From b95f1d9678205a426771968bf3c3907946ec16ee Mon Sep 17 00:00:00 2001
From: Allaun Silverfox <28494262+allaunthefox@users.noreply.github.com>
Date: Sun, 17 May 2026 10:10:15 -0500
Subject: [PATCH] Add Plasma Chiral Drag Witness Gate documentation

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+# 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:
+
+```text
+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:
+
+```math
+\phi
+=
+\frac{1}{2}\frac{\Omega}{\omega}k_{\parallel}
+\sim
+\frac{1}{2}\frac{\Omega}{v_A}
+```
+
+Total image rotation over path length `L`:
+
+```math
+\Delta\Theta_{\mathrm{img}}
+\approx
+L\phi
+\approx
+\frac{L\Omega}{2v_A}
+```
+
+Plasma rotation from radial electric potential in a magnetized plasma:
+
+```math
+\Omega
+=
+\frac{1}{rB_0}\frac{\partial \varphi}{\partial r}
+```
+
+Combined project-use form:
+
+```math
+\Delta\Theta_{\mathrm{img}}
+\approx
+\frac{L}{2v_A}
+\left(
+\frac{1}{rB_0}\frac{\partial\varphi}{\partial r}
+\right)
+```
+
+## Residual receipt
+
+```math
+R_{\mathrm{chiral\ drag}}
+=
+\left|
+\Delta\Theta_{\mathrm{obs}}
+-
+\frac{L\Omega}{2v_A}
+\right|
+```
+
+Pass condition:
+
+```math
+R_{\mathrm{chiral\ drag}}\le \Theta_{\mathrm{tol}}
+```
+
+Scar condition:
+
+```math
+R_{\mathrm{chiral\ drag}}>\Theta_{\mathrm{tol}}
+```
+
+## Universal shortcut packet
+
+```math
+\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:
+
+```math
+\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
+
+```math
+\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
+
+```text
+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:
+
+```text
+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:
+
+```bibtex
+@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.