Spontaneous Lorentz Violation from Infrared Gravity

In this paper, we investigate a novel implication of the non-negligible spacetime curvature at large distances when its effects are expressed in terms suitably modified form Heisenberg uncertainty relations. Specifically, establish one-to-one correspondence between principle and Standard Model Extension (SME), string-theoretical effective field theory that accounts for both explicit spontaneous breaking Lorentz symmetry. This tight string-derived quantum mechanics with extended relations is validated by comparing predictions concerning deformed Hawking temperature derived from two models. Moreover, starting experimental bounds on gravity sector SME, derive most stringent constraint achieved so far value free parameter principle.