Spacetime Geometric Memory as an Effective Dark Halo

What if the gravitational field does not adjust instantaneously to matter, but carries a finite memory of its past? We test this idea with a constitutive framework where weak-field spacetime relaxes over a local clock, τ. Calibrated exclusively with SPARC rotation curves (τ≃36.6 Myr) and held fixed thereafter, this single clock predicts the gas-lensing offset in cluster mergers (r=0.925), reproduces the isolated GAMA lensing profile (χ2/N=1.22), and recovers the environmental dependence of peculiar velocities (ΔAIC=54.3). When carried into the native Planck 2018 TT/TE/EE+lensing likelihood, the externally calibrated clock yields a fit indistinguishable from ΛCDM (Δχ2=−0.046). A joint analysis with BAO, Pantheon+, and growth improves over ΛCDM by Δχ2=−11.92 (ΔAIC=−7.92). Weak lensing independently measures the optical response of the residual geometry at 8.5σ, separating the relaxation clock from the lensing projection. The evidence suggests a structural degeneracy: part of the effective halo may be delayed curvature rather than unseen particulate mass alone.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-30
DOI
https://doi.org/10.5281/zenodo.21082034
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

Spacetime Geometric Memory as an Effective Dark Halo

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

Spacetime Geometric Memory as an Effective Dark Halo

Alejandro Rey
preprint en

Abstract

What if the gravitational field does not adjust instantaneously to matter, but carries a finite memory of its past? We test this idea with a constitutive framework where weak-field spacetime relaxes over a local clock, τ. Calibrated exclusively with SPARC rotation curves (τ≃36.6 Myr) and held fixed thereafter, this single clock predicts the gas-lensing offset in cluster mergers (r=0.925), reproduces the isolated GAMA lensing profile (χ2/N=1.22), and recovers the environmental dependence of peculiar velocities (ΔAIC=54.3). When carried into the native Planck 2018 TT/TE/EE+lensing likelihood, the externally calibrated clock yields a fit indistinguishable from ΛCDM (Δχ2=−0.046). A joint analysis with BAO, Pantheon+, and growth improves over ΛCDM by Δχ2=−11.92 (ΔAIC=−7.92). Weak lensing independently measures the optical response of the residual geometry at 8.5σ, separating the relaxation clock from the lensing projection. The evidence suggests a structural degeneracy: part of the effective halo may be delayed curvature rather than unseen particulate mass alone.

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