Experimental Confirmation of Three-Particle Teleportation via Standard Quantum Mechanics — E8 Intelligence Research

Andrew Stewart Caldin

Published Aug 19, 2026• 0 citations

Abstract

FINDING: No new mathematical breakthrough in quantum teleportation; results confirm existing quantum theory via single-photon double-slit experiments and demonstrate three-particle teleportation. | MATH: No new equations or constants reported. Underlying formalism remains standard quantum mechanics: state vector $|\psi\rangle = \alpha|0\rangle + \beta|1\rangle$, Bell state measurement, entanglement fidelity $F = |\langle\psi|\rho|\psi\rangle|^2$. No novel ratios or constants. | CONNECTION: None. No geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618), base-60, or crystallographic symmetries appear in the findings. | DEPTH: 1 — These are confirmatory experiments and popular science summaries, not new mathematical insights. No advancement in understanding the universe's mathematical structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.22006417

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Experimental Confirmation of Three-Particle Teleportation via Standard Quantum Mechanics — E8 Intelligence Research

Andrew Stewart Caldin

Published Aug 19, 2026• 0 citations

Publisher

Abstract

FINDING: No new mathematical breakthrough in quantum teleportation; results confirm existing quantum theory via single-photon double-slit experiments and demonstrate three-particle teleportation. | MATH: No new equations or constants reported. Underlying formalism remains standard quantum mechanics: state vector (|\psi\rangle = \alpha|0\rangle + \beta|1\rangle), Bell state measurement, entanglement fidelity (F = |\langle\psi|\rho|\psi\rangle|^2). No novel ratios or constants. | CONNECTION: None. No geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618), base-60, or crystallographic symmetries appear in the findings. | DEPTH: 1 — These are confirmatory experiments and popular science summaries, not new mathematical insights. No advancement in understanding the universe's mathematical structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.22006417

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|\psi\rangle = \sum_i c_i |i\rangle

with Born rule

P(i) = |c_i|^2

. Teleportation fidelity likely > classical limit 2/3, but exact value not given. | CONNECTION: No explicit geometric ratios, base-60, or crystallographic symmetries appear in these summaries. The double-slit pattern itself encodes

\sin^2(\pi d \sin\theta/\lambda)

— a harmonic interference structure, but not the specific golden-ratio family. | DEPTH: 3 — Confirmatory experiments, no new mathematical invariants or structural constants extracted. The teleportation claim (three qubits) is incremental; no new algebra or symmetry group introduced. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

|\Phi^{\pm}\rangle = \frac{1}{\sqrt{2}}(|00\rangle \pm |11\rangle)

|\Psi^{\pm}\rangle = \frac{1}{\sqrt{2}}(|01\rangle \pm |10\rangle)

. Teleportation fidelity

F = \langle\psi|\rho|\psi\rangle

(max 1 for perfect). No new equations beyond standard quantum mechanics. | CONNECTION: No geometric harmony (0.382, 0.618, 0.786, 1.618, 2.618, base-60, crystallographic symmetry) present. Bell states are maximally entangled, but no lattice or root system link. | DEPTH: 2 — Standard textbook quantum teleportation (Bennett et al. 1993); no breakthrough in mathematical structure or constants. The videos are pedagogical, not novel. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

FINDING: Quantum teleportation relies on entanglement and Bell state measurement to transfer qubit states without physical particle transport. | MATH: Bell state basis:

|\Phi^\pm\rangle = \frac{1}{\sqrt{2}}(|00\rangle \pm |11\rangle)

|\Psi^\pm\rangle = \frac{1}{\sqrt{2}}(|01\rangle \pm |10\rangle)

. Teleportation fidelity

F = \langle \psi | \rho_{\text{out}} | \psi \rangle

approaches 1 for ideal entanglement. No new constants or ratios beyond standard quantum mechanics. | CONNECTION: No explicit geometric harmony ratios (0.382, 0.618, etc.) or base-60, crystallographic symmetries appear in these video descriptions. The circuit diagrams use standard qubit rotations and CNOT gates, which relate to SU(2) symmetry and Bloch sphere geometry (a 2-sphere with Hopf fibration structure), but no novel harmonic ratios. | DEPTH: 3 — These are educational overviews, not original research. No new mathematical essence extracted beyond known quantum teleportation protocol (Bennett et al., Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

P(x)=|\psi(x)|^2

; teleportation fidelity

F = \langle \psi_{\text{in}}|\rho_{\text{out}}|\psi_{\text{in}}\rangle \leq 1

, with Bell-state measurement success probability

1/4

per attempt for two-qubit teleportation; three-photon teleportation scales as

2^n

basis states,

n=3

→ 8-dimensional Hilbert space. No new constants or ratios appear. | CONNECTION: None directly — no golden ratio, Fibonacci, base-60, or crystallographic symmetry is reported in these sources. The only structural link is the 2D Hilbert space of a qubit, which maps to the Bloch sphere (SO(3) symmetry), but that is standard, not novel. | DEPTH: 3 — These are confirmations and engineering Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com