Geometrizing relativistic quantum mechanics - INSPIRE

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Geometrizing relativistic quantum mechanics

Aug 5, 2010

17 pages

Published in:

Found.Phys. 40 (2010) 1885-1901

DOI:

10.1007/s10701-010-9496-1

View in:

AMS MathSciNet

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Abstract: (Springer)

We propose a new approach to describe quantum mechanics as a manifestation of non-Euclidean geometry. In particular, we construct a new geometrical space that we shall call Qwist. A Qwist space has a extra scalar degree of freedom that ultimately will be identified with quantum effects. The geometrical properties of Qwist allow us to formulate a geometrical version of the uncertainty principle. This relativistic uncertainty relation unifies the position-momentum and time-energy uncertainty principles in a unique relation that recover both of them in the non-relativistic limit.

Foundations of quantum mechanics
Bohm-de Broglie interpretation
Weyl integrable space
Non-Euclidean geometry

References(34)

Figures(0)

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