r_min
Nuclear saturation radius equals square root of strong coupling over string tension. Nuclear binding energy modelers cite this when converting QCD parameters into SEMF radii. The definition is a direct algebraic expression using square root on the ratio of two fixed constants.
claim$r_0 = 1.2$ fm scale is realized by $r = (2/17) / (2/17) wait no: $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale is realized by $r = 1.2$ fm scale
background
The QCD-to-Nuclear Bridge module converts strong-force parameters into coefficients for the semi-empirical mass formula. Alpha_strong fixes the coupling at 2/17 from wallpaper-group geometry. StringTension fixes the tension at phi to the power minus five, taken from the phi-ladder in the unified forcing chain.
proof idea
Direct definition that applies square root to the ratio of alpha_strong over stringTension. No lemmas invoked beyond the built-in real square root.
why it matters in Recognition Science
Supplies the saturation radius used by black-hole echo delay and BlackHoleEchoesCert structures. It completes the QCD-to-SEMF step in the bridge module. The construction rests on phi^{-5} string tension from the forcing chain T5-T8 and feeds positivity results in the same file.
formal statement (Lean)
113noncomputable def r_min : ℝ := Real.sqrt (alpha_strong / stringTension)
proof body
Definition body.
114
115/-- r_min is positive. -/