IndisputableMonolith.Physics.MatterWaveFromRS
This module derives matter wave phenomena from Recognition Science. It introduces definitions for MatterWavePhenomenon, deBroglieWavelength, deBroglieDecay, and MatterWaveCert that connect particle momentum to wave scales using RS-native units. The module builds directly on the imported Constants to link the time quantum to observable wave behavior.
claimThe module defines MatterWavePhenomenon as a structure on the phi-ladder together with deBroglieWavelength$(p)$ and deBroglieDecay, certified by MatterWaveCert.
background
Recognition Science derives all physics from a single functional equation whose key landmarks include J-uniqueness, the phi fixed point, the eight-tick octave, and D = 3. This module sits in the Physics domain and imports the Constants module. The upstream result states: The fundamental RS time quantum (RS-native). τ₀ = 1 tick. The module introduces the sibling definitions MatterWavePhenomenon, matterWaveCount, deBroglieWavelength, deBroglieDecay, MatterWaveCert, and matterWaveCert that encode wave-like properties for matter on the phi-ladder.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
This module supplies the matter-wave component that feeds into larger RS physics derivations, including applications of the mass formula and the Berry creation threshold. It extends the T0-T8 forcing chain by furnishing wave analogs that connect the J-cost and Recognition Composition Law to particle behavior.
scope and limits
- Does not derive the Schrödinger equation or full quantum mechanics.
- Does not compute numerical predictions for laboratory observables.
- Does not treat interactions, spin, or many-body systems.