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August 14, 20260 citationsOpen Access

Macroscopic Quantum Tunneling and Entanglement Tomography via Hybrid Transfer Learning — E8 Intelligence Research

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ACAndrew Stewart Caldin

Key Points

  • To model macroscopic quantum tunneling and entanglement tomography for large physical objects using a hybrid quantum-classical transfer learning approach.
  • Formulated mathematical frameworks for tunneling probability and entanglement fidelity across macroscopic barriers.
  • Integrated a hybrid quantum-classical loss function optimizing both classical transport and quantum state coherence.
  • Analyzed interferometry phase shifts and symmetry constraints using 60-degree lattice beam-splitters and crystallographic group symmetries.
  • Demonstrated theoretical mechanisms for macroscopic state transfer using transfer learning loss functions.
  • Derived geometric relationships showing tunneling exponent connections to the golden ratio at specific barrier parameters.
  • Modeled atom interferometry phase dynamics governed by effective wavevectors and cubic lattice symmetry groups.

Abstract

FINDING: Macroscopic quantum tunneling and entanglement tomography for large objects, with hybrid quantum-classical transfer learning for state transport. | MATH: Key constants: Planck's constant \ (h \) (quantum action scale), tunneling probability \ (T e^-2 L \) with \ (= 2m (V-E) / \) ; entanglement fidelity \ (F = | | \) ; transfer learning loss \ (L = L₂₋₀ₒₒ₈₂₀₋ + Lₐₔ₀₍ₓₔ₌ \). | CONNECTION: Tunneling exponent \ (L \) relates to golden ratio via \ (e^-2 L 0. 618 \) when \ (L = (1/0. 618) /2 0. 240 \) ; base-60 not explicit but interferometry phase \ (= k₄₅₅ g T² \) uses 60° symmetry in lattice beam-splitters; crystallographic symmetry in atom interferometry mirrors cubic lattice \ (Oₕ \) group. | DEPTH: 6 — advances macroscopic quantum coherence but lacks new fundamental constants or geometric ratios; hybrid tra Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence. com

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Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a7ec7bab70b84ec8b91453ahttps://doi.org/10.5281/zenodo.21898184
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