The Karahan-Einstein Framework / MEON V50: Direct SLACS Lensing and Official Planck TTTEEE Likelihood Release (R125-R131)

This release presents the R125-R131 master package of the Karahan-Einstein Framework / MEON V50. It extends the previous galaxy-rotation and anti-cheat audit chain with direct strong-lensing validation, strict Planck 2018 TT binned CMB validation, and an official Planck Plik-lite TTTEEE clik/clipy likelihood evaluation. R125 performs a direct real-data SLACS strong-lensing audit using 43 observed lens systems with a 30/13 train-test split. The MEON_DIRECT_N194 lens equation passes the held-out SLACS thresholds with test median absolute Einstein-radius error 0.135965, mean absolute error 0.126607, 25 percent coverage 0.846154, and test chi2 28.274977. MEON beats the SIS baseline in held-out chi2 and improves over baryon-only in chi2, while retaining a caution that baryon-only has a slightly lower median absolute error. R130_FIXED_STRICT performs a validated local Planck 2018 TT binned CMB audit using the genuine Planck file COM_PowerSpect_CMB-TT-binned_R3.01.txt with 83 TT bins. MEON N194 obtains test reduced chi2 1.328909 versus Lambda-CDM 1.318664, giving a MEON/Lambda-CDM ratio 1.007770. Baryon-only gives test reduced chi2 902.763772, corresponding to a baryon/MEON ratio 679.326753. R131 performs an official local Planck Plik-lite TTTEEE clik/clipy likelihood evaluation using plik_lite_v22_TTTEEE.clik. The backend is clipy, the selected likelihood is Plik-lite TTTEEE, and R131 passes all official-clik claims. MEON N194 yields raw likelihood -292.399960 versus Lambda-CDM -292.211674, corresponding to Delta(-2 logL) = 0.376571 relative to Lambda-CDM. Baryon-only gives raw likelihood -941846.560704, corresponding to Delta(-2 logL) = 1,883,108.698061. Scientific caution: R131 is an official fixed-parameter Plik-lite TTTEEE likelihood evaluation. It is not yet a full nuisance-marginalized Cobaya/MontePython MCMC over the complete Planck likelihood. Full nuisance-marginalized validation, cluster lensing, and large-scale-structure tests remain future work. Keywords:Karahan-Einstein Framework; MEON; Dark Matter Alternative; Spacetime Torsion; SLACS Strong Lensing; Planck 2018; CMB; Plik-lite; TTTEEE; clik; clipy; CAMB; Lambda-CDM; Cosmology; R125; R130; R131