IndisputableMonolith.Cosmology.DarkEnergyEvolutionStructure
The Cosmology.DarkEnergyEvolutionStructure module establishes that baseline RS dark-energy density is positive and subunitary. Cosmologists working from the RS forcing chain to bound the cosmological constant would cite these results. The module organizes a collection of lemmas that compose the Recognition Composition Law with ledger conditions imported from EarlyUniverse.
claimThe baseline RS dark-energy density parameter satisfies $0 < \Omega_\Lambda < 1$.
background
This module resides in the cosmology domain and imports IndisputableMonolith.Cosmology.EarlyUniverse. The upstream module formalizes the RS derivation of early-universe conditions and dark energy under registry items EU-001 (Big Bang at t=0), D-002 (nature of dark energy), and D-003 (small cosmological constant). It supplies the ledger and J-cost machinery used to derive density bounds.
The module introduces the dark-energy evolution structure on top of the phi-ladder and eight-tick octave conventions. Sibling declarations omega_lambda_bounded, dark_energy_evolution_from_ledger, and the four implication lemmas supply the concrete statements.
proof idea
This is a module that collects theorems rather than a single proof body. The overall argument imports the EarlyUniverse ledger, applies the Recognition Composition Law to obtain omega_lambda_bounded, then derives the four implication results (positive, subunitary, nonzero, not one) by direct substitution of the J-uniqueness fixed point.
why it matters in Recognition Science
The module supplies the positive and subunitary bounds required to close D-002 and D-003 in the EarlyUniverse registry. It translates the T5 J-uniqueness and T6 phi fixed-point steps of the forcing chain into cosmological density statements. No downstream use sites are recorded yet.
scope and limits
- Does not compute a numerical value for Omega_Lambda.
- Does not derive the time-dependent evolution equation.
- Does not incorporate quantum or higher-order corrections.
- Does not address spatial inhomogeneities.