M21 - A Cosmological geometrical Model V2

This paper presents version 2.0 of the M²¹ cosmological model, built on an axially symmetric anisotropic metric defined by three fundamental parameters. Key updates from v1 include: Structural Justification: The gravitational amplification exponent is rationalized as g0=ξ021/4 , derived from the model's 21-dimensional structure ( 3×7 ). Hubble Tension Resolved: A purely dimensional ratio (21/17)1/3 resolves the tension at 0.7$\sigma$ (SH0ES) and 1.3$\sigma$ (Planck), with zero free parameters. Cosmological Parameters: The model reproduces ΩΛ with 1.0$\sigma$ precision using the relation ΩΛ=6/21×ξ0 . CMB Compatibility: A triple-brane mechanism is proposed to explain CMB isotropy ( ΔT/T∼10−5 ) despite matter grid anisotropy. The model simultaneously resolves the Pioneer anomaly (0.5% deviation), galactic rotation curves without dark matter (97.71% precision on 175 SPARC galaxies), and JWST high-z galaxy anomalies via proper time extension.