molecularPhysicsCert
plain-language theorem explainer
The declaration constructs a certificate asserting five molecular energy levels whose adjacent ratios equal the golden ratio phi, with a total of ten states from two polarizations per level. Molecular physicists working from the Recognition Science phi-ladder would cite it to anchor the five-level spectrum in the self-similar fixed point. The definition is a direct structure constructor that assigns the three fields from prior count and ratio theorems.
Claim. The definition supplies an instance of the structure requiring that the cardinality of the set of molecular energy levels equals 5, that the ratio of energies at consecutive rungs satisfies energyAtRung(k+1)/energyAtRung(k) = phi for every natural number k, and that the total number of molecular states equals 10.
background
The module derives molecular physics from the Recognition Science phi-ladder. Each energy level corresponds to a rung of recognition energy, with adjacent levels related by the fixed point phi. The structure MolecularPhysicsCert packages three properties: exactly five levels (electronic, vibrational, rotational, translational, spin) matching configDim D = 5, the constant ratio phi between consecutive rungs, and the total of ten states arising as 5 levels times two polarizations.
proof idea
The definition is a direct structure constructor. It populates the five_levels field with the theorem molecularEnergyCount, the phi_ratio field with the theorem energyRatio, and the total_10 field with the theorem totalStates_10.
why it matters
This supplies the concrete certificate closing the MolecularPhysicsCert interface in the RS derivation of chemistry. It grounds the five-level spectrum in the phi-ladder and the self-similar fixed point from T6, consistent with the eight-tick octave and D = 3 spatial dimensions. No downstream uses are recorded, leaving open whether the certificate will be invoked in explicit spectral calculations.
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