Abstract
Based on an analogy with electron and hole dynamics in semiconductors, Dirac's relativistic electron equation is generalized to include a gravitational interaction using an electromagnetic-type approximation of the gravitational potential. With gravitational and inertial masses decoupled, the equation serves to extend Dirac's deduction of antimatter parameters to include the possibility of gravitational repulsion between matter and antimatter. Consequences for general relativity and related “antigravity” issues are considered, including the nature and gravitational behavior of virtual photons, virtual pairs, and negative-energy particles. Basic cosmological implications of antigravity are explored—in particular, potential contributions to inflation, expansion, and the general absence of detectable antimatter. Experimental and observational tests are noted, and new ones suggested.
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References
Anderson, C. D. (1932).Science,76, 238.
Berestetzky, V. B., and Landau, L. D. (1949).Zhurnal Experimental'noi i Teoreticheskoi Fiziki,19, 673, 1130.
Bondi, H. (1957).Reviews of Modern Physics,29, 423.
Braginsky, V. L., Caves, C. M., and Thorne, K. S. (1977).Physical Review D,15, 2047.
Chu, S. (1990). Atomic fountains, funnels, and rings, inPhysics News in 1990, American Institute of Physics, New York, pp. 15ff, and references therein.
Curie, I., and Joliot, F. (1934).Comptes Rendus de l'Académie des Science,198, 254.
Darling, T. W., Rossi, F., Opat, G. I., and Moorhead, G. F. (1992).Reviews of Modern Physics,64, 237, and references therein.
Debenedetti, S., Cowan, C. E., Konnecker, W. R., and Primakoff, H. (1950).Physical Review,77, 205.
Dirac, P. A. M. (1928a).Proceedings of the Royal Society A,117, 610.
Dirac, P. A. M. (1928b).Proceedings of the Royal Society A,118, 351.
Dirac, P. A. M. (1931).Proceedings of the Royal Society A,133, 60.
Dirac, P. A. M. (1958).The Principles of Quantum Mechanics, 4th ed., Oxford University Press, Oxford.
Einstein, A. (1921). Stafford Little Lectures, Princeton University, May 1921 [reprinted in A. Einstein,The Meaning of Relativity, 5th ed., Princeton University Press, Princeton, New Jersey (1956)].
Fairbank, W. M., Witteborn, F. C., and Knight, L. V. (1964).Science,144, 252.
Forward, R. L. (1961).Proceedings IRE,49, 892.
Freedman, W. L.,et al. (1994).Nature,371, 757.
Gabrielse, G., Rolston, S. L., Haarsma, L., and Keils, W. (1988).Physics Letters A,129, 38.
Gabrielse, G., Fei, X., Orozco, L. A., Tjoelker, R. L., Haas, J., Kalinowsky, H., Trainor, T. A., and Keils, W. (1990).Physical Review Utters,65, 1317.
Goldman, T., and Nieto, M. M. (1982).Physics Letters,112B, 437.
Good, M. L. (1961).Physical Review,121, 311.
Harrison, W. A. (1979).Solid State Theory, Dover, New York.
Heisenberg, W. (1931).Annalen der Physik,10, 888.
Heitler, W. (1954).The Quantum Theory of Radiation, 3rd ed., Dover, New York.
Hoyle, F., and Narlikar, J. V. (1974).Action at a Distance in Physics and Cosmology, Freeman, San Francisco, esp. Chapter 9.
Islam, J. N. (1992).An Introduction to Mathematical Cosmology, Cambridge University Press, Cambridge.
Jacoby, G. (1994).Nature,371, 741.
Kaku, M. (1993).Quantum Field Theory, Oxford University Press, Oxford, Chapter 19, Quantum Gravity.
Kittel, C. (1971).Introduction to Solid State Physics, 4th ed., Wiley, New York, esp. Chapter 10.
Kramers, H. A. (1964).Quantum Mechanics, Dover, New York.
Lamb, W. E., and Retherford, R. C. (1957).Physical Review,72, 241.
Madelung, O. (1978).Introduction to Solid State Theory, Springer-Verlag, Berlin, esp. Chapter 2.
Mattuck, R. D. (1976).A Guide to Feynman Diagrams in the Many-Body Problem, 2nd ed., Dover, New York.
McGervey, J. D. (1971).Modern Physics, Academic Press, New York.
Messiah, A. (1968).Quantum Mechanics, North-Holland, Amsterdam.
Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973).Gravitation, Freeman, San Francisco.
Morrison, P., and Gold, T. (1957).Essays on Gravity, Gravity Research Foundation, New Boston, New Hampshire. Cited in Morrison (1958).
Morrison, P. (1958).American Journal of Physics,26, 358.
Nieto, M. M., and Goldman, T. (1991).Physics Reports,205, 221.
Peebles, P. J. E. (1993).Principles of Physical Cosmology, Princeton University Press, Princeton, New Jersey.
Pierceet al., M. J. (1994).Nature,371, 385.
Pirenne, J. (1946).Archives des Sciences Physiques et Naturelles,28, 233.
Pirenne, J. (1947).Archives des Sciences Physiques et Naturelles,29, 121, 207.
Ross, D. K. (1983).Journal of Physics A,16, 1331.
Schiff, L. I. (1958).Physical Review Letters,1, 254.
Schiff, L. I. (1959).Proceedings of the National Academy of Sciences of the USA,45, 69.
Schiff, L. I. (1968).Quantum Mechanics, 3rd ed., McGraw-Hill Kogakusha, Tokyo.
Wachs, A. L.,et al. (1989).Physica C,162–164, 1375.
Weinberg, S. (1972).Gravitation and Cosmology, Wiley, New York.
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Kowitt, M. Gravitational repulsion and Dirac antimatter. Int J Theor Phys 35, 605–631 (1996). https://doi.org/10.1007/BF02082828
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DOI: https://doi.org/10.1007/BF02082828