Abstract
The author has recently shown that a mathematical question regarding the fundamental constituents of hardrons cannot be resolved unless the classical axioms of nonfinite mathematics are revised in such a way as to produce a new theory of particle motion in continuous space-time. Under this new theory, the instantaneous position of a moving object has a magnitude that is increasing as the object's velocity. The purpose of this paper is to show that, quite apart from the question of Cantorian axiomatics, the new theory of motion is more consistent with what physicists really believe than the traditional theory of motion.
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References
A. D. Allen,Inter. J. Theor. Phys. 9(4), 219 (1974).
A. D. Allen,Found. Phys. 3, 473 (1973).
H. N. Lee,Mind LXXIV, 296, 563–570 (1965); D. Moor,Mind LXXVII, 307, 430 (1968); L. Van Valen,Mind LXXVII, 307, 429 (1968); H. N. Lee,Mind LXXX, 318, 269 (1970).
J. R. Ballif and W. E. Dibble,Conceptual Physics: Matter in Motion (Wiley, New York, 1969), pp. 614–615.
G. Cantor,Contributions to the Founding of the Theory of Transfinite Numbers, P. B. Jordain, ed. (Open Court, Chicago, 1915).
F. Hausdorff,Mengenlehre (Dover Publ., New York, 1944);Grundzüge der Mengenlehre (Chelsea Publ., New York, 1949).
E. Kasner and J. Newman,Mathematics and the Imagination (Simon and Schuster, New York, 1940), pp. 204–207.
M. Richardson,Fundamentals of Mathematics, 3rd ed. (Macmillan, New York, 1941).
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Allen, A.D. Physical bases for a new theory of motion. Found Phys 4, 407–412 (1974). https://doi.org/10.1007/BF00708545
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DOI: https://doi.org/10.1007/BF00708545