19 - Formalism: Science Can't Solve the Infinity of Water
The Void Dynamics Model Podcast · Justin Lietz
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Show Notes
This Complete Formalism (CF10) specifies a VDM “fluid sector” built from lattice hydrodynamics (lattice Boltzmann / discrete walkers / multi–relaxation-time kernels) expressed
in metriplectic form. The document has two tightly separated goals: (i) a discrete-level
contract—state space, generators, invariants/entropy, and a gate suite for global stability
and hydrodynamic consistency; and (ii) a conditional regularity program for incompressible
three-dimensional Navier–Stokes. The regularity component is intentionally framed as a
falsifiable hypothesis lattice rather than an analytic proof: the only genuinely hard PDE
step is isolated as an explicit A8-style conjecture requiring time-uniform geometric decay
of dyadic-shell enstrophy together with scale-wise dominance of dissipation over stretching.
Under this conjecture, a short lemma chain (Littlewood–Paley + Bernstein bounds →
Beale–Kato–Majda criterion) yields global smoothness. The deliverable is a publishable
program specification plus implementation-ready gates (Taylor–Green viscosity recovery,
cavity incompressibility, spectrum-tail decay, and refinement collapse) for a companion
notebook CFN10.