Four-space formulation of Dirac's equation

Foundations of Physics 20 (3):309-335 (1990)
  Copy   BIBTEX

Abstract

Dirac's equation is reviewed and found to be based on nonrelativistic ideas of probability. A 4-space formulation is proposed that is completely Lorentzinvariant, using probability distributions in space-time with the particle's proper time as a parameter for the evolution of the wave function. This leads to a new wave equation which implies that the proper mass of a particle is an observable, and is sharp only in stationary states. The model has a built-in arrow of time, which is associated with a restriction to positive-energy solutions. The usual solution for a Coulomb field is retained, though it now implies a slightly different charge distribution. The conventional nonstationary solutions become invalid. The new formulation appears to offer a resolution of difficulties that have been associated with Dirac's equation. It also predicts the occurrence of virtual pairs at a level that may be experimentally testable, and suggests a mechanism for self-cancellation of the vacuum energy

Other Versions

No versions found

Links

PhilArchive

    This entry is not archived by us. If you are the author and have permission from the publisher, we recommend that you archive it. Many publishers automatically grant permission to authors to archive pre-prints. By uploading a copy of your work, you will enable us to better index it, making it easier to find.

    Upload a copy of this work     Papers currently archived: 104,743

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Probability Backflow for a Dirac Particle.G. F. Melloy & A. J. Bracken - 1998 - Foundations of Physics 28 (3):505-514.
A Hilbert space for the classical electromagnetic field.Bernard Jancewicz - 1993 - Foundations of Physics 23 (11):1405-1421.

Analytics

Added to PP
2013-11-22

Downloads
104 (#215,918)

6 months
17 (#180,956)

Historical graph of downloads
How can I increase my downloads?