Local U(2,2) Symmetry in Relativistic Quantum Mechanics
Felix Finster
TL;DR
This paper derives a local U(2,2) gauge symmetry in relativistic quantum mechanics from measurement principles, unifying electrodynamics and gravity as a classical gauge theory.
Contribution
It introduces a novel local U(2,2) gauge symmetry in Dirac theory based on measurement principles, linking quantum mechanics with classical gauge theories.
Findings
Derivation of local U(2,2) gauge transformations for Dirac spinors
Unified classical gauge description of electrodynamics and gravity
Framework connecting measurement principles with gauge symmetries
Abstract
Local gauge freedom in relativistic quantum mechanics is derived from a measurement principle for space and time. For the Dirac equation, one obtains local U(2,2) gauge transformations acting on the spinor index of the wave functions. This local U(2,2) symmetry allows a unified description of electrodynamics and general relativity as a classical gauge theory.
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