Why Quantum Mechanics is Complex

Details Why Quantum Mechanics is Complex Why Quantum Mechanics is Complex

1997-08-15

arxiv.org/abs/hep-th/9708088v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Plain TeX, Honorable Mention 1996 GRG Essay

Scientific paper

The zero-signature Killing metric of a new, real-valued, 8-dimensional gauging of the conformal group accounts for the complex character of quantum mechanics. The new gauge theory gives manifolds which generalize curved, relativistic phase space. The difference in signature between the usual momentum space metric and the Killing metric of the new geometry gives rise to an imaginary proportionality constant connecting the momentumlike variables of the two spaces. Path integral quantization becomes an average over dilation factors, with the integral of the Weyl vector taking the role of the action. Minimal U(1) electromagnetic coupling is predicted.

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