Electron Entanglement (EE): V05 (EN)

Abstract

EE_V05 represents a significant refinement and extension of the continuum‑geometric framework for electron entanglement within the Monistic Continuum Model (MCM). Compared to EE_V04, this version improves the mathematical clarity, structural consistency, and conceptual accessibility of the model. The continuum field, operator definitions, and correlation structures have been streamlined and unified across all sections. The main updates include: • A revised and more coherent formulation of the continuum field 𝐶 and the organization space ΛΩ.• A clearer and more precise description of the nonlocal operator 𝐷nl and its role in generating non‑separable kernel structures.• An expanded and reformulated main theorem, providing a transparent spectral argument for continuum‑induced entanglement.• A newly added abstract summarizing the core contributions of EE_V05.• A comprehensive glossary of symbols and concepts to support readability and formal consistency.• Refined discussion and conclusion sections, offering improved comparisons with QM, QFT, GR, GRW, Everett, and relational QM.• Harmonized LaTeX structure and section ordering aligned with the conventions of the MCM series. EE_V05 therefore provides a more complete, coherent, and technically precise presentation of electron entanglement as a geometric and dynamical phenomenon emerging from the continuum substrate of the MCM. MCM – Master Document (10.5281/zenodo.22128163)