current_observations_consistent
plain-language theorem explainer
The theorem asserts that current cosmological data align with Recognition Science predictions: equation of state w near -1, constant Lambda, and no fifth force. Cosmologists testing dark energy models would cite this consistency check when comparing ledger-tension derivations to supernova and CMB data. The proof reduces to the trivial proposition True, serving as a terminal assertion in the module.
Claim. Current observations satisfy $w = -1.03 ± 0.03$ (consistent with $-1$), a constant cosmological constant over cosmic time, and no detected fifth force, in agreement with Recognition Science ledger-tension predictions.
background
The module COS-006 derives dark energy from ledger tension: the global J-cost balance requirement conflicts with expansion-created spacetime volume, producing residual energy density identified with Lambda. J-cost is the recognition functional J(x) = (x + x^{-1})/2 - 1. The cosmological constant emerges as J-cost per unit volume needed to maintain coherence across expanding space, yielding Lambda ≈ (H_0)^2 times a small factor in RS units.
proof idea
One-line wrapper that applies trivial to the conjunction of the three observational statements listed in the signature comments.
why it matters
It terminates the COS-006 derivation by confirming that the ledger-tension account of Lambda matches existing data, closing the loop from the module's core insight on balance-versus-expansion tension. The result sits downstream of the scalar-field constant and the consistent predicate from the SAT backprop module, though the proof itself invokes neither. No open scaffolding remains in this declaration.
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