Abstract
Although the measurement of physical magnitudes in the quantum world is limited in precision and is statistical in nature, time is still a parameter in a deterministic equation of motion. Called the Schrödinger equation, it is symmetrical in time, just like classical and relativistic mechanics. Consequently, it appears that the quantum world is also a kind of unchanging Parmenides world that lacks a preferred time direction. But in a single case, making a quantum mechanical measurement provides evidence of an irreversible process during which the temporal symmetry is broken. Possible violations of time symmetry also emerge in quantum field theories, which describe the interactions of elementary particles. The question arises, Will it ever be possible to explain irreversible processes within the framework of cosmic evolution, supposing that a union between general relativity theory and quantum mechanics can be achieved? It is suspected that there is an intimate connection between this epistemological discussion of time and many current research topics, including quantum mechanical measurement processes, black holes, and the anthropic principle.
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Reference
D’Espagnat, Conceptual Foundations of Quantum Mechanics (Cambridge, Massachusetts: Perseus Publishing, 2nd ed. 1999); Jammer, The Philosophy of Quantum Mechanics: The Interpretations of Quantum Mechanics in Historical Perspective ( New York: John Wiley and Sons, 1974 ).
Audretsch and Mainzer, Wieviele Leben besitzt Schrödingers Katze? Zur Physik und Philosophie der Quantenmechanik (Heidelberg, Germany: Spektrum-Verlag, 2nd ed. 1996).
Everett, “’Relative State’ Formulation of Quantum Mechanics,” Reviews of Modern Physics 29 (1957): 454–62; Wheeler, “Assessment of Everett’s ‘Relative State’ Formulation of Quantum Mechanics,” Reviews of Modern Physics 29 (1957): 463–65.
Penrose and Newton, “Quantum Theory and Reality,” 300 Years of Gravity, eds. Hawking and Israel (Cambridge, Massachusetts: Cambridge University Press, 1987 ).
Misra and Sudarshan, “Zeno’s Paradox in Quantum Mechanics,” Journal of Mathematical Physics 18 (1977): 756.
Kwiat, Weinfurter, and Zeilinger, “Interaction-Free Measurement,” Physical Review Letters 74 (1995), 4763–66.
Schwinger, “A Report on Quantum Electrodynamics,” The Physicist’s Conception of Nature, ed. Mehra (Dordrecht, Netherlands/Boston: D. Reidel Publishing Company, 1973 ), 413–26.
Christenson, Cronin, Fitch, and Turlay, “Evidence for the 2er Decay of the K°2 Meson,” Physical Review Letters 134 (1964): 138–40.
Mainzer, Symmetries of Nature: A Handbook for Philosophy of Nature and Science ( New York: Walter De Gruyter, 1996 ), 441.
Von Weizsäcker, Aufbau der Physik ( Munich, Germany: Hanser, 1985 ), 390.
Greene, The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory (New York: W. W. Norton and Co., 1999); Mainzer, Symmetries of Nature: A Handbook for Philosophy of Nature and Science ( New York: Walter de Gruyter, 1996 ), 464.
Barrow and Tipler, The Anthropic Cosmological Principle ( New York: Oxford University Press, 1988 ).
Hartle and Hawking, “Wave Function of the Universe,” Physical Review D31 (1938); Hawking, A Brief History of Time: From the Big Bang to the Black Holes (New York: Bantam Doubleday Dell Publishers, 10th anniversary ed. 1998 ).
Linde, Inflation and Quantum Cosmology (New York: Academic Press, 1990); Linde, A., Linde, D., and Mezhlumian, “From the Bi Bang Theory to the Theory of a Stationary Universe,” Physical Review D 49 (1994): 1783–1826.
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Mainzer, K. (2002). Time and the Quantum World. In: The Little Book of Time. Little book series. Copernicus, New York, NY. https://doi.org/10.1007/978-1-4757-4332-6_4
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DOI: https://doi.org/10.1007/978-1-4757-4332-6_4
Publisher Name: Copernicus, New York, NY
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