DISCRETE LORENTZ SYMMETRIES IN GRAVITATIONAL FIELDS

Belief in slight Lorentz symmetry violation at available energies is an imaginable part of belief in radically disparate physics near the Planck energy. As long as the effective field theory comprising new physics is formulated in flat spacetime, the description of hypothetical Lorentz symmetry violation within its formalism is consistent and tenable. If gravitation is introduced into the effective theory in the form of curved manifolds subject to Einstein field equations, the formalism of the symmetry violation encounters severe troubles. Either the dynamics of fundamental physical fields becomes inconsistent, or one is forced to accept existence of a large number of new species of fundamental matter beyond the Standard Model.