s_wave_l
plain-language theorem explainer
s_wave_l assigns the angular momentum quantum number for S-waves to zero inside the Recognition Science derivation of the Lamb shift. Researchers modeling QED splittings from J-cost fluctuations would cite this constant when proving that S-states reach the nuclear origin. The definition is a direct constant assignment with no computation or lemmas required.
Claim. The angular momentum quantum number for the S-wave state satisfies $l = 0$.
background
The module QFT.LambShift derives the Lamb shift from vacuum J-cost fluctuations, where electron position uncertainty modifies orbital J-cost differently for states that reach the origin versus those excluded by a centrifugal barrier. The local theoretical setting is QFT-012, which targets the observed 1057 MHz splitting between the 2S_{1/2} and 2P_{1/2} levels of hydrogen as a precision test of the Recognition mechanism. Upstream, the structure for from UniversalForcingSelfReference supplies the meta-realization axioms that certify the structural properties required for self-reference in the forcing chain.
proof idea
This is a direct definition that sets the S-wave angular momentum quantum number to the natural number zero. No lemmas are applied and no tactics are used; the assignment serves as a constant input for downstream theorems.
why it matters
The definition is referenced inside the LambShiftProofs structure to establish s_wave_l = 0, which together with the companion P-wave result confirms the full set of Lamb shift claims including numerical agreement to six figures and leading alpha^5 dependence. It supplies the concrete step in the QFT-012 derivation where the centrifugal barrier vanishes for l = 0, allowing nuclear penetration consistent with the J-cost ledger. The declaration touches the open question of whether the same constant assignment remains stable under extensions to higher-order vacuum fluctuations.
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