MatterWavePhenomenon
plain-language theorem explainer
Recognition Science enumerates five canonical matter-wave experiments as the complete set whose count matches the configuration dimension. A physicist checking the de Broglie scaling law from RS constants would cite this list to anchor the phi-decay property across consecutive rungs. The declaration is realized by direct inductive enumeration of the cases with automatic derivation of equality and finiteness instances.
Claim. The five canonical matter-wave phenomena are electron diffraction, neutron diffraction, atom interferometry, Bose-Einstein condensate wave propagation, and molecular diffraction.
background
In the module on De Broglie matter waves from Recognition Science the wavelength takes the form λ = φ^{-5} × 2π / p, substituting the RS-native ħ = φ^{-5}. The five phenomena are introduced as the exhaustive list whose cardinality equals the configuration dimension D = 5, supporting the scaling prediction λ₀ × φ^{-k} at rung k on the phi-ladder. The constants module supplies the value of φ and ħ; the inductive type then serves as the domain for later cardinality and decay statements.
proof idea
The declaration is a direct inductive definition that enumerates the five cases and immediately derives the DecidableEq, Repr, BEq, and Fintype instances.
why it matters
This enumeration supplies the five phenomena required by the MatterWaveCert structure, which asserts both Fintype.card = 5 and the universal phi-decay ratio between consecutive de Broglie wavelengths. It realizes the module statement that five phenomena correspond to configDim D = 5 and thereby anchors the RS wavelength scaling on the phi-ladder. The construction closes the foundation for matter-wave counts with zero axioms or sorrys.
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