implications
plain-language theorem explainer
Recognition Science derives the cosmological constant from the J-cost ground state of the vacuum ledger. Cosmologists and theorists addressing the fine-tuning problem would cite these implications to argue that the constant follows from phi-structure without anthropic input. The definition enumerates four statements that link Lambda emergence, dark energy fundamentality, and phi-ladder evolution directly to the module's J-cost framework.
Claim. The implications of deriving the cosmological constant from the J-cost ground state are: it emerges naturally from the phi-structure, no anthropic reasoning is required, dark energy is fundamental rather than emergent, and cosmic evolution is fixed by the phi-ladder.
background
Recognition Science treats the vacuum as carrying a baseline J-cost from recognition events. Upstream, ObserverForcing.cost defines this as Cost.Jcost of the event state, while MultiplicativeRecognizerL4.cost supplies the derived cost on positive ratios. The module COS-013 sets the target as deriving Lambda from this ground state, noting the observed value is 10^{-52} m^{-2} against naive QFT predictions larger by 10^{120}.
proof idea
The definition constructs a fixed list of four strings. It performs no lemma applications or reductions and simply enumerates the claims drawn from the J-cost derivation approach.
why it matters
The declaration summarizes the consequences of resolving the cosmological constant problem via the J-cost ground state, as stated in the module doc-comment. It ties Lambda to the phi-ladder and information costs within the Recognition framework, avoiding fine-tuning. No downstream results reference it yet, but the listed points indicate testable claims such as w = -1 exactly.
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