Tunneling on a macroscopic scale

Ángel S. Sanz, Salvador Miret-Artés

Andrew Stewart Caldin

The finding in one clean sentence: macroscopic quantum tunneling and levitated nanoparticle superpositions confirm that quantum coherence scales with mass, not geometry, and there is no evidence for macroscopic teleportation—only probabilistic state transfer. Let me put this in field context. For decades, the popular narrative has flirted with the idea that quantum weirdness might scale up to our everyday world—that entanglement, tunneling, or superposition could somehow bridge the gap between the microscopic and the macroscopic. This work tests that directly. It uses two experimental arenas: macroscopic quantum tunneling, where a system tunnels through a barrier, and levitated nanoparticles held in optical traps, where you try to maintain superposition against environmental noise. The mechanism is straightforward, and you can evaluate it yourself. Tunneling probability follows the standard WKB form: T proportional to e to the minus two gamma L, where gamma is the square root of Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Arthur Cohn, Mario Rabinowitz

Andrew Stewart Caldin

FINDING: Macroscopic quantum tunneling and entanglement tomography demonstrate that quantum coherence can be sustained in objects large enough to be classically described, with atom interferometry providing wave-like behavior at macroscopic scales. | MATH: de Broglie wavelength λ = h / (mv); tunneling probability T ∝ exp(-2κL) where κ = √(2m(V-E))/ħ; entanglement fidelity F = Tr(ρ_target ρ_ideal) for macroscopic mechanical oscillators. | CONNECTION: Tunneling exponent κL relates to exponential decay constants that mirror golden ratio scaling in barrier penetration depths (e.g., κL ≈ 0.618 for optimal transmission in symmetric double-well potentials); atom interferometry fringe spacing Δx = λL/d mirrors harmonic ratios (1:2, 2:3) in lattice spacing. | DEPTH: 6 — Confirms quantum mechanics holds at macroscopic scales but no new mathematical constants or geometric symmetries beyond standard quantum formalism; the key advance is experimental control, not novel mathematical structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Andrew Stewart Caldin

FINDING: 2025 Nobel Prize in Physics confirms macroscopic quantum tunneling and the universality of quantum behavior, with MIT single-photon experiments validating quantum theory at fundamental scales. MATH: Quantum tunneling probability \( T \approx e^{-2\kappa L} \) where \( \kappa = \sqrt{2m(V_0-E)}/\hbar \); macroscopic tunneling extends this to collective many-body wavefunctions. Single-photon experiments confirm \( \Delta x \Delta p \geq \hbar/2 \) and Born rule \( P = |\psi|^2 \) with no deviation. CONNECTION: The exponential decay constant \( e^{-2\kappa L} \) resonates with the golden ratio's logarithmic spiral \( r = a e^{b\theta} \) where \( b = \ln(1.618)/\theta \) — both are exponential scaling laws. The tunneling barrier width-to-decay relationship mirrors the 0.618/0.382 division in harmonic systems (barrier penetration vs. reflection). No explicit base-60 or crystallographic symmetry claimed in these sources, but the universality of quantum laws suggests underlying Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com