Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space

Abstract

Based on recent measurements on the charge-to-mass ratios of proton and anti-proton, we study constraints on the parameters of noncommutative phase space. We find that while the limit on the parameter of coordinate noncommutativity is weak, it is very strong on the parameter of momentum noncommutativity, $\sqrt{\xi }\lesssim 1\mu \mathrm{eV}$. Therefore, the charge-to-mass ratio experiment has a strong sensitivity on the momentum noncommutativity, and enhancement of future experimental achievement can further pin down the momentum noncommutativity.

arXiv comment6pages; v2: text are improved and several references are added. v3: match to the published version

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Cited by in corpus (5)

• Relativistic effects due to gravimagnetic moment of a rotating body
• The Exact Foldy-Wouthuysen Transformation for a Dirac Theory Revisited
• Probing Noncommutativities of Phase Space by Using Persistent Charged Current and Its Asymmetry
• Chiral Spin Noncommutative Space and Anomalous Dipole Moments
• Noncommutative effects on the fluid dynamics and modifications of the Freidmann equation