Mathematical Overview of Hypersphere World-Universe Model

Abstract

The Hypersphere World-Universe Model (WUM) provides a mathematical framework that allows calculating the primary cosmological parameters of the World which are in good agreement with the most recent measurements and observations. WUM explains the experimental data accumulated in the field of Cosmology and Astroparticle Physics over the last decades: the age of the World and critical energy density; the gravitational parameter and Hubble's parameter; temperatures of the cosmic microwave background radiation and the peak of the far-infrared background radiation; the concentration of intergalactic plasma and time delay of Fast Radio Bursts. Additionally, the model predicts masses of dark matter particles, photons, and neutrinos; proposes new types of particle interactions (Super Weak and Extremely Weak); shows inter-connectivity of primary cosmological parameters of the World. WUM proposes to introduce a new fundamental parameter Q in the CODATA internationally recommended values. This paper is the summary of the mathematical results obtained in [1]-[4].

Dark Matter Cosmology and Astrophysics

“…This result is in an excellent agreement with experimentally measured value of A light-travel time distance to the source of FRB LTT d equals to [7]:…”

“…WUM holds that there indeed exist relations between all primary cosmological parameters that depend on dimensionless time-varying quantity Q, which equals to: [4]. The model develops a mathematical framework that allows for direct calculation of the following primary cosmological parameters through Q [7]:  Newtonian parameter of gravitation G:…”

Analysis of Maxwell’s Equations. Cosmic Magnetism

“…Their energy density in the Medium of the World is about the proton energy density [7]. They represent the macroscopically averaged magnetic dipole moment density M of the Medium in the presence of applied fields.…”

“…Outside any magnetic material, B and H are strictly proportional to each other, but inside magnetic material they are quite different. The potential energy density of a magnetic field is really , h is Planck constant) [7].…”

Astrophysics: Macroobject Shell Model

“…This paper is an elaboration of Hypersphere World-Universe Model published in [1]- [7]. The prospect that Dark Matter Particles (DMP) might be observed in Centers of Macroobjects has drawn many new researchers to the field in the last forty years.…”