Complete Rigorous Addendum to Navier-Stokes Equations in Three Dimensions via a Perturbed Lattice Framework - Unconditional Proofs of Uniform Estimates for Full Range δ ∈ (0, 1/4)

This addendum is the complete rigorous supplement to the main 35-page paper (Zenodo English Version 2) on global regularity for the viscous unforced Navier-Stokes equations in three dimensions. It provides the unconditional, self-contained proofs of the uniform estimates for the perturbed lattice framework: Lemma 2.1 including degree bound and cone condition, uniform Poincaré inequality, uniform Calderón-Zygmund and Schauder estimates of Proposition 1, exact discrete summation-by-parts of Lemma 7.1, uniform energy and bootstrap estimates of Lemma 7.3, torus periodized kernel lattice sum, discrete Aubin-Lions compactness and preservation of weighted moments. All constants depend only on the free parameter δ∈(0,1/4) via s(δ)=c1^3/(8(r*)^3) and are independent of ε and L. The full range (0,1/4) is unconditional and the results hold for both R^3 and T^3. Supplement to main paper Zenodo English Version 2.