Quantum Coherence at Macroscopic Scales: Tunneling, Interferometry, and Hybrid Networks — E8 Intelligence Research

Abstract

FINDING: Macroscopic quantum tunneling and atom interferometry demonstrate quantum coherence at large scales, with transfer learning bridging classical-quantum neural networks. | MATH: No explicit equations or constants extracted; key concept is wave-particle duality (de Broglie wavelength λ = h/p) applied to macroscopic objects (e.g., tennis ball tunneling). Atom interferometry uses matter-wave interference, governed by Schrödinger equation: iℏ ∂ψ/∂t = Hψ. Transfer learning in hybrid networks involves parameter mapping between classical and quantum layers, likely using fidelity metrics F = |⟨ψ_target|ψ_output⟩|². | CONNECTION: No direct geometric ratios (0.382, 0.618, etc.) or base-60, crystallographic symmetries, or root systems found. Atom interferometry may involve lattice structures (optical lattices) for trapping atoms, but not explicitly linked to geometric harmony. | DEPTH: 3 — Findings are conceptual overviews, not new mathematical discoveries. Macroscopic quantum tunneling is Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com