module module moderate

`IndisputableMonolith.CrossDomain.PlanetStratification`

Module defines planetary stratification in the cross-domain extension of Recognition Science. Introduces PlanetStratum together with AtmosphericLayer, EarthLayer and OceanLayer as proper subsets. Establishes that the three layer injections each cover only 5 of 15 strata. Supplies the combinatorial primitives for layer counts and three-dimensional structure.

claimLet $P$ be PlanetStratum with $|P|=15$. Let $A$, $E$, $O$ be AtmosphericLayer, EarthLayer, OceanLayer. The canonical injections $i_A:A o P$, $i_E:E o P$, $i_O:O o P$ are proper and non-surjective, each with image cardinality 5.

background

Module resides in CrossDomain and applies the Recognition framework to discrete planetary layering. It defines PlanetStratum as the total discrete set, together with the three layer types AtmosphericLayer, EarthLayer, OceanLayer. Associated count functions are atmoCount, earthCount, oceanCount and planetStratumCount. The module also records the three proper-subset lemmas and the three-dimensionality statement planetStratum_three_D. The setting is consistent with the eight-tick octave and D=3 from the unified forcing chain.

proof idea

this is a definition module, no proofs

why it matters in Recognition Science

Supplies the layer primitives that support cross-domain applications of Recognition Science to planetary structure. Aligns with the forcing-chain step T8 (D=3) and the Recognition Composition Law by treating layers as distinct recognition domains. No downstream theorems are listed in the dependency graph.

scope and limits

Does not derive the layer cardinalities from the phi-ladder or mass formula.
Does not model dynamical interactions or energy exchange between layers.
Does not connect the stratification to Berry creation threshold or Z_cf.
Does not address the alpha band or RS-native constants inside the layers.

declarations in this module (14)

inductive AtmosphericLayer L25
inductive EarthLayer L29
inductive OceanLayer L33
theorem atmoCount L37
theorem earthCount L38
theorem oceanCount L39
abbrev PlanetStratum L41
theorem planetStratumCount L43
theorem atmo_is_proper_subset L47
theorem earth_is_proper_subset L51
theorem ocean_is_proper_subset L55
theorem planetStratum_three_D L60
structure PlanetStratificationCert L62
def planetStratificationCert L69