Exploring Landscape, renormgroup quantization

TL;DR

This paper models the landscape potential as a dynamic environment influencing system trajectories, revealing a renormalization-like process with phase transitions and a measure acting akin to dark energy.

Contribution

It introduces a novel perspective of landscape as a dynamic measure affecting trajectories, linking entropy, measure duality, and renormgroup quantization.

Findings

Landscape measure influences trajectory dynamics.

Entropy acts like dark energy on the system.

Landscape deformations correspond to phase transitions.

Abstract

In this paper the Landscape potential is considered as an environment for system: trajectory-environment (TE). The trajectory is generating a measure on the landscape. The entropy of this dynamic measure is a power factor for trajectory. This dynamics leads to a memory appearance and produces a non-singular measure practically independently from initial conditions. It is shown that measure is dual to the metrics and its evolution may be considered as the landscape deformations: production-destruction of attractors-vacua. It seems like the renormalization process with phase transitions: renormgroup quantization. It is shown what the entropy of this global landscape measure acts on the trajectory alike a dark energy.