pith. sign in
module module high

IndisputableMonolith.Physics.CosmologicalConstantFromRS

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The module CosmologicalConstantFromRS supplies the RS-native cosmological constant Lambda_RS equal to 8 phi^5 over 45. Cosmologists and quantum-gravity researchers cite it when matching Recognition Science constants to observed vacuum energy. The module consists of a core definition plus positivity and band lemmas built directly on the imported Constants module.

claim$Lambda_RS = 8 phi^5 / 45$

background

The module imports IndisputableMonolith.Constants, whose sole documented object is the RS time quantum tau_0 = 1 tick. All constants in the Recognition Science setting are expressed in these native units, with c = 1 and lengths measured in ticks. The module therefore extracts Lambda_RS from the same phi-ladder and J-cost structure that produces G = phi^5 / pi and hbar = phi^-5.

proof idea

this is a definition module, no proofs

why it matters in Recognition Science

The declaration supplies the cosmological constant that enters the UnifiedForcingChain at T8 and feeds the alpha-band and mass-ladder constructions. It closes one link between the eight-tick octave and observable cosmology.

scope and limits

depends on (1)

Lean names referenced from this declaration's body.

declarations in this module (6)