Abstract
An invariant definition of mass is given, within the context of a geometric unified theory, in terms of the geometric connection and the matter current. This geometric mass corresponds to the concept of self energy and leads to the mass parameter in Dirac's equation.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
González-Martín, G. (1990).Gen. Rel. Grav. 22, 481; (1991).Gen. Rel. Grav. 23, 827; (1987).Phys. Rev. D35, 1225.
Einstein, A., Infeld, L., Hoffman, B. (1938).Ann. Math. 39, 65.
Infeld, L., van der Waerden, B. L. (1933).Sitzber. Preuss. Akad. Wiss., Physik Math. K1, 380.
Bade, W. L., Jehle, H. (1953).Rev. Mod. Phys. 25, 714.
Weyl, H. (1931).The Theory of Groups and Quantum Mechanics (Dover, New York).
Carmeli, M. (1972).Ann. Phys. (NY) 71, 603.
González-Martín, G. (1987).Phys. Rev. D35, 1225; (1986).Acta Cient. Ven. 37, 130.
Yang, C. N. (1974).Phys. Rev. Lett. 33, 445.
Messiah, A. (1961).Quantum Mechanics, transi. G. M. Temmer (North-Holland, Amsterdam).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
González-Martin, G. A geometric definition of mass. Gen Relat Gravit 26, 1177–1185 (1994). https://doi.org/10.1007/BF02106710
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02106710