Davidenko Absolute λ₀ = 766.490234 nm: Fundamental Length Scale from Discrete Geometric Physics — Derivation, Physical Mechanism, and Experimental Predictions
Year: 2026
Type: article
Abstract: This work establishes that λ₀ = 766.490234 nm is a fundamental length scale arising from the geometry of the 26‑connected cubic lattice within Discrete Geometric Physics (DGP). The scale is derived exclusively from the topological invariants Σw = 14, θ = arcsin(1/√3), φ = (1+√5)/2, and the hierarchy level N = 88, without any empirical fitting. The paper presents: (i) the complete derivation of soliton energy minimisation with the lattice dispersion relation; (ii) the physical mechanism of critical lattice tension leading to the birth of an achromatic black soliton; (iii) the soliton equation of motion and its stability at k₀ = 2π/λ₀; (iv) the connection of λ₀ with the fine‑structure constant α through the operator Δ = α/6; and (v) 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 without empirical fitting. This updated version includes the complete English translation, refined derivations, expanded experimental protocols, and full Python code for reproduction.
Author: Ivan Davidenko
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7166475673