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This research aims to analyze the nonlinear renormalization group dynamics of spectral flow in history-dependent gravity.

July 27, 2026Open Access

Nonlinear Renormalization Group Dynamics in the Spectral Flow of History-Dependent Gravity (Paper XLV)

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Randomized trial investigates fixed points and phase structure in history-dependent gravity, suggesting important theoretical implications.

This research aims to analyze the nonlinear renormalization group dynamics of spectral flow in history-dependent gravity.
Examined the spectral density via closed projected beta functional in a cubic spectral truncation.
Classified the flow's fixed points based on stability properties and phase structure.
Analyzed the nonlinear differential equation governing the dynamics of the spectral flow.
Identified a Gaussian fixed point and nontrivial interacting fixed-point solutions.
Determined that stability properties depend on the linear and nonlinear terms' balance.
Described regimes of attraction, repulsion, and crossover behavior, indicating a complex phase structure.

Alik Gimranov (2026) studied this question.

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Randomized trial investigates fixed points and phase structure in history-dependent gravity, suggesting important theoretical implications.