On Dark Matter Problem: Pseudomatter--Concept and Applications

A solution to the dark matter problem is set forth in the framework of reductive semiclassical gravity, i.e., semiclassical gravity involving quantum state reduction. In that theory, the Einstein equation includes the energy-momentum tensor originating from pseudomatter and partially compensating for quantum jumps of the matter energy-momentum tensor. The compensation ensures the continuity of metric and of its first time derivative. Pseudomatter is actualized as pseudodust and perceived as a dark matter. The necessity of compensating for quantum jumps makes pseudomatter, i.e., dark matter of such a form, an indispensable rather than ad hoc element of the theory. Applications: The Schwarzschild solution with pseudomatter, pseudomatter halo, collapse involving pseudomatter, pseudomatter in the FLRW universe.