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Space-Time Code. II
Phys. Rev. D 5, 320 – Published 15 January, 1972
DOI: https://doi.org/10.1103/PhysRevD.5.320
Abstract
Quantum concepts can be applied to space-time processes to make a quantum (q) theory that is free of the possibility of divergencies inherent in classical continuum theories, yet causal, Lorentz-invariant, and asymptotically Poincaré-invariant for large times. A general technique, algebraic quantization, is provided for going from classical (c) paradigms, typically discrete logical structures, to q analogs. Applied to the two-dimensional c checker-board, algebraic quantization gives a q theory of time and space asymptotic to the four-dimensional Minkowski c theory in the limit of large time. Applied to the simplest dynamics on such a checkerboard, a piece that makes the same move again and again, algebraic quantization gives a q dynamics asymptotic to a massless spin-½ two-component dynamics in the same limit. The quantum of time, if it exists, must have spin ½. Some features of general relativity such as curvature seem plausible consequences of a quantum theory of space-time processes.
References (7)
- D. Finkelstein, Phys. Rev. 184, 1261 (1969) in Boston Studies in the Philosophy of Science, edited by R. S. Cohen, Vol. 4 (1968)
- Milič Čapek, Philosophical Impact of Contemporary Physics (Van Nostrand, New York, 1961), Chap. 13 H. Snyder, Phys. Rev. 79, 38 (1947) C. F. von Weizsäcker, Naturwiss. 20, 545 (1955) E. J. Zimmerman, Am. J. Phys. 30, 97 (1962) R. Giles and H. Kummer, Queens University, Kingston Report No. 1970-12 (unpublished) C. Piron, Helv. Phys. Acta 42, 330 (1969)
- ([1])
- Collected in Selected Papers on Quantum Electrodynamics, edited by J. Schwinger (Dover, New York, 1958)
- I. E. Segal, Mathematical Problems of Relativistic Physics (Am. Math. Soc., 1963) D. Finkelstein, in Paradoxes and Paradigms, edited by R. G. Colodney (Pittsburgh Univ. Press, Pittsburgh, Pa., 1972) [1] D. FinkelsteinTrans. N. Y. Acad. Sci. 25, 621 (1963)
- ([1])
- ([1]) ([1]) D. Finkelstein, in Fundamental Interactions at High Energy I, based on the proceedings of the 1969 Coral Gables Conference on Fundamental Interactions at High Energy, edited by T. Gudehus, G. Kaiser, and A. Perlmutter (Gordon and Breach, New York, 1969), p. 324 ([1])