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Updated: Aug 5, 2026
06:48
Single-Molecule Measurement of Protein Interaction Dynamics Within Biomolecular Condensates
Published on: January 5, 2024
Structural Entanglement from Interaction-Induced Fixed Points
Yukio-Pegio Gunji1, Andrei Khrennikov2
1Intermedia Art and Science, School of Fundamental Science and Technology, Waseda University, Ohkubo 3-4-1, Shinjuku-ku, Tokyo 169-8555, Japan.
Entropy (Basel, Switzerland)
|July 28, 2026
Summary
We introduce a novel lattice-theoretic framework to define entanglement in composite information systems without relying on quantum mechanics. This approach reveals entanglement as a structural property of interaction and composition, applicable beyond quantum states.
Area of Science:
- Information Theory
- Lattice Theory
- Foundations of Quantum Mechanics
Background:
- Standard definitions of entanglement presuppose Hilbert spaces and quantum states.
- A unified framework for entanglement beyond quantum mechanics is lacking.
Purpose of the Study:
- To develop a lattice-theoretic framework for composite information systems.
- To define and characterize entanglement structurally, independent of quantum formalism.
- To explore the emergent nature of non-distributive and orthomodular structures.
Main Methods:
- Utilizing approximation operators from indiscernibility relations.
- Constructing composite systems via interaction-dependent closure operators.
- Defining entanglement structurally as non-generable fixed points.
Main Results:
- A generalized definition of entanglement as a property of composition and interaction.
- Demonstration that quantum entanglement is a stabilized structural constraint.
- Identification of structural entanglement in relational databases.
Conclusions:
- Entanglement is a fundamental structural property of composite systems, not exclusive to quantum mechanics.
- The framework provides a unified, information-theoretic perspective on non-separability.
- Structural entanglement exists independently of linear or probabilistic interpretations.
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