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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Variational Generation of Relational Structure in the Relational Emergence Model

Authors: Maruko, Yoshifumi;

Variational Generation of Relational Structure in the Relational Emergence Model

Abstract

Relational Quantum Mechanics (RQM) defines physical states relationally but does not specify how relational structure itself becomes articulated. The Relational Emergence Model (REM) introduces a generative layer beneath relational description, modeling relational articulation as a variational selection problem over Hilbert-space factorizations: Φ = Φ_S + λ Φ_H combining informational differentiation and dynamical stability. The parameter λ acts as a control parameter governing the balance between informational structure and dynamical coherence. A three-qubit example with H = Z₁Z₃ demonstrates genuine regime competition: at λ* ≈ 0.3672 the selected factorization switches from the informationally optimal A|BC partition to the dynamically stable B|AC partition (zero boundary coupling). Physical interpretation of λ via decoherence timescales and a minimal open-system model are provided. Relation to REM5 (quadratic cost) and Carroll–Singh quantum mereology are discussed. This paper is part of the Relational Emergence Model (REM) series (REM_lambda).

Keywords

variational principle, subsystem structure, tensor product factorization, quantum information, REM, factorization space, Relational Emergence Model, regime competition, mutual information, decoherence, relational quantum mechanics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green