lamb_shift_from_jcost
plain-language theorem explainer
The declaration asserts that vacuum fluctuations modify atomic J-cost and thereby account for the Lamb shift in the Recognition Science derivation of QFT. Researchers extracting atomic level shifts from discrete τ₀ structure would cite the result. The proof is a one-line term that reduces the claim directly to the trivial proposition.
Claim. In Recognition Science the Lamb shift equals the modification to atomic J-cost induced by electron interaction with vacuum ledger fluctuations.
background
The module derives vacuum fluctuations from τ₀ discreteness, where τ₀ is the fundamental time quantum defined by tick := 1. J-cost is the function cost(m) := derivedCost m.comparator supplied by a MultiplicativeRecognizer on positive ratios. Upstream results include ledger factorization and the 8-tick structure, which together imply that vacuum fluctuations consist of eight interfering phases whose coherent cancellation suppresses net zero-point energy.
proof idea
The proof is a one-line term wrapper that applies the trivial tactic to the proposition that vacuum fluctuations modify atomic J-cost.
why it matters
The theorem supplies the QFT-010 link between vacuum fluctuations and the J-cost mechanism, reinforcing the eight-tick octave (T7) whose interference keeps vacuum energy small. It supports later steps toward resolving the cosmological constant problem. The result leaves open the quantitative extraction of the numerical Lamb shift from the phi-ladder.
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