Curvature-Saturation Terminology Correction, Quadratic-Exponential Limit Family, Chirality Equalization, and Dual-Skeleton Container

Connections · Connections

Relationship to other packages, stated as far as possible in the document's own words, not my interpretation. This case's theoretical foundation is in From the Original Kakeya Needle to Moser's Worm.

“Round 1 used the term ‘contact-saturated smooth spiral,’ but what was actually calibrated at the time was max κ(s)=ρ⁻¹…this is not equivalent to the global reach(γ)=ρ. The global reach is also governed by the nearest points between different curve positions, normal-line intersections, and self-contact control.” — from this package's terminology-correction report, an instance of self-correction.

Round 2 Core Content

Derivation of the quadratic-exponential limit family, dual-chirality tension, the non-smooth equalization structure, the fixed-phase dual ledger, the numerical audit of tubular validity, the common container degenerating into a dual skeleton, area comparison, and honest boundaries.

Terminology Correction · Terminology Correction

Explains the precise difference between “contact saturation” and “curvature saturation,” and why Round 1's terminology was imprecise.

Method · Method

The derivation of the quadratic-exponential limit family, the definition of the complete congruence tension, and the common convex thickened container formula.

Files · Files

sha256 1f55e3a9ff6036434eba726aa6b38beb6a28f7896656e584d05106e4ac46a798