TRUE-COSMOLOGY I – FORMALISATION OF THE TRUE COSMIC LATTICE Rewriting Einstein's equations on a discrete lattice with minimal step h₀ = ξ/γ₀

General relativity rests on the assumption of a continuous spacetime ℝ⁴, infinitely divisible. This assumption produces singularities (Big Bang, black holes) which are artifacts of the formalism, not properties of reality. The TRUE framework replaces infinite fractioning with finite fractioning, with a minimal step h₀ linked to the universal invariant γ₀ = 0.13648 by h₀ = ξ/γ₀, where ξ is the coherence length of the K field. We rewrite Einstein's equations on a discrete spacetime lattice, replacing continuous derivatives with finite differences. We show that the Big Bang singularity is replaced by a finite maximum density ρ_max = ρ_Planck · γ₀. The Friedmann equations are reformulated in discrete form. Conservation laws and Lorentz symmetry are preserved macroscopically. This work lays the foundations for a cosmology without singularities, where gravity is a manifestation of the K field.