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Abstract

The quantum net unifies the basic principles of quantum theory and relativity in a quantum spacetime having no ultraviolet infinities, supporting the Dirac equation, and having the usual vacuum as a quantum condensation. A correspondence principle connects nets to Schwinger sources and further unifies the vertical structure of the theory, so that the functions of the many hierarchic levels of quantum field theory (predicate algebra, set theory, topology,..., quantum dynamics) are served by one in quantum net dynamics.

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References

  • Alexandroff, A. (1956). The space-time of the theory of relativity.Helvetica Physica Acta Supplementum,4, 44–45.

    Google Scholar 

  • Bergmann, P. G. (1967). Two-component spinors in general relativity.Physical Review,107, 624–629.

    Google Scholar 

  • Das, A. (1989). Quantized phase space and relativistic quantum theory. InSpacetime Sym-metries, Y. S. Kim and W. W. Zachary, eds.Nuclear Physics B (Proceedings Supplement) 6.

  • De Witt, B. (1984).Supermanifolds. Cambridge University Press, Cambridge.

    Google Scholar 

  • Feynman, R. P. (1972). The development of the space-time view of quantum electrodynamics. InNobelstiftelse, Nobel Lectures-Physics-1963–1970, Elsevier, Amsterdam.

    Google Scholar 

  • Feynman, R. P., and Hibbs, A. R. (1965).Quantum Mechanics Via Path Integrals, McGraw-Hill, New York, Chapter 2.

    Google Scholar 

  • Finkelstein, D. (1969). Space-time code.Physical Review,184, 1261–1271.

    Google Scholar 

  • Finkelstein, D. (1986). Hyperspin and hyperspace.Physical Review Letters,56, 1532–1533.

    Google Scholar 

  • Finkelstein, D. (1987). “Superconducting” causal nets.International Journal of Theoretical Physics,27, 473–519.

    Google Scholar 

  • Finkelstein, D., and Rodriguez, E. (1984). The quantum pentacle.International Journal of Theoretical Physics,23, 1065.

    Google Scholar 

  • Finkelstein, D., Jaunch, J. M. and Speiser, D. (1959). Notes on quaternion quantum mechanics I, II, III. European Centre for Nuclear Research Reports 59-7, 11, 17 [reprinted in C. A. Hooker,The Logico-Algebraic Approach to Quantum Mechanics, II (Reidel, Dordrecht, Holland(1979)].

    Google Scholar 

  • Holm, C. (1989). The hyperspin structure of unitary groups.Journal of Mathematical Physics, in press.

  • Peano, G. (1888).Calcolo geometrico secondo l'Ausdehnungslehre di H. Grassmann, proceduto dalle operazioni della logica deduttiva, Bocca, Turin, Italy [partially translated in H. C. Kennedy,Selected Works of Giusseppe Peano (University of Toronto, Toronto, Canada, 1973)].

    Google Scholar 

  • Peirce, C. S. (1868a). On an improvement in Boole's calculus of logic.Proceedings of the American Academy of Arts and Sciences,7, 250–261, reprinted in Peiru (1931–1935).

    Google Scholar 

  • Peirce, C. S. (1868b). Upon the logics of mathematics.Proceedings of the American Academy of Arts and Sciences,7, 402–412, reprinted in Peiru (1931–1935).

    Google Scholar 

  • Peirce, C. S. (1931–1935).The Collected Papers of Charles Sanders Peirce, I–IV, C. Hartshorne and P. Weiss, eds., Harvard University Press, Cambridge, Massachusetts.

    Google Scholar 

  • Penrose, R. (1971). Angular momentum: An approach to combinatorial space-time. InQuantum Theory and Beyond, T. Bastin, eds. Cambridge University Press, Cambridge.

    Google Scholar 

  • Schwinger, J. (1970).Particles, Sources, and Fields, Addison-Wesley.

  • Snyder, H. P. (1947). Quantized space-time.Physical Review,71, 38

    Google Scholar 

  • Susskind, L. (1977). Lattice fermions.Physical Review D,16, 3031.

    Google Scholar 

Download references

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Finkelstein, D. Quantum net dynamics. Int J Theor Phys 28, 441–467 (1989). https://doi.org/10.1007/BF00673296

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  • DOI: https://doi.org/10.1007/BF00673296

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