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

This Version 2 introduces a substantial theoretical upgrade of the original work. Key improvements include: · A spectral (Källén–Lehmann-type) representation of the memory kernel, removing ad hoc assumptions · A rigorous derivation of Maldacena consistency violation via RG-induced symmetry breaking · A formal no-reduction theorem proving inequivalence to EFT of Inflation (EFTI) and Quasi-Single-Field (QSF) models · Clarification of the physical origin of resonant non-Gaussianity from RG dynamics These results elevate the framework from a phenomenological model to a structurally distinct class of inflationary theories based on RG-driven temporal nonlocality. This work is part of a broader research program on History-Dependent Gravity developed across a series of papers (see Related Works).

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-29
DOI
https://doi.org/10.5281/zenodo.21034427
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
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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

This Version 2 introduces a substantial theoretical upgrade of the original work. Key improvements include: · A spectral (Källén–Lehmann-type) representation of the memory kernel, removing ad hoc assumptions · A rigorous derivation of Maldacena consistency violation via RG-induced symmetry breaking · A formal no-reduction theorem proving inequivalence to EFT of Inflation (EFTI) and Quasi-Single-Field (QSF) models · Clarification of the physical origin of resonant non-Gaussianity from RG dynamics These results elevate the framework from a phenomenological model to a structurally distinct class of inflationary theories based on RG-driven temporal nonlocality. This work is part of a broader research program on History-Dependent Gravity developed across a series of papers (see Related Works).

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 8%
Cosmology and Gravitation Theories
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