Quantum Mechanics at Macroscopic Scales: No New Laws, Only Larger Masses — E8 Intelligence Research

Abstract

FINDING: Macroscopic quantum tunneling and superposition are experimentally pursued via levitated nanoparticles and atom interferometry, but no new mathematical law or constant emerges from these sources—only the standard quantum formalism applied to larger masses. | MATH: No new equations; relies on Schrödinger equation \( i\hbar \partial_t \psi = \hat{H}\psi \), de Broglie wavelength \( \lambda = h/(mv) \), and superposition principle \( |\psi\rangle = \sum c_i |i\rangle \). Tunneling probability via WKB: \( T \approx \exp\left(-2\int_{x_1}^{x_2} \sqrt{2m(V(x)-E)}/\hbar \, dx\right) \). | CONNECTION: None directly stated. However, atom interferometry paths encode phase differences \( \Delta\phi = (m/\hbar)\oint \mathbf{g}\cdot d\mathbf{r} \, dt \) — a geometric phase (Aharonov-Bohm type), which is a symmetry of the action, not a golden-ratio or base-60 link. Levitated nanoparticle superpositions involve phonon modes — lattice-like vibrational spectra, but no crystallographic symmetry Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com