
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).
variational principle, subsystem structure, tensor product factorization, quantum information, REM, factorization space, Relational Emergence Model, regime competition, mutual information, decoherence, relational quantum mechanics
variational principle, subsystem structure, tensor product factorization, quantum information, REM, factorization space, Relational Emergence Model, regime competition, mutual information, decoherence, relational quantum mechanics
| 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). | 0 | |
| 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. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
