The Hydrogen Spectrum as Thermodynamic Exhaust: Falsifying the "Quantum Leap" via Topological Node Collapse

Replaces the quantum‑mechanical “electron teleportation” narrative with a mechanistic, thermodynamic model of spectral emission. Shows that Hydrogen’s 1.889 eV H‑alpha line arises from a Topological Node Collapse (9 → 4 nodes) and the expulsion of latent constraint density p(x), requiring no quantum postulates. Key Claims (from document): “The quantum leap is an illusion generated by a localized informational topology shedding degrees of freedom.” “A photon is the latent thermodynamic exhaust squeezed out of the constraint surface during a geometric node collapse.” Verification: Executable spectral engine reproduces the Balmer series using only node‑density shifts and the 13.6 eV constraint baseline.