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This work aims to complete the quantum formulation of History-Dependent Gravity by establishing a rigorous quantum environment realization.

August 2, 2026Open Access

Quantum Dynamics from Spectral Memory: A Non-Markovian Completion of History-Dependent Gravity (Paper LVI)

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Randomized trial demonstrates new quantum dynamics framework in gravity, suggesting novel test criteria.

This work aims to complete the quantum formulation of History-Dependent Gravity by establishing a rigorous quantum environment realization.
Demonstrated a microscopic system-environment decomposition to derive the non-Markovian master equation.
Established the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation as the Davies limit of HDG.
Computed decoherence rates explicitly as functions of spectral density via renormalization group flow.
The memory kernel K(t) is shown to coincide with the environment correlation function, supporting the theory at a microscopic level.
Decoherence rates are determined as γ_i(ω_i) = 2π J_i(ω_i), impacting quantum dynamics significantly.
Predicted survival probability follows a universal form P(t) = 1 - αt² + O(t³), providing testable criteria for experiments.

Alik Gimranov (2026) studied this question.

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