Dark Components as Informational Fields in Discrete Geometric Physics: Geometric Derivation of Dark Matter and Dark Energy from the 26 Vertex Cubic Lattice

Modern cosmology faces two fundamental mysteries: dark matter and dark energy constitute about 95% of the Universe's content, but their nature remains unknown. The Standard ΛCDM model introduces them phenomenologically, without explaining their origin. In Discrete Geometric Physics (DGP), space is a 26‑vertex cubic lattice with the topological invariant Σw = 14. All physical fields arise from displacements on the lattice edges. In this work we show that dark matter and dark energy are not new entities, but informational states of the lattice. Dark matter is derived as the tension of diagonal bonds (weight w_V = 1/4), creating an effective gravitational field. Its density profile is ρDM(r)=ρ0(a0/a(r))3⋅1/56ρDM(r)=ρ0(a0/a(r))3⋅1/56, which yields flat galaxy rotation curves in agreement with observations (Milky Way, M31, NGC 6503, UGC 1281) to within <2%. Dark energy is derived as informational pressure generated by bounce cycles on the outer shell N=205. The equation of state parameter is predicted to be wDE=−1.03wDE=−1.03, matching DESI observations. The cosmological constant Λ=1.1⋅10−52Λ=1.1⋅10−52 m⁻² agrees with Planck 2018. The Hubble tension is resolved through the scale‑dependent effective gravitational constant Geff(N)=G⋅22(116−N)Geff(N)=G⋅22(116−N), giving H₀(CMB)=67.4 and H₀(local)=73.0 km/s/Mpc. All parameters are derived from geometric invariants (Σw=14, θ=arcsin(1/√3), φ=(1+√5)/2) and numerical solution of minimisation equations on the lattice. No fitting parameters are introduced. The theory provides testable predictions including discrete signals in gravitational waves (f₀ ≈ 10–100 Hz), spectral lines of twistons (λ = 766.490234 nm, E = 16.755 MeV), a 21‑cm anomaly (E = 1.68 μeV), and deviations from ΛCDM at large scales (Ω_GW(f) ∝ f^(−2/3)).