The Dirac Equation in Projective Relativity

The Dirac Equation in Projective Relativity.

cussed above would also involve modifications in the equations of macroscopic relativistic mechanics, since these would allow no creation or destruction of energy from the point of view of a local observer. These modifications might prove of interest for the problems of relativistic cosmology. The possible nature of the changes which could be introduced will be discussed in a following note.

Spinors in Projective Relativity.

Veblen on Projective Relativity 191 Veblen on Projective Relativity

This book by Professor Veblen is a result of a series of lectures given at the University of Göttingen during the summer of 1932. I t deals with that new aspect of the theory of relativity which is often called projective relativity on account of its relation to projective geometry. I t allows a unified theory of the gravitational and the electromagnetic field, and, though it is not referred to...

The projective theory of relativity

Introduction. – In what follows, one will find a summary of the projective theory of relativity, as it was developed in the publications G. F. III, IV, V, VI, VIII (), upon starting with the idea, which is due to O. VEBLEN and B. HOFFMANN (), of a projective connection that leaves invariant a given quadric in local space. As in those publications, we shall make use of the method of homogeneous ...

Decoherence in the Dirac Equation

A Dirac particle is represented by a unitarily evolving state vector in a Hilbert space which factors as Hspin Hposition. Motivated by the similarity to simple models of decoherence consisting of a two state system coupled to an environment, we investigate the occurence of decoherence in the Dirac equation upon tracing over position. We conclude that the physics of this mathematically exact mod...