle: From Newton’s Bucket to Quantum Gravity. Birkhäuser, Boston (1995)
Einstein, A.: On the electrodynamics of moving bodies. Ann. Phys. (Ger.) 17, 891 (1905); The English translation is available in e.g. The Principle of Relativity. Dover, New York (1952), formerly published by Methuen, London (1923)
Einstein, A.: Autobiographical notes. In: Schilpp, P.A. (ed.) Albert Einstein: Philosopher–Scientist. Library of Living Scientists, Evanston (1949)
Einstein, A.: Lecture before the Prussian Academy of Sciences, 27 January 1921
Geroch, R.P.: General Relativity from A to B. University of Chicago Press, Chicago (1978)
Jammer, M.: Concepts of Space: The History of Theories of Space in Physics, 3rd edn. Dover, New York (1993)
Jammer, M.: Concepts of Simultaneity. From Antiquity to Einstein and Beyond. Johns Hopkins University Press, Baltimore (2006)
Kiefer, C.: Concept of time in canonical quantum gravity and string theory. J. Phys. Conf. Ser. 174, 012021 (2009)
Lachièze-Rey, M.: In search of relativistic time. arXiv:1312.2866
Lévy-Leblond, J.-M.: Une Nouvelle Limite Non-Relativiste du Groupe de Poincaré [A new non-relativistic limit of Poincaré’s group]. Ann. Inst. Henri Poincaré A 3, 1 (1965)
Marzke, R.F., Wheeler, J.A.: Gravitation as geometry—I: the geometry of the space-time and the geometrodynamical standard meter. In: Chiu, H.Y., Hoffman, W.F. (eds.) Gravitation and Relativity. Benjamin, New York (1964)
Minkowski, H.: Space and Time. Address delivered at 80th Assembly of German Natural Scientists and Physicians at Cologne 21 September 1908; The English translation is available in The Principle of Relativity. Dover, New York (1952), formerly published by Methuen, London (1923)
Muga, G., Sala Mayato, R., Egusquiza, I. (eds.): Time in Quantum Mechanics, vol. 1. Springer, Berlin (2008)
Muga, G., Sala Mayato, R., Egusquiza, I. (eds.): Time in Quantum Mechanics, vol. 2. Springer, Berlin (2010)
Poincaré, H.: La Mesure du Temps [The measure of time]. Rev. Métaphys. Morale 6, 1 (1898)
Reichenbach, H.: The Philosophy of Space and Time. Dover, New York (1950)
Rindler, W.: Relativity. Special, General and Cosmological. Oxford University Press, Oxford (2001)
Taylor, E.F., Wheeler, J.A.: Spacetime Physics. Freeman, San Francisco (1966)
Wald, R.M.: General Relativity. University of Chicago Press, Chicago (1984)
Whitrow, G.J.: The Natural Philosophy of Time. Nelson, London (1961)
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Anderson, E. (2017). Time, Space, Spacetime and Laws in Special Relativity. In: The Problem of Time. Fundamental Theories of Physics, vol 190. Springer, Cham. https://doi.org/10.1007/978-3-319-58848-3_4
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