Abstract
It is postulated there is not a precise static instant in time underlying a dynamical physical process at which the relative position of a body in relative motion or a specific physical magnitude would theoretically be precisely determined. It is concluded it is exactly because of this that time (relative interval as indicated by a clock) and the continuity of a physical process is possible, with there being a necessary trade off of all precisely determined physical values at a time, for their continuity through time. This explanation is also shown to be the correct solution to the motion and infinity paradoxes, excluding the Stadium, originally conceived by the ancient Greek mathematician Zeno of Elea. Quantum Cosmology, Imaginary Time and Chronons are also then discussed, with the latter two appearing to be superseded on a theoretical basis.
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REFERENCES
J. A. Wheeler and W. H. Zureck, eds., Quantum Theory and Measurement (Princeton University Press, 1983).
P. C. W. Davies, About Time: Einstein's Unfinished Revolution (Viking, London, 1995).
S. W. Hawking, “Quantum Cosmology,” in 300 Years of Gravitation, S. W. Hawking and W. Israel, eds. (Cambridge University Press, 1997).
H. D. Zeh, The Physical Basis of the Direction of Time (Springer, Berlin, 1989).
J. B. Hartle and S. W. Hawking, “Wave function of the universe,” Phys. Rev. D 28, 2960 (1983).
S. W. Hawking, Black Holes and Baby Universes (Bantam Press, London, 1993).
T. Yulsman, “Give peas a chance,” Astronomy, September 1999, p. 38.
K. J. Hsu, “In search of a physical theory of time,” Proc. Nat. Acad. Sci. U.S.A. 89, 10222 (5) (1992).
A. Einstein, “On the electrodynamics of moving bodies,” in H. A. Lorentz, et al., The Principle of Relativity (Methuen, London, 1923; reprinted by Dover, New York).
R. Morris, Achilles in the Quantum Universe (Redwood Books, Trowbridge, Wiltshire, 1997).
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Lynds, P. Time and Classical and Quantum Mechanics: Indeterminacy Versus Discontinuity. Found Phys Lett 16, 343–355 (2003). https://doi.org/10.1023/A:1025361725408
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DOI: https://doi.org/10.1023/A:1025361725408