Claus Gerhardt Livres

Focusing on the quest for a unified quantum theory, this monograph presents a canonical quantization of gravity by addressing a geometric evolution equation, leading to a gravitational wave equation in globally hyperbolic spacetime. It explores eigenvalue problems for temporal and spatial self-adjoint operators, revealing a pure point spectrum for the temporal operator. The findings allow for smooth solutions and apply quantum statistics to these systems, potentially shedding light on the mysteries of dark matter and dark energy.