Research-Stack/6-Documentation/famm/PLASMA_CHIRAL_DRAG_WITNESS_GATE.md

Plasma Chiral Drag Witness Gate

Purpose

Add Alfvén-wave image rotation in rotating magnetized plasma as a physical witness model for torsion/chirality receipts.

The external source is Gueroult et al., Image rotation in plasmas, arXiv:2505.18062. The paper reports observation of image rotation: dragging of a wave's transverse structure by a moving medium, using Alfvén waves in plasma where the group velocity is slow enough for the drag to be measurable.

Project translation:

hidden rotating plasma medium
→ Alfvén wave transverse image rotation
→ signed chirality / torsion witness
→ residual receipt
→ FAMM scar or pass

Citeable equation

Image-rotation rate per unit length:

\phi
=
\frac{1}{2}\frac{\Omega}{\omega}k_{\parallel}
\sim
\frac{1}{2}\frac{\Omega}{v_A}

Total image rotation over path length L:

\Delta\Theta_{\mathrm{img}}
\approx
L\phi
\approx
\frac{L\Omega}{2v_A}

Plasma rotation from radial electric potential in a magnetized plasma:

\Omega
=
\frac{1}{rB_0}\frac{\partial \varphi}{\partial r}

Combined project-use form:

\Delta\Theta_{\mathrm{img}}
\approx
\frac{L}{2v_A}
\left(
\frac{1}{rB_0}\frac{\partial\varphi}{\partial r}
\right)

Residual receipt

R_{\mathrm{chiral\ drag}}
=
\left|
\Delta\Theta_{\mathrm{obs}}
-
\frac{L\Omega}{2v_A}
\right|

Pass condition:

R_{\mathrm{chiral\ drag}}\le \Theta_{\mathrm{tol}}

Scar condition:

R_{\mathrm{chiral\ drag}}>\Theta_{\mathrm{tol}}

Universal shortcut packet

\Gamma_{\mathrm{plasma\ drag}}
=
(
X_{\mathrm{plasma}},
\pi_{\mathrm{wave}},
W_{\Delta\Theta},
R_{\Omega},
I_{\mathrm{angular}},
G_{\mathrm{Alfven}},
K,
\epsilon
)

Meaning:

Packet term	Meaning
X_plasma	hidden rotating magnetized plasma state
π_wave	projection through Alfvén-wave propagation
W_ΔΘ	observed image-rotation witness
R_Ω	reconstruction/estimate of plasma rotation
I_angular	angular/torsion/chirality invariant
G_Alfven	guard: Alfvén wave, magnetized plasma, slow group velocity, known path geometry
K	cost of measuring wave image versus direct medium state
ε	residual between observed and predicted twist

BraidStorm crossing receipt

A braid crossing may now carry chiral drag:

\beta_{ij}:
(s_i,s_j)
\to
(s_i',s_j',r_{ij},\epsilon_{ij},\Omega_{ij},\Delta\Theta_{ij})

where DeltaTheta_ij is the signed wave/image twist witness for the crossing environment.

FAMM object

\mathfrak C_{\mathrm{PlasmaChiralDrag}}
=
A_{16}(u_{\mathrm{plasma\_drag}})
\otimes
[
\Sigma_{\mathrm{medium}}
+
\Sigma_{\Omega}
+
\Sigma_{B_0}
+
\Sigma_{v_A}
+
\Sigma_L
+
\Sigma_{\Delta\Theta}
+
\Sigma_{\chi}
+
\Sigma_{\epsilon}
+
\Sigma_{\mathrm{receipt}}
]

Stack placement

PLASMA_CHIRAL_DRAG_WITNESS_GATE
→ BraidStorm crossing receipt
→ PIST torsional transition logic
→ FAMM torsion/chirality scar ledger
→ NUVMAP wave/medium address
→ BJW Judge checks sign reversal and residual

Warden boundaries

Do not overclaim this gate as light in vacuum, universal wave twisting, or literal proof of every torsion model.

This gate is valid as a project primitive under the narrower condition:

rotating magnetized plasma + Alfvén wave transverse structure + measured image rotation

The equation is a witness model, not a universal plasma theorem.

Citation

Recommended short citation:

@misc{gueroult2025image_rotation_plasmas,
  title         = {Image rotation in plasmas},
  author        = {Renaud Gueroult and Shreekrishna K. Tripathi and Jia Han and Patrick Pribyl and Jean-Marcel Rax and Nathaniel J. Fisch},
  year          = {2025},
  eprint        = {2505.18062},
  archivePrefix = {arXiv},
  primaryClass  = {physics.plasm-ph},
  doi           = {10.48550/arXiv.2505.18062}
}

Project sentence

Plasma chiral drag can be modeled by DeltaTheta_img ≈ L Omega/(2 v_A): a rotating magnetized plasma drags the transverse structure of an Alfvén wave, so observed image rotation becomes a signed torsion/chirality receipt for hidden medium rotation.