IndisputableMonolith.Cosmology.DarkEnergyEOS
The Cosmology.DarkEnergyEOS module defines phase-locked modes with zero J-cost and derives the dark energy equation of state w = -1. Cosmologists working in the Recognition Science framework would cite it when modeling vacuum energy as constant contributions from ledger-committed modes. The module consists of a chain of definitions ending in a certification object that the energy term remains independent of the tick counter.
claimA phase-locked mode has a committed ledger entry at $x=1$ so that $J(x)=0$ with no dependence on the tick counter. This yields the dark energy equation of state $w=-1$ together with a constant energy contribution.
background
The module sits in the cosmology domain and imports the Cost module that supplies the J-cost functional $J(x)=(x+x^{-1})/2-1$. It introduces PhaseLocked for modes fixed at ledger entry x=1, vacuum_mode, phase_locked_energy_constant, ConstantEnergyContribution, equation_of_state, and the certification DarkEnergyEOSCert. The supplied doc comment states that a phase-locked mode has a committed ledger entry at x=1 whose J-cost is zero and does not change with the tick counter. The setting is the Recognition Science derivation of cosmology from the single functional equation, using the phi-ladder and eight-tick octave to fix spatial dimension D=3.
proof idea
This is a definition module, no proofs. It assembles the mathematical objects PhaseLocked, ConstantEnergyContribution and equation_of_state, then packages them into the certification darkEnergyEOSCert that w equals -1.
why it matters in Recognition Science
The module supplies the dark energy component that feeds into larger cosmological constructions in the framework. It realizes the constant vacuum energy expected from phase-locked modes, consistent with the RCL and the forcing chain T5-T8. It thereby closes the vacuum term required for the overall derivation of D=3 and the alpha band.
scope and limits
- Does not derive a numerical value for the cosmological constant.
- Does not address stability under perturbations or quantum fluctuations.
- Does not connect to specific observational datasets beyond the equation-of-state parameter.
- Does not extend the model to modified gravity or non-phase-locked sectors.