On the Vacua of General Relativity in the Backdrop of the Higgs VEV

Abstract

The classical notion of manifold may be augmented to institute the algebras associated with the generators of the spinor and vector representations of the Lorentz group on two copies of the cotangent space. In the former case, this results in the emergence of a Dirac operator out of the vacuum of General Relativity. In the backdrop of the Higgs VEV, a volume form with such a dual character endows the augmented manifold with dark matter content as the simplest conceivable geometric structure that could emerge out of the unified vacuum.