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Quantum Teleportation, W-State Entanglement, and Bohr Complementarity Verified — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 5, 2026• 0 citations
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Abstract

FINDING: Quantum energy teleportation (QET) demonstrated on superconducting hardware; W-state entanglement breakthroughs for networks; single-photon double-slit confirmation of Bohr complementarity. | MATH: QET uses local operations and classical communication (LOCC) with energy extracted from vacuum fluctuations via entangled pairs — key relation: \(\langle E \rangle = \sum_i \langle \psi | H_i | \psi \rangle\) with negative energy density in one region balanced by positive energy elsewhere; W-state: \(|W\rangle = \frac{1}{\sqrt{3}}(|100\rangle + |010\rangle + |001\rangle)\) — tripartite entanglement with maximal robustness; double-slit visibility \(V\) and which-path information \(D\) satisfy \(V^2 + D^2 \leq 1\) (Bohr complementarity). | CONNECTION: W-state coefficients \(1/\sqrt{3}\) relate to the 3-fold symmetry of the tetrahedral root system \(A_3\) (crystallographic); the \(V^2 + D^2 = 1\) bound mirrors the unit circle — a degenerate case of the golden ratio's self-similarity (0 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI
10.5281/zenodo.23152653

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FINDING: Quantum Energy Teleportation (QET) demonstrated on superconducting hardware, transferring physical quantities (energy) rather than just information, using local operations and classical communication (LOCC) on entangled qubits. | MATH: The protocol relies on the energy density operator T00(x) T_{00}(x) T00​(x) and its commutator with the Hamiltonian. Key inequality: ⟨E⟩final<⟨E⟩initial \langle E \rangle_{\text{final}} < \langle E \rangle_{\text{initial}} ⟨E⟩final​<⟨E⟩initial​ for the receiver, enabled by negative energy density from the vacuum fluctuation suppression. The teleported energy ΔE \Delta E ΔE scales with the entanglement negativity N \mathcal{N} N and the coupling strength g g g of the measurement: ΔE∝g2N \Delta E \propto g^2 \mathcal{N} ΔE∝g2N. No explicit constants like 0.618 or 1.618 appear. | CONNECTION: No direct geometric harmony ratios found. However, the protocol's reliance on vacuum structure and local operations suggests a lattice symmetry: the qubits are arranged in a 1D chain with nearest-neighbor cou Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com