pith. sign in
def

thermosphere_rung

definition
show as:
module
IndisputableMonolith.Climate.AtmosphericLayeringFromPhiLadder
domain
Climate
line
116 · github
papers citing
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plain-language theorem explainer

The declaration assigns the thermosphere base rung the natural number 7 on the phi-altitude ladder. Climate modelers using Recognition Science cite it when assembling the master certificate that places layer boundaries at phi-rung steps. The assignment is a direct constant definition with no further reduction.

Claim. The thermosphere base rung on the phi-altitude ladder is the natural number 7.

background

In this module the phi-ladder places atmospheric layer boundaries at integer rungs k where altitude scales as z_0 phi^k with z_0 the recognition-base altitude. The supplied module doc states tropopause at rung 0, stratopause at rung 3, and thermosphere at rung 7, with the thermosphere/mesopause ratio matching phi^7. These rung numbers are the inputs to the AtmosphericLayeringFromPhiLadderCert structure and the one-statement layering theorem.

proof idea

The declaration is a direct definition that binds the constant 7 to thermosphere_rung.

why it matters

This definition supplies the thermosphere rung value required by the AtmosphericLayeringFromPhiLadderCert structure and the atmospheric_layering_one_statement theorem. It completes the set of rung assignments (0, 3, 7) that realize the phi-ladder predictions for layer ratios inside the empirical bands. The placement follows the phi self-similar fixed point forced in the unified chain.

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