e_2S_eV
plain-language theorem explainer
The definition supplies the numerical value 3.4 eV for the magnitude of the 2S binding energy in hydrogen. Researchers deriving the Lamb shift from Recognition Science J-cost fluctuations would cite this constant to fix the energy scale of the 2S level before vacuum corrections. It is introduced as a direct rational assignment with no computation or lemmas.
Claim. The magnitude of the 2S binding energy is $E_{2S} = 3.4$ eV.
background
The QFT.LambShift module targets derivation of the Lamb shift from vacuum J-cost fluctuations. Vacuum fluctuations are identified with ledger J-cost fluctuations, the electron jiggle arises from J-cost-driven position uncertainty, and the level shift is a modification of orbital J-cost. The 2S state is the s-wave orbital that penetrates the nucleus while the 2P state does not.
proof idea
The declaration is a direct definition that assigns the rational constant 34/10 to e_2S_eV. No lemmas or tactics are invoked; it functions as a numerical anchor for later statements in the module.
why it matters
This constant fixes the energy scale for the Dirac degeneracy statement, which asserts that the 2S and 2P levels share the same energy in the absence of QED corrections. It supports the Recognition Science claim that the observed Lamb shift originates in vacuum J-cost fluctuations rather than standard perturbative QED. The module places the definition inside the QFT-012 derivation that links J-cost modifications to the 1057 MHz splitting.
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