IndisputableMonolith.ClassicalBridge.Fluids.Bridge
This module bundles specification-level requirements for bridging Recognition Science to Navier-Stokes fluids. It coordinates discrete state interfaces, LNAL spatial voxel arrays, and CPM instantiations with defect and energy functionals. Researchers deriving classical limits from the phi-ladder would reference this when establishing the required inequalities for fluid approximations. The module serves as a declarative bundle with no internal proofs.
claimThe RS-NS bridge specification requires a discrete state type $S$, functionals defectMass, orthoMass, energyGap satisfying CPM inequalities A/B/C, and a spatial LNAL state as an array of $(Reg6 × Aux5)$ voxels.
background
The module operates in the ClassicalBridge domain, which instantiates Recognition Science structures for classical physics. From the Discrete import, it adopts a minimal interface for discrete Navier-Stokes approximations that can relate to LNAL semantics and CPM tests. The LNAL import defines a bridge-local spatial state as an array of (Reg6 × Aux5) voxels extending the single-voxel VM. The CPM import requires concrete functionals and proofs of inequalities A/B/C to instantiate the domain-agnostic LawOfExistence core for fluids. The CPM doc states: 'For Navier–Stokes we must instantiate it with a state type (discrete NS state), concrete functionals (defectMass, orthoMass, energyGap, tests), and proofs of the required inequalities (A/B/C).'
proof idea
This is a definition module, no proofs. It assembles the three imported submodules into a single bridge bundle without additional lemmas or tactics.
why it matters in Recognition Science
This module establishes the spec-level foundation for the RS-NS bridge, directly supporting the sibling RSNSBridgeSpec. It enables connection of fluid dynamics to the Recognition Science forcing chain by providing the interface for CPM instantiation and LNAL spatial execution. Future work would use this to prove approximation results under the J-uniqueness and eight-tick octave constraints.
scope and limits
- Does not select a concrete discretization scheme for the Navier-Stokes equations.
- Does not provide proofs for the CPM inequalities A, B, or C.
- Does not implement the full spatial execution semantics beyond the interface definition.
- Does not incorporate specific boundary conditions or external forcing in the fluid model.