Quantum Theory at Planck Scale, Limiting Values, Deformed Gravity and Dark Energy Problem

TL;DR

This paper develops a high-energy deformation of General Relativity at the Planck scale, providing a new interpretation of Markov's model and proposing a hypothesis linking dark energy to deviations from thermodynamic identities in deformed gravity.

Contribution

It introduces a fundamental deformation of Einstein's equations at the Planck scale and reinterprets Markov's early work within this framework, addressing the dark energy problem.

Findings

Deformation of gravity at Planck scale formulated.

Markov's heuristic model given a fundamental basis.

Dark energy linked to thermodynamic deviations in deformed gravity.

Abstract

Within a theory of the existing fundamental length on the order of Planck's a high-energy deformation of the General Relativity for the space with horizon has been constructed. On this basis, Markov's work of the early eighties of the last century has been given a new interpretation to show that the heuristic model considered by him may be placed on a fundamental footing. The obtained results have been applied to solving of the dark energy problem, making it possible to frame the following hypothesis: a dynamic cosmological term is a measure of deviation from a thermodynamic identity (the first law of thermodynamics) of the high-energy (Planck's) deformation of Einstein equations for horizon spaces in their thermodynamic interpretation.