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Dirac's Equation: A Relativistic Generalization of the Schr?dinger Wave Equation - The Other Half

Don L. Hotson
Year: 2001
Keywords: Dirac's Equation, Schr?dinger Equation

Dirac's wave equation is a relativistic generalization of the Schrodinger wave equation. In 1934 this brilliantly successful equation was shorn of half of its solutions by a questionable bit of mathematical slight-of-hand Because it was "politically correct" this bit of juggling became the accepted interpretation. However recent developments have shown the very basis of this mathematical trick to be invalid, in that it would involve massive violations of conservation. A reevaluation is therefore warranted.

Since Dirac's equation is a relativistic generalization of an already generally applicable wave equation, in formulating it Dirac expected that its solutions would describe 'everything that waves' - that it would be a 'unitary theory of everything'. However the discovery of several new particles and peer criticism resulting in the truncation of the equation frustrated this expectation, and it is generally known at present as 'Dirac's equation of the electron'.
Dirac's complete equation describes a quantum spinor field, which has as solutions four different kinds of electron: electrons and positrons of positive energy, and electrons and positrons of negative energy. This equation generalizes an already general wave equation: therefore, as shown herein, the equation directly predicts that 'everything that waves', i. e. the entire physical universe, can be made from these four kinds of electron. This study indicates this to be the case: all matter and all fields and forces seem to be necessary combinations and applications of just these four kinds of electron, fulfilling Dirac's unitary expectation.

As this is obviously a Work in progress, any comments, criticisms, or corrections that you might care to offer are both welcome and solicited.