On Dark Matter Problem: Pseudomatter--Concept and Applications

TL;DR

This paper proposes pseudomatter as a form of dark matter within semiclassical gravity, addressing quantum jumps in the energy-momentum tensor and exploring its applications in various spacetime models.

Contribution

It introduces pseudomatter as a necessary element in semiclassical gravity to account for quantum jumps, providing a novel conceptual framework for dark matter.

Findings

Pseudomatter can be modeled as pseudodust.

Application of pseudomatter in Schwarzschild and FLRW solutions.

Pseudomatter explains dark matter phenomena as a consequence of quantum effects.

Abstract

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.