Hubble Tension in Discrete Geometric Physics: Geometric Explanation of the Discrepancy in Measurements of the Hubble Constant

The Hubble tension is one of the most discussed contradictions in modern cosmology. Measurements of the Hubble constant H₀ from the early Universe (CMB) and from the late Universe (Cepheids, supernovae) give values that differ by ∼5–6 standard deviations: 67.4 km/s/Mpc (Planck) vs 73.0 km/s/Mpc (SH0ES). This discrepancy may indicate new physics beyond ΛCDM. In Discrete Geometric Physics (DGP), space is a 26‑vertex cubic lattice with the topological invariant Σw = 14. The gravitational constant is a function of the hierarchy level N: Geff(N)=G⋅22(116−N)Geff(N)=G⋅22(116−N). This means the strength of gravity depends on the scale of observation. The CMB is measured on the cosmological scale (N≈204), while local measurements are made on the scale of order Mpc (N≈142). We solve the Friedmann equations with variable G(t) numerically. The solution gives H0(204)=67.4H0(204)=67.4 km/s/Mpc and H0(142)=73.0H0(142)=73.0 km/s/Mpc, in full agreement with observations. The Hubble tension is resolved without introducing new physics. All parameters are derived from geometric invariants and numerical solution of minimisation equations; no fitting parameters are used. The theory predicts a scale‑dependent H₀, which can be tested by future gravitational‑wave experiments (LISA, Einstein Telescope).