NSParams
plain-language theorem explainer
NSParams supplies the minimal parameters for a discrete incompressible Navier-Stokes model, namely spatial dimension defaulting to 3 and kinematic viscosity defaulting to 1. Researchers bridging Recognition Science to classical fluid dynamics cite it when specifying discrete approximations that later connect to LNAL semantics or CPM energy tests. The definition is a plain structure with defaults and a separate validity predicate that avoids hidden coercions.
Claim. Parameters for a discrete incompressible Navier-Stokes model consist of a spatial dimension $d$ (default 3) and kinematic viscosity $ν$ (default 1), subject to the validity condition $0 < ν$ and $d ≥ 2$.
background
The module supplies a minimal interface for discrete Navier-Stokes approximations without selecting a discretization scheme such as Galerkin or grid methods. It prepares connections to LNAL spatial execution semantics and CPM instantiations that track defects and energy functionals. Upstream structures include nuclear-density tiers from NucleosynthesisTiers.of, local cellular-automaton rules from CellularAutomata.step, J-cost structures from PhiForcingDerived.of, and the active-edge count A from IntegrationGap that enforces the φ-power balance identity at D = 3.
proof idea
The declaration is a structure definition that supplies default values for dimension and viscosity. An auxiliary predicate is defined separately to enforce positive viscosity and dimension at least 2, keeping the structure free of hidden coercions.
why it matters
The structure is referenced by RSNSBridgeSpec to bundle bridge requirements and by DiscreteModel to define state types and time-stepping. It supplies the parameter interface for the classical fluids bridge, allowing discrete models to approximate Navier-Stokes while remaining compatible with Recognition Science constructs such as the φ-ladder and eight-tick octave. No open scaffolding questions are closed here.
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