Skip to main content

Particles and geometry

  • Conference paper
  • First Online:
Unified Theories of Elementary Particles

Part of the book series: Lecture Notes in Physics ((LNP,volume 160))

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bohr, N., and L. Rosenfeld, 1933, “Zur Frage der Messbarkeit der elektromagnetischen Feldgrößen, “Kgl. Danske Videnskab. Sels. Matfyz. Medd. 12, no. 8. The English translation of this paper appears in Selected Papers of Leon Rosenfeld, R. Cohen and J. Stachel, eds., Reidel, Dordrecht, 1979.

    Google Scholar 

  • Boltzmann, L., 1904, Vorlesungen über die Prinzipien der. Mechanik, Vol. II, Wien. This paper and its intellectual antecedents are discussed in a recent paper by Dr, S. Wagner (1981) whom I thank for his communication on this point.

    Google Scholar 

  • Christodoulou, D., 1970, “Reversible and irreversible transformations in black-hole physics,” Phys. Rev. Lett. 25, 1596–1597.

    Google Scholar 

  • Cordero, P., and C. Teitelboim, 1978, “Remarks on supersymmetric black holes,” Phys. Lett. 78B, 80–83.

    Google Scholar 

  • Cordero, P., post 1978, “On supersymmetric black holes.” Proceedings of the First Chilean Symposium of Theoretical Physics, December 1978, special issue of Contribuciones Cientificas y technologicas (Universidad Tecnica del Estado, Avda. Ecuador 3469, Santiago, Chile), no date, pp.66–74.

    Google Scholar 

  • Deser, S., and B. Zumino, 1976, “Consistent supergravity,” Phys. Lett. 628, 335–337.

    Google Scholar 

  • Dirac, P.A.M., 1928a, “The quantum theory of the electron, I,” Proc. Roy. Soc. (London) A113, 610–624.

    Google Scholar 

  • Dirac, P.A.M., 1928b, “The quantum theory of the electron, II,” Proc. Roy. Soc. (London) A118, 351–361.

    Google Scholar 

  • Einstein, A., 1913, letter to Ernst Mach dated June 26, 1913, together with other correspondence between Einstein and Mach in F. Herneck, Einstein und sein Weltbild, Der Morgen, Berlin DDR, 1979.

    Google Scholar 

  • Einstein, A., 1934, Essays in Science, Philosophical Library, New York. Translated from Mein (Weltbild, Querido Verlag, Amsterdam, 1933.

    Google Scholar 

  • Einstein, A., 1949, “Autobiographical Notes”, in P.A. Schilpp, ed., Albent Einstein: Philosopher-Scientist, Library of Living Philosophers, Evanston, Ill., pp.65–67.

    Google Scholar 

  • Feynamn, R.P., 1981, “Qualitative behavior of quantum chromodynamics,” report at 3-5 April, 1981 Conference “The Way Ahead,” University of Texas, Austin.

    Google Scholar 

  • Freedman, D.L., P. Van Nieuwenhuizen and S. Ferrara, 1976, “Progress toward a theory of super gravity,” Phys. Rev. D13, 3214–3218.

    Google Scholar 

  • Gibbons, G.W. and S.W. Hawking, 1977, “Action integrals and partition functions in quantum gravity,” Phys. Rev. D15, 2752–2757.

    Google Scholar 

  • Heisenberg, W., 1969, Der Teil und das Ganze. Gespräche im Umbreis der Atomphysik, (Munich), English translation, Physicz and Beyond. Memories of a Life in Science, London, 1971.

    Google Scholar 

  • Hojman, S., K. Kuchar and C. Teiteboim, 1973, “New approach to general relativity,” Nature Phys. Sci. 245, 97–98

    Google Scholar 

  • Hojman, S., K. Kuchar and C. Teitelboim, 1976, “Geometrodynamics regained,” Ann. of Phys. 76, 88–135.

    Google Scholar 

  • Isenberg, J., and J.A. Wheeler, 1979, “Inertia here is fixed by mass-energy there in every W model universe,” in M. Pantaleo and F. deFinis, eds., Refativity, Quanta and Cosmology in the Development of the Scientific Thought of Albett Einstein, Johnson Reprint Corp., New York, Vol. I, pp. 267–293.

    Google Scholar 

  • Jammer, M., 1974, The Phisiology of Quantum Mechanics, Wiley, New York.

    Google Scholar 

  • Johnson, K., 1981, “The QCD vacuum,” Report at the 16–21 July 1981 Heisenberg Symposium, Munich.

    Google Scholar 

  • Kuchar, K., 1973, “Canonical quantization of gravity,” pp. 238–288 in W. Israel, ed., Retativity, Astrophysics and Cosmology, Reidel Dordrecht, Holland.

    Google Scholar 

  • Kuchar, K., 1974, “Geometrics regained: a LagrangiAn approach,” J. Math. Phys. 15, 708–715.

    Google Scholar 

  • Peres, A., 1962, “On the Cauchy problem in general relativity, II,” Nuovo Cimento 26,, 53–62. The meaning of this equation is disucssed in Wheeler (1968).

    Google Scholar 

  • Perry, M.J., S.W. Hawking and G.W. Gibbons, 1978, “Path integrals and indefiniteness of the gravitational action,” Nucl. Phys. 8138, 141–150.

    Google Scholar 

  • Tabensky, R., and C. Teitelboim, 1977, “The square root of general relativity,” Phyz. Lett. 69B, 453–456.

    Google Scholar 

  • Teitelboim, C., 1973, “How commutators of constraints reflect spacetime structure,” Ann. of Phyz. 79, 542–557.

    Google Scholar 

  • Teitelboim, C., 1973, “The Hamiltonian structure of spacetime”, doctoral dissertation, unpublished, Princeton University; available from University Microfilms, Inc., Ann Arbor, Michigan 48106.

    Google Scholar 

  • Teitelboim, C., 1976, “Surface deformations, spacetime structure and gauge invariance,” in C. Aragone, ed., Relativity, Fields, Strings, and Gravity: Proceedings of the Second Latin American Symposium on Reactivity and Gravitation SILARG 11 heed in Catacaz, December 1975 Universidad Simon Bolivar, Caracas.

    Google Scholar 

  • Teitelboim, C., 1977, “Supergravity and square roots of constraints,” Phys. Rev. Lett. 38, 1106–1110.

    Google Scholar 

  • Tomonaga, S., 1946, “On a relativistically invariant formulation of the quantum theory of wave fields,” Prog. Theor. Phys. 11 27–42, reprinted in Schwinger, J., ed., Selected Papers on Quantum Dynamics Dover, New York, 1958.

    Google Scholar 

  • Wagner, S., 1981, “Ludwig Boltzmann and Einstein's Relativitats-theorem,” contribution to 4 September 1981 Int. Conf. on Ludwig Boltzmann.

    Google Scholar 

  • Weyl, H., 1949, Philosophy of Mathematics and Nature Science (original German in 1927; revised for English edition; translated by O. Helmer), Princeton University Press, Princeton, N.J., p. 91.

    Google Scholar 

  • Wheeler, J.A.., 1957, “On the nature of quantum geometrodynamics”, Annals o5 Phyzics, 604–614.

    Google Scholar 

  • Wheeler, J.A., 1968, “Superspace and quantum geometrodynamics” in C.M. DeWitt and J.A. Wheeler, eds., Battelle Rencontres, Benjamin, New York, pp. 242–307.

    Google Scholar 

  • Wheeler, J.A., 1978, “The ‘past’ and the ‘delayed choice’ double-slit experiment,” in A.R. Marlow, ed., Mathematical Foundations of Quantum Theory, Academic Press, New York, pp. 9–48.

    Google Scholar 

  • Wheeler, J.A., 1980, “Beyond the black hole,” in H. Woolf, ed., Some Strangeness in the Proportion: A Centennial Symposium to Celebrate the Achievements of Albert Einstein, Addison-Wesley, Reading, Mass., pp. 341–375.

    Google Scholar 

  • Wheeler, J.A., 1981, “Delayed-choice experiments and the Bohr-Einstein dialog,” The American Philosophical Society and the Royal Society: Papers Read at a Meeting June 5, 1980, Philadelphia, pp. 9–40. ‘The use of the double quasistellar object (“quasar” red shift z = 1.41) as setting for a delayed-choice experiment is described in figures 5 and 6.

    Google Scholar 

  • Wootters, W.K., 1980, “The acquisition of information from quantum measurements,” Ph.D. dissertation, University of Texas, Austin; available from University Microfilms, Inc., Ann Arbor, Mich. 48106.

    Google Scholar 

  • Wootters, W.K., 1981, “Statistical distribution and Hilbert space,” Phys. Rev. D 23, 357.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

P. Breitenlohner H. P. Dürr

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Wheeler, J.A. (1982). Particles and geometry. In: Breitenlohner, P., Dürr, H.P. (eds) Unified Theories of Elementary Particles. Lecture Notes in Physics, vol 160. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11560-9_13

Download citation

  • DOI: https://doi.org/10.1007/3-540-11560-9_13

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11560-1

  • Online ISBN: 978-3-540-39250-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics