IndisputableMonolith.Cosmology.DarkEnergyEvolutionStructure
The module establishes that baseline RS dark-energy density is positive and subunitary. It derives this bound from early-universe ledger conditions imported from EarlyUniverse. Cosmologists addressing the cosmological constant problem cite these results for the density constraints. The module structures its content as a chain of lemmas on evolution and normalization.
claimThe baseline RS dark-energy density satisfies $0 < rho_{DE} < 1$ in native units, with evolution structure derived from the recognition ledger.
background
The module sits in the cosmology domain and imports EarlyUniverse, which states it formalizes the RS derivation of early universe conditions and dark energy. Upstream covers EU-001 (t=0 Big Bang), D-002 (dark energy nature), and D-003 (small cosmological constant). It introduces the dark energy evolution structure as a ledger-derived function on the phi-ladder, using J-cost and defect scaling from the forcing chain.
proof idea
This module collects lemmas on dark energy properties. It starts from dark_energy_evolution_from_ledger, derives omega_lambda_bounded, then applies algebraic reductions via the Recognition Composition Law to reach positivity and subunitarity. The argument proceeds by implication chains from the EarlyUniverse import.
why it matters in Recognition Science
This module supplies the dark energy evolution structure that addresses D-002 and D-003 in the registry. It feeds the unified forcing chain T0-T8 and the phi fixed point T6 by ensuring consistent late-time density bounds. The subunitary result closes a normalization gap in RS cosmology without additional hypotheses.
scope and limits
- Does not derive a numerical value for the dark energy density.
- Does not model interactions with matter or radiation.
- Does not address time-dependent evolution beyond baseline bounds.
- Does not connect to specific observational datasets.