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The Lorentz invariance and Einstein equivalence principle violating effectsin the narrow 7.8 eV transition in 229Th nucleus may be 100 000 times largerthan in atoms. This transition may be investigated using high precision laserspectroscopy methods, has a very small width, and suppressed systematiceffects. Similar values of the effects are expected in 73 eV 235U nucleartransition which is coming within the reach of the laser spectroscopy.Mossbauer transitions give another possibility.

Enhanced effects of the Lorentz invariance and Einstein equivalence principle violation in 229Th nuclear transition