module module moderate

`IndisputableMonolith.Engineering.AsteroidOreSpectroscopy`

The AsteroidOreSpectroscopy module defines the reference spectral peak ω₀ as the silicate baseline together with supporting definitions for peakFrequency, OreClass, and rung. Engineers or planetary scientists modeling asteroid ore composition in RS-native units would cite these definitions. It is a definition module containing no proofs or theorems.

claimThe module defines the reference spectral peak frequency $ω_0$ (silicate baseline) along with the functions peakFrequency, OreClass, and rung for asteroid ore spectroscopy.

background

This module sits in the Engineering domain and imports Constants, where the fundamental RS time quantum is defined as τ₀ = 1 tick, together with the Cost module. It introduces definitions for spectral analysis of asteroid ores, centered on ω₀ as the silicate reference peak and related structures including peakFrequency (a function of rung or class) and OreClass (enumerating ore types). The local theoretical setting applies RS-native units to frequency quantities derived from the imported time quantum.

proof idea

this is a definition module, no proofs

why it matters in Recognition Science

This module supplies the silicate baseline ω₀ and related spectral definitions that support engineering applications in the Recognition Science framework. It provides foundational objects for asteroid ore classification models, though the dependency graph lists no direct parent theorems or downstream uses.

scope and limits

Does not derive ω₀ from the forcing chain or RCL.
Does not connect to the phi-ladder or mass formulas.
Does not include observational data or validation.

depends on (2)

Lean names referenced from this declaration's body.

IndisputableMonolith.Constants module_import
IndisputableMonolith.Cost module_import

declarations in this module (19)

class has L11
def omega_0 L32
theorem omega_0_pos L34
def peakFrequency L37
theorem peakFrequency_pos L39
theorem peakFrequency_zero L42
theorem peakFrequency_succ L45
theorem peakFrequency_strict_mono L49
inductive OreClass L57
def rung L69
def all L78
theorem all_length L81
theorem all_nodup L83
def peak L85
theorem peak_pos L87
theorem adjacent_class_ratio L93
structure AsteroidOreSpectroscopyCert L100
def asteroidOreSpectroscopyCert L111
theorem ore_spectroscopy_one_statement L123