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.