Quantum Tunneling and Coherence: No New Constants Emerge — E8 Intelligence Research

FINDING: Quantum tunneling and macroscopic quantum coherence are being actively explored via atom interferometry and entangled mechanical oscillators, but no new mathematical constant or closed-form equation emerges from these search results. | MATH: Standard framework — Schrödinger equation \( i ∂_t Ψ = ĤΨ \); tunneling probability \( T ≈ e-2κ d \) with \( κ = √2m(V_0-E)/ \); atom interferometry phase \( Δφ = m/ ∮ g· dr \, dt \) (Kasevich); entangled mechanical state tomography uses Wigner function \( W(q,p) = 1/π∫ ψ^*(q+q')ψ(q-q')e2ipq'/dq' \). | CONNECTION: No explicit golden ratio, Fibonacci, or base-60 link in the provided titles/descriptions. However, the tunneling exponent \( κ d \) is dimensionless — if barrier width \( d \) were quantized in units of Compton wavelength \( λ_C = h/(mc) \), then \( κ d = √2(V_0-E)/mc^2 · ( Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com