Abstract
We describe a scheme for the exploration of quantum gravity phenomenology focusing on effects that could be thought of as arising from a fundamental granularity of spacetime. In contrast with the simplest assumptions, such granularity is assumed to respect Lorentz invariance but is otherwise left unspecified. The proposal is fully observer covariant, it involves non-trivial couplings of curvature to matter fields and leads to a well-defined phenomenology. We present the effective Hamiltonian which could be used to analyze concrete experimental situations, some of which are briefly described, and we shortly discuss the degree to which the present proposal is in line with the fundamental ideas behind the equivalence principle.
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