Spectral Evolution in History-Dependent Gravity: Conservative Flow and Linear Response

We study the spectral evolution of tensor perturbations in history-dependent gravity (HDG), where nonlocal memory terms arise from functional renormalization group (FRG) flow. The spectral density obeys a conservative Boltzmann-type kinetic equation with exact norm and first moment preservation. Numerical integration reveals a universal attractor and linear response n_T ∝ ξ, establishing a theoretically controlled framework for memory-induced spectral redistribution.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-26
DOI
https://doi.org/10.5281/zenodo.20927785
Primary Topic
Cosmology and Gravitation Theories
Type
article
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article

Spectral Evolution in History-Dependent Gravity: Conservative Flow and Linear Response

Alik Gimranov
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

Spectral Evolution in History-Dependent Gravity: Conservative Flow and Linear Response

Alik Gimranov
article en

Abstract

We study the spectral evolution of tensor perturbations in history-dependent gravity (HDG), where nonlocal memory terms arise from functional renormalization group (FRG) flow. The spectral density obeys a conservative Boltzmann-type kinetic equation with exact norm and first moment preservation. Numerical integration reveals a universal attractor and linear response n_T ∝ ξ, establishing a theoretically controlled framework for memory-induced spectral redistribution.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 6%
Cosmology and Gravitation Theories
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Spectral Evolution in History-Dependent Gravity: Conservative Flow and Linear Response — Alik Gimranov · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS