Pre-registered Euclid-Testable Predictions for the Imprinted Curvature Hypothesis (ICH)

Version 1.2 — Euclid-testable prediction pre-registration for ICH This document provides a pre-registered, Euclid-testable prediction set for the Imprinted Curvature Hypothesis (ICH). It is designed as a time-stamped checklist of expected observational outcomes, boundary conditions, and falsification criteria to be evaluated after future Euclid data releases and related analyses. Version 1.2 updates the prediction structure by adding Predictions 12–13 and aligning the node-environment terminology with ICH Version 3.1. The prediction set is organized into two groups: • P1–P10 — Core Statistical Imprint Tests: weak amplitude, large-scale coherence, redshift stability, absence of small-scale imprint structure, no required background expansion modification, and consistency with precision cosmology. • P11–P13 — The Cosmic Giant’s Two Faces and the Baryonic Trace: a node-environment testing program involving the Radiant Phase, Veiled Phase candidates, Dark Node environments, True Void control classification, and baryonic trace signatures. P11 tests whether massive luminous cosmic-web nodes show a residual enhancement of extreme quasars or active ultra-massive black-hole candidates. P12 tests whether massive node environments host faded, dormant, obscured, or low-accretion ultra-massive black-hole or quasar-remnant candidates, with Dark Nodes defined as the most distinctive high-contrast subclass: massive but underluminous node-like environments. P13 tests whether node-connected environments retain baryonic feeding, feedback, depletion, heating, expulsion, inflow, or redistribution signatures consistent with extreme node-linked growth histories. This document does not claim that ICH replaces particle dark matter, dark energy, or the standard cosmological parameter-fitting framework. ICH is treated here as a subdominant, non-dynamical geometric imprint hypothesis that must remain consistent with precision cosmology. The purpose of this file is to provide a fair, time-stamped reference for comparing ICH predictions against future Euclid observations without post-hoc modification. Related main manuscript: The Imprinted Curvature Hypothesis, Version 3.1 — Node-environment extension. DOI: 10.5281/zenodo.19924313. Licensing note: This prediction file is released under CC BY-NC-ND 4.0 to preserve attribution and prevent unauthorized commercial or modified derivative redistribution.