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PreprintCC BY 4.0Zenodo

Spacetime Has a Relaxation Time: A Constitutive Completion of Weak-Field Gravity

  • Alejandro Rey1
  1. 1Independent Researcher
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Abstract

Starting from the retarded solution of linearized General Relativity and coarse-graining over galactic scales, a minimal constitutive law emerges — one that requires no new particles, only a finite relaxation time for the weak-field geometric response.

The same framework predicts, without fitting to lensing data, an optical projection amplitude A_rel = 19/15 = 1.267, matching the KiDS/GAMA weak-lensing measurement at 0.01σ.

Multi-regime tests across galactic rotation curves, halo-mass benchmarks, strong lensing, radio-relic cluster mergers, and peculiar velocity environments all support the same constitutive response.

The result is a compact, falsifiable effective theory in which dark-sector phenomenology is delayed weak-field geometry rather than unseen mass.

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Cite

BibTeXRIS
BibTeX
@misc{rey2026spacetime,
  title = {{Spacetime Has a Relaxation Time: A Constitutive Completion of Weak-Field Gravity}},
  author = {Alejandro Rey},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23668684},
  url = {https://zenodo.org/records/23668684},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Spacetime Has a Relaxation Time: A Constitutive Completion of Weak-Field Gravity
AU  - Alejandro Rey
PY  - 2026
DA  - 2026/10/26
PB  - Zenodo
DO  - 10.5281/zenodo.23668684
UR  - https://zenodo.org/records/23668684
AB  - Starting from the retarded solution of linearized General Relativity and coarse-graining over galactic scales, a minimal constitutive law emerges — one that requires no new particles, only a finite relaxation time for the weak-field geometric response.  The same framework predicts, without fitting to lensing data, an optical projection amplitude A_rel = 19/15 = 1.267, matching the KiDS/GAMA weak-lensing measurement at 0.01σ.  Multi-regime tests across galactic rotation curves, halo-mass benchmarks, strong lensing, radio-relic cluster mergers, and peculiar velocity environments all support the same constitutive response.  The result is a compact, falsifiable effective theory in which dark-sector phenomenology is delayed weak-field geometry rather than unseen mass.
ER  -