Registry · Theorem V.T75 tau-effective formalized

V.T75 — Frozen-flux invariant

Frozen-flux invariant (Alfven's theorem): in ideal tau-MHD (Rm -> infinity), the magnetic flux through any material surface is conserved, d/dt integral_S B dot dS = 0; field lines move with the fluid. Follows from B-sector holonomy preservation under ideal flow.

Book V Part 4 Ch. 31

Dependency Graph

Depends on (2)

Depended on by (11)

Lean Formalization

Module: TauLib.BookV.FluidMacro.TauMHD

Symbol: Tau.BookV.FluidMacro.FrozenfluxInvariant