Cosmological Constant or Cosmological Potential

TL;DR

This paper explores a minimal dilatonic gravity model with a cosmological potential, examining its connections to nonlinear gravity and string theory, and addressing the cosmological constant problem through various theoretical analyses.

Contribution

It introduces a new formulation of the cosmological constant problem and analyzes the inverse problem of deriving cosmological potential from universe evolution.

Findings

Relation of MDG to nonlinear gravity and string theory

A new perspective on the cosmological constant problem

Properties of cosmological interactions derived from experiments

Abstract

In the framework of a model of minimal of dilatonic gravity (MDG) with cosmological potential we consider: the relations of MDG with nonlinear gravity and string theory; natural cosmological units, defined by cosmological constant; the properties of cosmological factor, derived from solar system and Earth-surface gravitational experiments; universal anty-gravitational interactions, induced by positive cosmological constant and by Nordtved effect; a new formulation of cosmological constant problem using the ratio of introduced cosmological action and Planck constant $\sim 10 ^{122}$;qualitative analysis of this huge number based on classical action of effective Bohr hydrogen atoms; inverse cosmological problem: to find cosmological potential which yields given evolution of the RW Universe; and comment other general properties of MDG.