Nonary dynamic geometry and physics

This treatise develops a geometric approach to understanding and explaining physics.: from a three-dimensional space studied as a saturated base-9 Cosserat lattice, evolving in physics to a visco-elastic micropolar medium, with Kelvin–Voigt-type response and constitutive properties that depend on its local state of deformation. Particles and fields are interpreted through the waves, defects and geometric configurations of this medium.The 9³ = 729-state cell—written ⟨999⟩ reference in NDG’s ordinal, serves as the geometric and topological reference for a neutral, unstrained state, from which physics happen and nature evolves. From four postulates and a declared constitutive identification, with no continuously fitted parameter, these coefficients give: - the weak mixing angle as one deformation trajectory, from 2/9 (neutral lattice) through 144/625 (membrane strain) to the measured 0.2313;- the muon-to-electron mass ratio, 207 − 144/625 = 206.7696 (6 ppm), the fine-structure constant (0.2 ppm) and the Higgs vacuum expectation value (0.4%);- the proton magnetic moment, μp/μN = 8π/9 (0.011%), and the proton charge radius, 0.8412 fm from a Bessel cavity dilated by the auxetic strain 32/729 (0.04% from muonic hydrogen);- the B-DNA waveguide, with fill factor 0.540 (Franklin's 0.54) and a bandwidth (4/9)³ × 729 = 64 read against the 64 codons;- ΩΛ/Ωm = 54/25 (0.7%), ΩDM/Ωb = 340/63 (0.6%), the spectral tilt ns = 0.9667 (0.4σ), and a form-dependent gravity law with the galactic acceleration scale cH0/2π. Falsifiable consequences include a neutrino mass sum of 0.06 eV with a massless lightest state (at the edge of current DESI bounds), a dark-energy equation of state w = −77/81, a sonoluminescence collapse ratio of 9, and a density-dependent Hubble ratio reaching 13/12 in dense environments (conjecture). Each result states its status, hypotheses and refutation test; a cross-domain discriminant reaches 3.4σ under its null model. Version 2.0 (1,219 pages) supersedes v1.0, "Nonary dynamic geometry and physics", with LaTeX sources and available verification scripts.