Using NANOGrav 15-year and IPTA second data release, this paper sets a 68% confidence lower bound of 10^-19 GeV on the Lorentz-violating scale M_LV in a modified gravity model.
Noncommutative Field Theory and Lorentz Violation
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abstract
The role of Lorentz symmetry in noncommutative field theory is considered. Any realistic noncommutative theory is found to be physically equivalent to a subset of a general Lorentz-violating standard-model extension involving ordinary fields. Some theoretical consequences are discussed. Existing experiments bound the scale of the noncommutativity parameter to (10 TeV)^{-2}.
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Lorentz Violation with Gravitational Waves: Constraints from NANOGrav and IPTA Data
Using NANOGrav 15-year and IPTA second data release, this paper sets a 68% confidence lower bound of 10^-19 GeV on the Lorentz-violating scale M_LV in a modified gravity model.