Davidenko Absolute λ₀ = 766.490234 nm: Fundamental Length Scale from Discrete Geometric Physics — Derivation, Physical Mechanism, and Experimental Predictions

Within the framework of Discrete Geometric Physics (DGP), it is established that λ₀ = 766.490234 nm is a fundamental length scale that emerges as the solution to the variational problem of minimising the energy of solitonic excitations in the 26‑vertex cubic lattice. λ₀ is derived exclusively from the topological invariants Σw = 14, θ = arcsin(1/√3), φ = (1+√5)/2, and the hierarchy level N = 88, without empirical fitting. This work presents the complete derivation of soliton energy minimisation with the lattice dispersion relation; the physical mechanism of critical tension leading to the birth of an achromatic black soliton; the soliton equation of motion and its stability at k₀ = 2π/λ₀; the connection of λ₀ with the fine‑structure constant α through the operator Δ = α/6; and four direct experimental predictions with expected statistical significance. It is shown that λ₀ replaces the Planck length as the natural ultraviolet cutoff in the optical and biological ranges, explaining the «window of life» (650–950 nm) and DNA resonances. λ₀ is a central element of the RESTORE protocol for recording information in DNA and opens new directions in bio‑photonics, quantum biology, and precision metrology. All numerical values are derived from lattice geometry and variational minimisation equations, without empirical fitting to experimental data.