V1
The Imprinted Curvature Hypothesis
Initial 91-page formulation and thirteen-anomaly survey.
Publication
timeline.
Successive versions narrow the hypothesis, strengthen its mathematical framing and convert qualitative ideas into operational tests.
V2
A Geometric Framework for Dark Matter, Dark Energy, and Cosmological Tensions
Reorganized geometric framework and expanded mathematical development.
V3
A Geometric Framework for Cosmological Tensions and Large-Scale Observables
Major revision: unmodified-GR initial-data formulation, ADM and perturbative discipline.
V3.1
Node-Environment Extension
Adds the explicit P11–P13 Radiant Phase, Veiled Phase / Dark Node and Baryonic Trace program.
V3.2
A Geometric Framework for Cosmological Tensions and Large-Scale Observables
Archived release. Refines the mathematical and observational presentation, adds carefully bounded post-V3.1 context, and preserves the previously defined P1–P13 structure.
V4
The Imprinted Curvature Hypothesis
Consolidated mathematical formulation with explicit ADM-constraint-satisfying initial data, unified observable forward models, CAMB/CLASS validation, a Planck PR3 low-ℓ benchmark, and released reproducibility code.
POST-V4 VALIDATION SUPPLEMENT · 06 SEP 2026Planck low-ℓ T+E robustness
Planck low-ℓ T+E robustness
and internal replication
The exploratory full-map candidate is localized to very low multipoles, but its significance weakens under corrected polarization-mask calibration and does not replicate across Planck half-mission splits. It is reported as prediction-consistent, not as CMB evidence for ICH.
Full map: p = 0.02390Cross-refit: p = 0.3565NO DETECTION CLAIM
Primary archival record
DOI10.5281/zenodo.17672445 Zenodo concept DOI
The concept DOI resolves to the versioned ICH archive and is the stable citation entry point.
Pre-registration record
Prepared: 17 January 2026 · P11 added: 1 February 2026 · P12–P13 added: 30 April 2026
The file is designed for comparison with later Euclid releases without post-hoc rewriting.