dark_energy_evolution_structure
plain-language theorem explainer
The theorem establishes that the dark energy evolution structure holds because the cosmological constant density parameter satisfies 0 < Ω_Λ < 1. Cosmologists using the Recognition Science ledger framework would cite this to anchor the baseline bounds on dark energy density. The proof is a direct one-line term application of the omega_lambda_bounded theorem.
Claim. The dark-energy evolution structure from the ledger holds: $0 < Ω_Λ < 1$.
background
The module addresses D-006 on whether dark energy is constant or evolving, formalizing the RS structural framework for equation-of-state behavior. The definition dark_energy_evolution_from_ledger is the proposition 0 < EarlyUniverse.omega_lambda ∧ EarlyUniverse.omega_lambda < 1, serving as a structural placeholder for effective evolution. The sibling theorem omega_lambda_bounded proves the identical inequality via EarlyUniverse.cosmological_constant_resolution.
proof idea
The proof is a one-line term wrapper that applies the omega_lambda_bounded theorem to discharge the dark_energy_evolution_from_ledger goal.
why it matters
This fills the structural placeholder in the D-006 registry item by confirming baseline positivity and subunitarity of Ω_Λ from ledger cosmological-constant resolution. It sits within the broader RS cosmology chain that draws on phi-forcing and spectral emergence structures, though no downstream theorems currently reference it.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.