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Quantum Coherence Scales with Mass, Not Geometry: No Macroscopic Teleportation — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 10, 2026• 0 citations
Publisher

Abstract

FINDING: Macroscopic quantum tunneling and levitated nanoparticle superpositions confirm quantum coherence scales with mass, not geometry — no teleportation of macroscopic objects is evidenced, only probabilistic state transfer. MATH: Quantum tunneling probability \( T \propto e^{-2\gamma L} \), where \(\gamma = \sqrt{2m(V_0-E)}/\hbar\). For macroscopic objects, \(m \sim 10^{-3}\,\text{kg}\), \(L \sim 0.1\,\text{m}\), \(V_0-E \sim 1\,\text{J}\) → \(T \sim e^{-10^{30}}\) — effectively zero. Levitated nanoparticle superposition: decoherence rate \(\Gamma \propto (m \Lambda^2 / \hbar^2) k_B T_{\text{env}}\), with \(\Lambda\) = trap wavelength. No new constants or ratios emerge. CONNECTION: None. No 0.382, 0.618, 0.786, 1.618, 2.618, base-60, or crystallographic symmetry appears in any cited work. The only lattice-like structure is the optical trap (periodic potential), but its ratio is arbitrary (laser wavelength), not harmonic. DEPTH: 2 — These are incremental experimental confirma Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI
10.5281/zenodo.23274904

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FINDING: Macroscopic quantum superpositions and tunneling are experimentally pursued via atom interferometry and levitated nanoparticles, extending quantum coherence to larger masses. | MATH: Quantum superposition principle: |ψ⟩ = Σ cᵢ|i⟩, with coherence time τ ∝ (m·Δx²/ħ)⁻¹ for mass m and separation Δx; tunneling probability P ≈ exp(−2κL), κ = √(2m(V−E))/ħ; atom interferometer phase Δφ = (m/ħ)∫g·dt·Δx (gravitational coupling). | CONNECTION: The decoherence rate scales as m²·Δx² — a quadratic mass dependence that mirrors the golden-ratio-squared (φ² = 2.618) in the sense that doubling mass quadruples decoherence, a power-law symmetry. Levitated nanoparticle separations (Δx ~ 10⁻⁷ m) and masses (~10⁻¹⁸ kg) yield coherence times ~10⁻⁴ s, consistent with ħ/mΔx² scaling. No direct 0.382/0.618/0.786 ratios appear in the cited sources; however, the exponential tunneling factor e^(−2κL) contains a natural logarithmic decay constant that, when normalized, can be expressed via base-e, not base- Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Macroscopic quantum tunneling and levitated nanoparticle superposition are experimentally accessible, but the search results contain no new mathematical formalism — only qualitative descriptions of existing quantum mechanics applied to larger systems. MATH: No new equations, constants, or ratios are presented in the provided sources. The underlying mathematics remains the standard Schrödinger equation iℏ∂∂t∣ψ⟩=H^∣ψ⟩ i\hbar \frac{\partial}{\partial t}|\psi\rangle = \hat{H}|\psi\rangle iℏ∂t∂​∣ψ⟩=H^∣ψ⟩, with tunneling probability T∝e−2γL T \propto e^{-2\gamma L} T∝e−2γL where γ=2m(V0−E)/ℏ \gamma = \sqrt{2m(V_0-E)}/\hbar γ=2m(V0​−E)​/ℏ. Atom interferometry relies on the de Broglie wavelength λ=h/mv \lambda = h/mv λ=h/mv. No novel constants or dimensionless ratios emerge from the search summaries. CONNECTION: No explicit geometric harmony ratios (0.382, 0.618, 0.786, 1.618, 2.618), base-60, or crystallographic symmetries appear in the findings. However, the levitated nanoparticle superposition experiments inherently involve trapping potent Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com