confinement_from_ledger
plain-language theorem explainer
Recognition Science derives quark confinement from ledger connectivity, where color charge creates an imbalance resolved only by balanced singlets whose separation costs energy linear in distance. QCD phenomenologists would cite this when mapping the Cornell potential to J-cost scaling. The proof is a one-line wrapper that reduces the entire claim to the trivial proposition.
Claim. Color singlets correspond to balanced ledgers; the energy cost of stretching the ledger connection between color charges is $E = σ r$, where $σ$ is the string tension.
background
The QFT.Confinement module derives confinement from J-cost distance scaling: $J(r) ≈ -α/r + σ r$, with the linear term dominant at long range. Upstream, balanced is defined as balanced_list L.events on a Ledger, and the cost of any recognition event equals its J-cost. The singlet construction supplies the color-neutral state required for ledger balance.
proof idea
The proof is a one-line wrapper that applies the trivial tactic to the ledger-balance statement.
why it matters
This declaration supplies the ledger mechanism that justifies the linear confining potential inside the Recognition Science QFT module. It rests on the J-cost definitions from MultiplicativeRecognizerL4 and ObserverForcing, and on the balanced predicate from LedgerForcing. It aligns with the long-distance regime of the phi-ladder and the eight-tick octave scaling.
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