The Term Added to Stop the Collapse: Skyrme's Stabilizer and the Fitted Number That Carries a Model
Year: 2026
Type: preprint
Abstract: In 1961 T. H. R. Skyrme founded the baryon-as-soliton construction: the chiral field's Lagrangian is the nonlinear sigma model's two-derivative term plus a four-derivative term, and the winding soliton of the combined theory is the baryon. This paper evaluates the construction's quantitative machinery at its founding address, converting census attack CC-164 whole. The four-derivative term is in the theory because without it there is no soliton — the bench computes Derrick's collapse directly: the two-derivative energy of a scaled profile falls as \mathcal{E}_2(\lambda) = \lambda\,\mathcal{E}_2(1) without bound toward zero size — and its coefficient e is a fitted number. The bench derives the hedgehog energy functional from the declared Lagrangian symbolically, verifies the reduction against the raw matrix definition to 7.105\times10^{-15}, minimizes over a declared profile family (\mathcal{E}_{\min} = 37.622656), and prints the fitted number's total leverage: across the declared grid of e, M \cdot e = 6997.813965 MeV and R \cdot e = 1.816257 fm are constant to every printed digit — every mass and every radius the model returns is the fitted number, twice worn. Census headline, unchanged: NOT SOLVED / PARTIAL · producing-count 0.
Author: Aldred, William Alexander
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225463555