The Indeterministic Einstein Equation: Quantum Jumps, Spacetime Structure, and Dark Pseudomatter

Current physics is faced with the fundamental problem of unifying quantum theory and general relativity, which would have resulted in quantum gravity. The main effort to construct the latter has been bent on quantizing spacetime structure, in particular metric. Meanwhile, taking account of the indeterministic aspect of the quantum description of matter, which manifests itself in quantum jumps, essentially affects classical spacetime structure and the Einstein equation. Quantum jumps give rise to a family of sets of simultaneous events, which implies the existence of universal cosmological time. In view of the jumps, the requirement for metric and its time derivative to be continuous implies that the Einstein equation should involve pseudomatter along with matter. Pseudomatter manifests itself only in gravitational effects, being thereby an absolutely dark ``matter''