Analogy of the Lorentz-violating fermion-gravity and fermion photon couplings

By adopting a methodology proposed by R. J. Adler et al., we study the interesting analogy between fermion-gravity and fermion-electromagnetic interactions in presence of minimal Lorentz-violating (LV) fermion coefficients. The single-fermion matrix elements gravitational interaction (SMEGI) are obtained with prescribed Lense-Thirring (LT) metric assuming test particle assumption. Quite distinct from extensively studied linear potential, LT is essentially curved thus reveals anomalous LV matter-gravity couplings as manifestation so-called gravito-magnetic effects, which go beyond conventional equivalence principle predictions. collecting all spin-dependent operators SMEGI some reasonable assumptions, get nonrelativistic Hamiltonian, derive spin precession acceleration due to LV. combining these results certain gravity experiments, rough bounds on several coefficients, such $|3\stackrel{\ensuremath{\rightarrow}}{\stackrel{\texttildelow{}}{H}}\ensuremath{-}2\stackrel{\ensuremath{\rightarrow}}{b}|\ensuremath{\le}1.46\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}\text{ }\text{ }\mathrm{GeV}$, ad hoc assumptions.