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Volume 15: Pages 87-100, 2002

Fundamental Disagreement of Wave Mechanics with Relativity

Ezzat G. Bakhoum

New Jersey Institute of Technology, P.O. Box 305, Marlton, New Jersey 08053 U.S.A.

A number of well‐known difficulties in physics resulted from merging the theory of relativity with the Compton‐de Broglie wave mechanics. Two such problems were the failure of Dirac's relativistic wave equation to predict the correct velocity of the electron and the fact that the measured yield from nuclear fission was found to be substantially less than the theoretical yield. It is shown that the origin of these and other problems is the inconsistency of the relativistic mass‐energy equivalence principle with the fundamental assumptions of wave mechanics. An alternative view of the concept of mass‐energy equivalence that results in a very good agreement between theory and experiment is demonstrated. The conclusions of this paper will be quite important for ongoing research into such things as the current problem of the neutrino's mass.

Keywords: special relativity, wave mechanics, relativistic wave equation, nuclear fission, beta decay

Received: December 18, 2001; Published online: December 15, 2008