Non-Gaussianity in History-Dependent Gravity: Resonant Bispectrum and Violation of Maldacena Consistency

Paper VII in the History-Dependent Gravity (HDG) series. We derive the primordial bispectrum in HDG, showing that the memory kernel generates resonant equilateral non-Gaussianity with amplitude f_NL ~ τ_K H. We identify a discovery window τ_K H ~ O(1-10) accessible to next-generation CMB experiments. We demonstrate a controlled violation of the Maldacena consistency relation in the squeezed limit, arising from nonlocal temporal dynamics. This work establishes connections to entropy production (Paper VIII) and baryogenesis (Paper IX).

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-27
DOI
https://doi.org/10.5281/zenodo.20963600
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
0.00
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article

Non-Gaussianity in History-Dependent Gravity: Resonant Bispectrum and Violation of Maldacena Consistency

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

Non-Gaussianity in History-Dependent Gravity: Resonant Bispectrum and Violation of Maldacena Consistency

Alik Gimranov
article en

Abstract

Paper VII in the History-Dependent Gravity (HDG) series. We derive the primordial bispectrum in HDG, showing that the memory kernel generates resonant equilateral non-Gaussianity with amplitude f_NL ~ τ_K H. We identify a discovery window τ_K H ~ O(1-10) accessible to next-generation CMB experiments. We demonstrate a controlled violation of the Maldacena consistency relation in the squeezed limit, arising from nonlocal temporal dynamics. This work establishes connections to entropy production (Paper VIII) and baryogenesis (Paper IX).

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 6%
Cosmology and Gravitation Theories
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