From 397913ae3fd8762bafa10b341fd84fdde431ec86 Mon Sep 17 00:00:00 2001
From: Allaun Silverfox <28494262+allaunthefox@users.noreply.github.com>
Date: Thu, 2 Jul 2026 03:41:30 +0200
Subject: [PATCH] Remove rotational_wave_braid_correspondence.md

---
 docs/rotational_wave_braid_correspondence.md | 62 --------------------
 1 file changed, 62 deletions(-)
 delete mode 100644 docs/rotational_wave_braid_correspondence.md

diff --git a/docs/rotational_wave_braid_correspondence.md b/docs/rotational_wave_braid_correspondence.md
deleted file mode 100644
index 860f8cf1..00000000
--- a/docs/rotational_wave_braid_correspondence.md
+++ /dev/null
@@ -1,62 +0,0 @@
-# Rotational Wave — Braid Correspondence (conjecture)
-
-Mapping between Rossby/Kelvin wave phenomenology and the 8-strand
-BraidStorm eigensolid framework. Not part of the formal build surface.
-
-## Correspondence Table
-
-| Geophysical | Braid analog | Mechanism |
-|-------------|-------------|-----------|
-| Planetary vorticity gradient β | Strand-index potential | Higher-index strands resist crossing more (braid "latitude") |
-| Rossby dispersion ω = −βk/(k²+l²) | Braid-word frequency splitting | Long words → slow spectral evolution; short words → fast |
-| Westward drift (retrograde) | Braid-word orientation flip | Yang-Baxter dissatisfaction → net reversal per crossing loop |
-| Kelvin wave (non-dispersive) | Eigensolid | `crossStep(s) = s` — boundary-trapped fixed point, no drift |
-| Coastal boundary | Outer strands (1,8) | Confinement potential; eigensolid converges from edges inward |
-| β-plane approximation | Linear strand-index gradient | `V(i) = α·i` on strand potential, breaks chiral symmetry |
-| Equatorial trapping | Mid-braid convergence (strands 4-5) | Highest crossing density at braid center; fastest eigensolid lock |
-
-## Key Predictions
-
-1. **Eigensolid detection in Rossby-dominated regimes:**  
-   A braid with strong strand-index gradient (steep β) should converge to an
-   eigensolid with a residual westward bias in the crossing matrix C — a
-   measurable chirality in the receipt's crossing asymmetry.
-
-2. **Kelvin-only (no-β) braid:**  
-   Removing the strand-index gradient (constant potential across all 8 strands)
-   eliminates Rossby-like dispersion. The eigensolid converges faster and the
-   crossing matrix is symmetric — testable via `#eval` on a flat-potential
-   `BraidState`.
-
-3. **Boundary strand arrest:**  
-   Strands 1 and 8 should reach eigensolid convergence before interior
-   strands (4-5) in a β-potential braid, mimicking coastal Kelvin wave
-   trapping.
-
-## Exotic Sphere Bound (2026-06-30)
-
-Weinberger (2026) and Durán (2001) established that:
-- Θ₇ ≅ ℤ₂₈ — exotic 7-spheres under connected sum (Kervaire-Milnor 1963)
-  [NOTE: this is NOT π₀(Diff⁺(S⁶)), see `cartan_fingerprint.md` §2 for retraction]
-- C(8,2) = 28 — combinatorial coupling pairs for 8 strands
-- Durán's formula σ(t,u,v) = (t, u', v') is structurally isomorphic to a braid crossing
-
-This **directly constrains** the Rossby/Kelvin braid correspondence:
-- Fisher metric on Δ₇ ≅ S⁷ (from HopfFibration.lean: braidToS7)
-- Exotic diffeomorphisms of S⁶ act on the equator
-- At most C(8,2) = 28 combinatorial coupling pair configurations
-  (independent of exotic sphere theory; the 28 is a triangular number)
-- The 28-fold periodicity matches the Sidon doubling bound (2→128, 7 doublings)
-
-The corkscrew angle ψ = 2π/φ² is isomorphic to Durán rotation 2θ where tan θ = |u|/t, formalized in `HopfFibration.lean` as `duranAngle`.
-
-## Non-formal Status
-
-This is an interpretive lens, not a Lean theorem. To promote it to the
-formal surface would require:
-
-1. Adding a `strandPotential : Fin 8 → Q16_16` field to `BraidState`
-2. Proving `rossby_dispersion_implies_convergence_bound`
-3. Proving `boundary_converges_before_interior` under monotonic potential
-
-Until then, it lives here as a conjecture for future exploration.