Degenerate spacetime paths and the nonlocality of quantum mechanics in a Clifford substructure of spacetime
Abstract
The quantized canonical spacetime coordinates of a relativistic point particle are expressed in terms of the elements of a complex Clifford algebra which combines the complex properties of SL(2.C) and quantum mechanics. When the quantum measurement principle is adapted to the generating space of the Clifford algebra we find that the transition probabilities for twofold degenerate paths in spacetime equals the transition amplitudes for the underlying paths in Clifford space. This property is used to show that the apparent nonlocality of quantum mechanics in a double slit experiment and in an EPR type of measurement is resolved when analyzed in terms of the full paths in the underlying Clifford space. We comment on the relationship of this model to the time symmetric formulation of quantum mechanics and to the WheelerFeynman model.
 Publication:

arXiv eprints
 Pub Date:
 June 1999
 arXiv:
 arXiv:quantph/9906040
 Bibcode:
 1999quant.ph..6040B
 Keywords:

 Quantum Physics
 EPrint:
 13 pages, LaTex2e, email: bdge@post5.tele.dk