The Regular Universe
Vladimir S. Mashkevich

TL;DR
This paper proposes a singularity-free, cyclic cosmological model where the universe's radius oscillates periodically, utilizing dark matter as a tensor field to ensure regularity and derive key cosmological equations.
Contribution
It introduces a novel regular universe model based on a periodic radius function and dark matter as a compensational tensor field, avoiding singularities.
Findings
Universe radius is a simple periodic function of cosmic time.
Dark matter is modeled as a tensor field for regularity.
Derived equations for pressure, energy, and momentum compensons.
Abstract
A regular (i.e., singularity-free) cycling cosmological model is advanced. In the model, there are only two constants: the gravitational constant (or the Planck time) and the cosmic period. The radius of the universe is a simple periodic function of cosmic time. The regularity of the construction is achieved via the condition that the measure associated with metric be the Haar measure on the 3-space. The possibility of the construction is due to dark matter---as long as it is treated not as a particle matter, but as a compensational tensor field. The metrodynamical equation, i.e., an equation for metric, is derived and expressions for the pressure, energy and momentum compensons are obtained.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCosmology and Gravitation Theories · Relativity and Gravitational Theory · Black Holes and Theoretical Physics
