Non-Commutative Geometry and Measurements of Polarized Two Photon Coincidence Counts
arXiv:hep-th/0309260 · doi:10.1016/j.aop.2003.11.007
Abstract
Employing Maxwell's equations as the field theory of the photon, quantum mechanical operators for spin, chirality, helicity, velocity, momentum, energy and position are derived. The photon ``Zitterbewegung'' along helical paths is explored. The resulting non-commutative geometry of photon position and the quantum version of the Pythagorean theorem is discussed. The distance between two photons in a polarized beam of given helicity is shown to have a discrete spectrum. Such a spectrum should become manifest in measurements of two photon coincidence counts. The proposed experiment is briefly described.
Latex, 13 pages, 3 figures
References in corpus (4)
Cited by in corpus (5)
- Spin Hall effect of Photons in a Static Gravitational Field
- Minimal spatio-temporal extent of events, neutrinos, and the cosmological constant problem
- On the Vacuum Cherenkov Radiation in Noncommutative Electrodynamics and the Elusive Effects of Lorentz Violation
- Exotic Statistics for Ordinary Particles in Quantum Gravity
- Dynamics of zero-point energy and two-slit phenomena for photons