Abstract
Nonlocal characteristic of quantum mechanics as demonstrated in a simultaneous correlation of polarized particles at different spatial locations1) suggests that simultaneous specifiability of nonlocal boundary conditions serves as a good approximation to reality2). The quantum mechanical equation of motion of the wavefunction preserves the symmetry property observed within the nonlocal boundary conditions. However, nothing propagates at superluminal velocities as Bell’s inequalities would imply3). One thus observes that if boundary conditions are claimed to be completely and globally specifiable in a simultaneous manner, something would have to be propagated at an infinite velocity in order to guarantee the claimed global specifiability that is of course nonlocal. On the other hand, if simultaneous specifiability of nonlocal boundary conditions is abandoned as it should be and if the locality implying that nothing propagates at superluminal velocities is correctly observed boundary conditions would have to become necessarily vague and indefinite4).
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References
Aspect, A., Grangier, P., and Roger, G., 1981. Experimental tests of realistic local thories via Bell’s theorem, Phys. Rev. Lett. 47, 460.
Matsuno, K., 1989. Nonlocality and localizability in quantum mechanics, Ann.Fond.Louis de Broglie 14, 233.
Bell, J. S., 1989. Speakable and Unspeakable in Quantum Mechanics 1987. (Cambridge University Press, London).
Matsuno, K., 1989. Protobiology: Physical Basis of Biology (CRC Press, Boca Raton, Florida).
Aspect, A., and Grangier, P., 1983. Experiment on Einstein-Podolsky-Rosen type correlations with pairs of visible photons, in Proc. Int. Symp. on Foundation of Quantum Mechanics, Kamefuchi, S., et al Eds. (Phys. Soc. Japan, Tokyo), p. 214.
Matsuno, K., 1985. How can quantum mechanics of material evolution be possible?: symmetry and symmetry-breaking in protobiological evolution, BioSystems 17, 179.
Conrad, M., 1983. Adaptability: The Significance of Variability from Molecule to Ecosystem (Plenum, New York), chap. 2.
Lochak, G., 1981. Irreversibility in physics: reflections on the evolution of ideas in mechanics and the actual crisis in physics, Found. Phys. 11, 593.
Mehlberg, H., 1980. Time, Causality, and the Quantum Theory, Vol.1 (D. Reidel, Boston), chaps. 7 and 9.
Slack, J. M. W., 1983. From Egg to Embryo: Determinative Events in Early Development (Cambridge University Press, Cambridge) chaps. 1 and 2.
Watanabe, S., 1966. Time and the probabilistic view of the world, in The Voices of Time, Fraser, J. T., Ed. (Braziller, New York) p. 527.
Denbigh, K. G., 1981. Three Concepts of Time (Springer-Verlag, Berlin), chaps. 6, 7 and 8.
Schulman, L. S., 1986. Deterministic quantum evolution through modification of the hypotheses of statistical mechanics, J. Stat. Phys. 42, 689
Wheeler, J. A., and Feynman, R. P., 1949. Classical electrodynamics in terms of direct interparticle action, Rev. Mod. Phys. 21, 425.
Matsuno, K., 1984. Determinism and freedom in early evolution, in Individuality and Determinism: Chemical and Biological Bases, Fox, S. W., Ed. (Plenum, New York), p. 203.
Matsuno, K., 1984. Is matter inanimate: protobiological information from within, Origins Life 14, 489.
Miller, S. and Orgel, L. E., 1974. The Origin of Life on the Earth (Prentice-Hall, Englewood Cliffs, New Jersey).
Fox, S. W., 1988. The Emergence of Life: Darwinian Evolution from the Inside (Basic Books, New York).
Courbage, M., and Prigogine, I., 1983. Intrinsic randomness and intrinsic irreversibility in classical dynamical systems, Proc. Natl. Acad. Sci. USA 80, 2412.
Anderson, P. W., 1983, Suggested model for prebiotic evolution: The use of chaos, Proc. Natl. Acad. Sci. USA 80, 3386.
Stein, L. D., 1984. A model for the origin of biological information, Int. J. Quant. Chem. QBS-11, 73.
Vrba, E. S., and Eldredge, N., 1984. Individuals, hierarchies and processes: towards a more complete evolutionary theory, Paleobiology 19, 146.
Bernstein, H., Byerly, H. C., Hopf, F., Michod, R. A., and Vemulapalli, G. K., 1983. The Darwinian dynamic, Quart. Rev. Biol. 58, 185.
Goodwin, B. C., 1984. A relational or field theory of reproduction and its evolutionary implications, in Beyond Neo-Darwinism, Ho, M. W., and Saunders, P. T., Eds. (Academic Press, London), p. 219.
Matsuno, K., 1984. Open systems and the origin of protoreproductive units, in Beyond Neo-Darwimism, Ho, M. W., and Saunders, P. T., Eds. (Academic Press, London), p. 61.
Lohrmann, R., Bridson, P. K., and Orgel, L. E., 1980. Efficient metal-ion catalyzed template-direct oligonucleotide synthesis, Science 208, 1464.
Biebricher, C. K., 1983. Darwinian selection of self-replicating RNA molecules, in Evolutionary Biology, Vol. 16, Hechet, M. K., Wallace, B., and Prance, C. T., Eds. (Plenum, New York), p. 1.
Eigen, M., and Schuster, P., 1982. Stages of emergence of life - five principles of early evolution, J. Mol. Evol. 19, 47.
Morowitz, H., 1978. Foundations of Bioenergetics (Academic Press, New York).
Koch, A. L., 1985. Primeval cell: possible energy-generating and cell-division mechanisms, J. Mol. Evol. 21, 270.
Douglas, J., 1984. Hypothetical entropy-driven mechanism for self-regulation of the size and division of primitive cells suggesting the origin and nature of mesosomes, J. Theor. Biol. 109, 475.
Deamer, D. W., and Oro, J., 1980. Role of lipids in prebiotic structures, BioSystems 12, 167.
Pattee, H. H., 1979. The complementarity principle and the origin of macromolecular information, BioSystems 11, 259.
Weiss, A., 1981; Replication and evolution in inorganic systems, Angew. Chem. Int. Ed. Engl. 20, 850.
Rosen, R., 1985. The physics of complexity, Syst. Res. 2, 171.
Mayr, E., 1980. Prologue: some thoughts on the history of the evolutionary synthesis, in The Evolutionary Synthesis, Mayr, E., and Provine, W. B., Eds. (Harvard University Press, Cambridge), p. 1.
Pullman, A., and Pullman, B., 1981. in Chemical Applications of Atomic and Molecular Electrostatic Potentials, Politzer, P., and Truhiar, D. G., Eds. (Plenum, New York), p. 381.
Goodman, M., 1981. Decoding the pattern of protein evolution, Progr. Biophys. Molec. Biol. 37, 105.
Ayala, F. J., 1986. On the virtues and pitfalls of the molecular evolutionary clock, J. Hered. 77, 226.
Odum, E. P., 1971. Fundamentals of Ecology, 3rd Ed. (Saunders, W. B., Philadelphia).
Matsuno, K., 1989. Cell motility: an interplay between local and nonlocal measurement, BioSystems 22, 117.
Hiramoto, Y., and Baba, S. A., 1978. A quantitative analysis of flagellar movement in echinoderm spermatozoa, J. Exp. Biol. 76, 85.
Harada, Y., Noguchi, A., Kishino, A., and Yanagida, T., 1987. Sliding movement of single actin filamerts on one-headed myosin filaments, Nature 326, 805.
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Matsuno, K. (1990). Nonlocality and Symmetry in Quantum Mechanics versus Localizability and Symmetry-Breaking In Protobiology. In: Gruber, B., Yopp, J.H. (eds) Symmetries in Science IV. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0597-2_6
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DOI: https://doi.org/10.1007/978-1-4613-0597-2_6
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