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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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A Non-local Memory Extension of General Relativity: From Quantum Lindblad Dynamics to Galactic and Cosmological Phenomenology

Authors: Jerse, Hamidreza;

A Non-local Memory Extension of General Relativity: From Quantum Lindblad Dynamics to Galactic and Cosmological Phenomenology

Abstract

We present a unified framework in which the dark matter and dark energy phenomena are interpreted as the macroscopic manifestation of a quantum memory field — the K¯arn¯amag tensor K µ ν . The theory is built upon a minimal extension of general relativity in which the Einstein equations are sourced by the sum of the baryonic stress-energy and K µ ν . The dynamics of the memory tensor are derived from a quantum Lindblad equation, where spacetime is treated as an open system interacting with a bath of Planck-scale causal horizons. The resulting Langevin equation, after noise averaging and taking the overdamped limit, reduces to a causal, density-dependent diffusion–decay equation. On galactic scales, the memory field is described by a convolution kernel whose parameters are not universal constants but emergent properties of a single fundamental function — the horizon density of states n h (I, H). Calibrating this function with only two galaxies (NGC 6503 and NGC 7331) yields a self-consistent prediction for a third galaxy (NGC 2403) that matches observational data. The same scaling relations naturally explain the dynamics of ultra-diffuse galaxies (NGC 1052-DF2) and the cores of dwarf galaxies (DDO 154) without fine-tuning, addressing long-standing tensions of the ΛCDM paradigm. To resolve multi-scale tensions, we promote the smoothing parameter to a dynamic “cosmic effective mass” m cosmo ( ρ b , z) driven by the background baryon density. This screening mechanism regularizes the memory accumulation in dense environments, successfully reconciling the framework with the early massive galaxies observed by JWST at z ∼ 10, and perfectly tracing the joint strong-and-weak lensing surface density profile (Σ(R)) of the massive cluster MACS J1206.2-0847 without cold dark matter particles. The model remains ghost-free, causal, recovers General Relativity in the Solar System via environmental screening, and offers a humble yet consistent exploration of non-local gravitational memory across galactic and cosmological scales.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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