What question did this study set out to answer?

To examine theoretical mechanisms of quantum coherence at macroscopic scales across tunneling phenomena, atom interferometry, and classical-quantum hybrid neural networks.

August 20, 20260 citationsOpen Access

Quantum Coherence at Macroscopic Scales: Tunneling, Interferometry, and Hybrid Networks — E8 Intelligence Research

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ACAndrew Stewart Caldin

Key Points

To examine theoretical mechanisms of quantum coherence at macroscopic scales across tunneling phenomena, atom interferometry, and classical-quantum hybrid neural networks.
Conceptual evaluation of macroscopic wave-particle duality using de Broglie wavelength formulations.
Theoretical framework analysis of matter-wave interference governed by the Schrödinger equation in atom interferometry.
Investigation of parameter mapping and fidelity metrics for transfer learning across classical and quantum neural network layers.
Macroscopic quantum tunneling and matter-wave interferometry establish theoretical conditions for large-scale quantum coherence.
Transfer learning provides a functional mathematical bridge between classical and quantum network architectures via quantum state fidelity metrics.

Abstract

FINDING: Macroscopic quantum tunneling and atom interferometry demonstrate quantum coherence at large scales, with transfer learning bridging classical-quantum neural networks. | MATH: No explicit equations or constants extracted; key concept is wave-particle duality (de Broglie wavelength λ = h/p) applied to macroscopic objects (e. g. , tennis ball tunneling). Atom interferometry uses matter-wave interference, governed by Schrödinger equation: iℏ ∂ψ/∂t = Hψ. Transfer learning in hybrid networks involves parameter mapping between classical and quantum layers, likely using fidelity metrics F = |⟨ψₜarget|ψₒutput⟩|². | CONNECTION: No direct geometric ratios (0. 382, 0. 618, etc. ) or base-60, crystallographic symmetries, or root systems found. Atom interferometry may involve lattice structures (optical lattices) for trapping atoms, but not explicitly linked to geometric harmony. | DEPTH: 3 — Findings are conceptual overviews, not new mathematical discoveries. Macroscopic quantum tunneling is Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence. com

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Quantum Coherence at Macroscopic Scales: Tunneling, Interferometry, and Hybrid Networks — E8 Intelligence Research

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