Skip to main content
Log in

Spacetime code: Preliminaries and motivations

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

A review of the work of David Finkelstein and others on quantum topology is given, the intention being to present physical ideas and a progress report, which will help readers with the more detailed papers. Some new approaches involving walks on graphs are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. David Finkelstein, Part I,Phys. Rev. 184, 1261 (1969); II,Phys. Rev. D 5, 320 (1972);III,Phys. Rev. D 5, 2922 (1972); IV,Phys. Rev. D 9, 2219 (1974); V, David Finkelstein, Graham Frye, and Leonard Susskind,Phys. Rev. D 9, 2231 (1974); VI, David Finkelstein and Gin McCollum, Discrete Feynman Diagrams, inQuantum Theory and the Structures of Time and Space, to appear.

    Google Scholar 

  2. David Finkelstein, inPhysical Reality and Mathematical Description (The Jauch Festschrift), C. Enz and J. Mehra, eds. (Reidel, Dordrecht, 1974); David Finkelstein and Gin McCollum, inQuantum Theory and the Structures of Time and Space (The Feldafing Volume), L. Castell, M. Drieschner, and C. F. von Weizsaecker, eds. (Carl Hanser Verlag, Muenchen, 1975).

    Google Scholar 

  3. Roger Penrose,J. Math. Phys. 8, 345 (1967);Int. J. Theor. Phys. 1, 61 (1968); inBattelle Rencontres 1967, C. M. DeWitt and J. A. Wheeler, eds. (Benjamin, New York, 1968); inQuantum Theory and Beyond, T. Bastin, ed. (Cambridge Univ. Press, 1971); inMagic without Magic: John Archibald Wheeler, J. R. Klauder, ed. (Freeman, San Francisco, 1972); Roger Penrose and M. A. H. MacCallum,Phys. Rep. 6C, 242 (1973); Roger Penrose, inGroup Theory in Non-Linear Problems, A. O. Barut, ed. (Reidel, Dordrecht, 1974).

    Google Scholar 

  4. C. F. von Weizsaecker,Naturwiss. 38, 533 (1951);20, 545 (1955); inQuantum Theory and Beyond, T. Bastin, ed. (Cambridge Univ. Press, 1971); inThe Physicist's Conception of Nature, J. Mehra, ed. (Reidel, Dordrecht, 1973);Br. J. Phil. Sci. 24, 321 (1973); inPhysical Reality and Mathematical Description, C. Enz and J. Mehra, eds. (Reidel, Dordrecht, 1974).

    Google Scholar 

  5. Peter G. Bergmann and Ralph Schiller,Phys. Rev. 89, 4 (1953); Peter G. Bergmann,Helv. Phys. Acta Suppl. IV, 79 (1956).

    Google Scholar 

  6. Arthur Komar, inProceedings of the International Conference on Relativistic Theories of Gravitation, Vol. II (London, 1965);Phys. Rev. 134, B1430 (1964).

  7. P. A. M. Dirac,Can. J. Math. 2, 129 (1950);3, 1 (1951).

    Google Scholar 

  8. Julian Schwinger,Phys. Rev. 82, 914 (1951);127, 324 (1962);130, 406 (1962);130, 800 (1962);130, 1253 (1962).

    Google Scholar 

  9. Bryce S. DeWitt,Dynamical Theory of Groups and Fields (Gordon and Breach, New York, 1965).

    Google Scholar 

  10. D. R. Brill and R. H. Gowdy,Rep. Prog. Phys. 33, 413 (1970).

    Google Scholar 

  11. J. Wess and B. Zumino,Nucl. Phys. B70, 39 (1974).

    Google Scholar 

  12. Bruno Zumino, Effective Lagrangians and Broken Symmetries, inLectures on Elementary Particles and Quantum Field Theories (1970 Brandeis University Summer Institute in Theoretical Physics), Vol. 2, S. Deser, M. Grisaru, and H. Pendleton, eds. (MIT Press, Cambridge, Mass., 1970).

    Google Scholar 

  13. David Finkelstein, inBoston Studies in the Philosophy of Science, Vol. V (Reidel, Dordrecht, 1968), p. 199.

    Google Scholar 

  14. David Hestenes,Space-Time Algebra (Gordon and Breach, New York, 1966).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

McCollum, G. Spacetime code: Preliminaries and motivations. Found Phys 8, 211–228 (1978). https://doi.org/10.1007/BF00715208

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00715208

Keywords

Navigation