What question did this study set out to answer?

This research aims to validate the MEON N194 model against strong-lensing data and CMB measurements.

May 20, 2026Open Access

The Karahan-Einstein Framework / MEON V50: Direct SLACS Lensing and Strict Planck TT CMB Audit Release (R125–R130)

Key Points

This research aims to validate the MEON N194 model against strong-lensing data and CMB measurements.
Performed direct real-data SLACS strong-lensing audit using 43 lens systems.
Conducted strict local Planck TT binned CMB audit with genuine Planck files and 83 TT bins.
Excluded virtual environments and test data to ensure accuracy.
MEON N194 achieved a median absolute Einstein-radius error of 0.135965, supporting its candidacy for strong-lensing.
R130_FIXED_STRICT had a reduced χ² of 1.328909, closely aligned with ΛCDM's χ² of 1.318664 (MEON/ΛCDM ratio of 1.007770).
The baryon-only model showed a catastrophic reduced χ² of 902.763772, indicating it fails significantly compared to MEON.

Abstract

This release presents the R125–R130 master package of the Karahan-Einstein Framework / MEON V50, extending the previous galaxy-rotation and anti-cheat audit chain with direct strong-lensing and CMB validation. R125 performs a direct real-data SLACS strong-lensing audit using 43 observed lens systems. The MEONDIRECTN194 lens equation passes the held-out SLACS test thresholds with a test median absolute Einstein-radius error of 0. 135965, a mean absolute error of 0. 126607, 25% coverage of 0. 846154, and test χ² = 28. 274977. This supports MEON as a direct galaxy-scale strong-lensing candidate. R130FIXEDSTRICT performs a validated local Planck 2018 TT binned CMB audit. The audit uses the genuine Planck file COMPowerSpectCMB-TT-binnedR3. 01. txt and excludes virtual environments, site-packages, SciPy test data, and old output folders. The strict audit uses 83 TT bins and passes all R130F claim checks. MEON N194 achieves a held-out reduced χ² of 1. 328909, compared with ΛCDM at 1. 318664, giving a MEON/ΛCDM ratio of 1. 007770. In contrast, the baryon-only model gives reduced χ² = 902. 763772, corresponding to a baryon/MEON ratio of 679. 326753. Together, R125 and R130 show that MEON N194 passes direct SLACS strong-lensing validation and a strict local Planck TT binned CMB audit nearly at ΛCDM level, while baryon-only fails catastrophically. Scientific caution: This release does not claim a full official Planck clik TT/TE/EE likelihood replacement. R130FIXEDSTRICT is a strict local Planck TT binned audit. Full official Planck clik TT/TE/EE validation remains future work. Keywords: Karahan-Einstein Framework; MEON; Dark Matter Alternative; Spacetime Torsion; Galactic Rotation Curves; SLACS Strong Lensing; Planck 2018; CMB; ΛCDM; CAMB; Cosmology; R125; R130

The Karahan-Einstein Framework / MEON V50: Direct SLACS Lensing and Strict Planck TT CMB Audit Release (R125–R130)

Key Points

Abstract

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