The Death Certificate of Dark Matter: Gravitational Lensing via Non-Markovian K-Kernel Spacetime Memory

For decades, the standard cosmological model (Lambda-CDM) has relied on the hypothetical existence of Dark Matter to explain the anomalous deflection of light around massive galaxies. The observed gravitational lensing effect is significantly stronger than what visible baryonic mass can produce, leading physicists to postulate an invisible mass component. This paper formally challenges the Dark Matter hypothesis by presenting a deterministic alternative using the K-Kernel framework. We demonstrate that gravitational lensing is not caused by hidden mass, but by the non-local, non-Markovian memory of the spacetime fabric. By introducing a spatial memory kernel into the effective gravitational potential, we show that the 'historical' curvature of spacetime naturally bends light rays (geodesics) far beyond the classical Newtonian prediction. Our numerical ray-tracing simulation reveals that the K-Kernel potential generates a lensing pattern (caustics) that perfectly mimics a massive Dark Matter halo. This provides a mathematically rigorous, physically motivated explanation for one of the most profound mysteries in modern astrophysics. We present this work as a formal "Death Certificate" for the Dark Matter hypothesis, opening a new era of non-Markovian cosmology.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-07
DOI
https://doi.org/10.5281/zenodo.24032072
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

The Death Certificate of Dark Matter: Gravitational Lensing via Non-Markovian K-Kernel Spacetime Memory

MOHAMMED TAHAR SAIM
1 links
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

The Death Certificate of Dark Matter: Gravitational Lensing via Non-Markovian K-Kernel Spacetime Memory

MOHAMMED TAHAR SAIM
preprint en

Abstract

For decades, the standard cosmological model (Lambda-CDM) has relied on the hypothetical existence of Dark Matter to explain the anomalous deflection of light around massive galaxies. The observed gravitational lensing effect is significantly stronger than what visible baryonic mass can produce, leading physicists to postulate an invisible mass component. This paper formally challenges the Dark Matter hypothesis by presenting a deterministic alternative using the K-Kernel framework. We demonstrate that gravitational lensing is not caused by hidden mass, but by the non-local, non-Markovian memory of the spacetime fabric. By introducing a spatial memory kernel into the effective gravitational potential, we show that the 'historical' curvature of spacetime naturally bends light rays (geodesics) far beyond the classical Newtonian prediction. Our numerical ray-tracing simulation reveals that the K-Kernel potential generates a lensing pattern (caustics) that perfectly mimics a massive Dark Matter halo. This provides a mathematically rigorous, physically motivated explanation for one of the most profound mysteries in modern astrophysics. We present this work as a formal "Death Certificate" for the Dark Matter hypothesis, opening a new era of non-Markovian cosmology.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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