logVorticity
plain-language theorem explainer
The logVorticity definition projects the signed log-vorticity value from the center voxel of a given medium state. It serves as a φ-quantized proxy for log |ω| in discrete fluid models. Researchers modeling aether or light field dynamics in the Flight domain would reference this when constructing vorticity invariants. The definition is realized as a direct field access from the MediumState structure.
Claim. Let $S$ be a medium state whose center is a vorticity voxel $c$. Then $logVorticity(S) := c.logVorticity$, where the result is treated as a φ-quantized proxy for $log |ω|$.
background
The Flight.Medium module supplies a minimal discrete scaffold for the aether or light field. It defines a medium state interface that mirrors local patch evolution in the LNAL VM while remaining decoupled from the LNAL invariants subtheory during modernization. No continuum Navier-Stokes model is claimed.
proof idea
This definition is a one-line wrapper that projects the logVorticity field directly from the center component of the MediumState structure.
why it matters
This definition supports the absolute log-vorticity proxy and the MediumState interface inside the Flight module. It supplies the discrete vorticity proxy needed for Flight proofs and aligns with φ-quantization in the Recognition Science framework. It closes a scaffolding gap that allows the Flight domain to compile independently while LNAL invariants are updated.
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