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This research aims to analyze the stability and universality properties of spectral fixed points in History-Dependent Gravity through the renormalization group flow.

July 27, 2026Open Access

Critical Exponents and Universality Classes of the Spectral Renormalization Group Flow in History-Dependent Gravity (Paper XLVI)

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AGAlik GimranovIndependent University of Moscow

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Randomized trial analyzes critical exponents in History-Dependent Gravity, suggesting new insights into gravitational theories.

Key Points

This research aims to analyze the stability and universality properties of spectral fixed points in History-Dependent Gravity through the renormalization group flow.
Formulated the linearized flow as a functional eigenvalue problem for spectral density.
Established a two-dimensional UV critical surface with critical exponents using a symmetrized Fredholm matrix discretization.
Mapped the phase diagram of universality classes in the interaction parameter space.
Identified critical exponents with $ heta_1 \approx 11.78$ and $ heta_2 \approx 1.42$ for dimensionality of the critical surface.
Found a near-marginal spectral sector where the third eigenvalue approaches zero, indicating a pseudo-marginal regime.
Demonstrated regulator stability across different cutoff profiles, confirming the robustness of the critical spectrum.

Cite This Study

Alik Gimranov (2026) studied this question.

synapsesocial.com/papers/6a6700bd40bca442e0d4abf8 https://doi.org/10.5281/zenodo.21558308

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Critical Exponents and Universality Classes of the Spectral Renormalization Group Flow in History-Dependent Gravity (Paper XLVI)

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Key Points

Cite This Study

Critical Exponents and Universality Classes of the Spectral Renormalization Group Flow in History-Dependent Gravity (Paper XLVI)

Discussion

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Implication

Key Points

Cite This Study

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