module module moderate

`IndisputableMonolith.Cosmology.CosmologicalConstant`

The module defines the observed cosmological constant Lambda approximately 1.1 times 10 to the minus 52 per square meter together with its density and dark-energy scale in RS units. It supplies the empirical input for the cosmological constant problem by linking the value to vacuum J-cost cancellation on the phi-ladder. Researchers modeling vacuum energy suppression in Recognition Science cite these definitions. The module consists of declarations and hypotheses with no internal proofs.

claim$Lambda approx 1.1 times 10^{-52} m^{-2}$, with associated vacuum energy density $rho_Lambda$ and dark-energy scale in eV obtained from J-cost cancellation on the phi-ladder.

background

Recognition Science places the cosmological constant inside the forcing chain after T8 fixes three spatial dimensions. The module imports the base time quantum tau_0 equals one tick from Constants and the J-cost machinery from the Cost module. Sibling declarations introduce lambda_observed for the measured value, vacuumJCost for the vacuum fluctuation cost, jcost_cancellation for the suppression mechanism, and phiLadderSum for the summed contributions along the ladder that produce the effective Lambda.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module anchors the cosmological constant problem inside the Recognition framework by supplying the observed Lambda and the cancellation hypotheses. It feeds downstream cosmology constructions that relate vacuum energy to the phi-ladder and the eight-tick octave. It touches the open discrepancy between Planck-scale vacuum energy and the observed tiny value.

scope and limits

Does not derive Lambda from the forcing chain axioms.
Does not compute the numerical cancellation factor.
Does not address quantum-gravity corrections.
Does not specify the dark-energy equation of state.

depends on (2)

Lean names referenced from this declaration's body.

IndisputableMonolith.Constants module_import
IndisputableMonolith.Cost module_import

declarations in this module (20)

def lambda_observed L43
def rho_lambda_observed L46
def dark_energy_scale_eV L49
theorem cosmological_constant_problem L61
def hypothesis1 L72
def t_universe L82
def hypothesis2 L84
def lambda_exponent L94
def hypothesis3 L96
def vacuumJCost L105
theorem jcost_cancellation L119
def phiLadderSum L130
def darkEnergyDensity L139
def equationOfState L146
theorem dark_energy_w L148
theorem coincidence_from_phi_ladder L161
def implications L175
def observationalStatus L193
def alternativeTheories L211
structure LambdaFalsifier L226