What question did this study set out to answer?

This analysis aims to evaluate the effectiveness of using cluster κ-proxy extrapolation on SLACS early-type galaxies (ETGs).

June 22, 2026Open Access

CDN-332: The Proxy Test — Cluster κ-proxy extrapolation to SLACS ETGs

Key Points

This analysis aims to evaluate the effectiveness of using cluster κ-proxy extrapolation on SLACS early-type galaxies (ETGs).
Applied the locked CDN-242 7-term cluster κ-proxy on 20 SLACS ETG lenses.
Calibrated the proxy on galaxy clusters at eigenvalues between 17 and 25.
Assessed the impact of low eigenvalues on κ values.
Found κ = 1.0 for all 20 lenses due to quadratic curvature term dominance.
Determined the extrapolation fails to declare PASS or FAIL as R_DM remains at 0.94.
Concluded a separate galaxy-scale mechanism is required for the ν-to-proxy transition.

Abstract

We apply the locked CDN-242 7-term cluster κ-proxy to 20 SLACS early-type galaxy lenses from CDN-331. The proxy was calibrated on galaxy clusters at eigenvalue λ ~ 17-25. SLACS ETGs sit at λ ~ 3, a 100× mass extrapolation. Result: INAPPLICABLE. The quadratic curvature term b6· (ln λ − ln 17. 5) ² dominates at low eigenvalues, producing κ = 1. 0 for all 20 lenses — a sigmoid saturation artifact with no physical content. Neither PASS nor FAIL can be declared. RDM remains at 0. 94 (pure ν). D13 stands: the ν-to-proxy transition requires a separate galaxy-scale mechanism, not cluster-proxy extrapolation. Archive contains Art Edition PDF, computation script, build script, and results JSON.

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Cite This Study

Nicky Joseph Hubertus Catharina Hacquier (Sat,) studied this question.

synapsesocial.com/papers/6a38d17ada1bad9caca31112 https://doi.org/https://doi.org/10.5281/zenodo.20775186

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