Published April 18, 2026
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Variational Generation of Relational Structure in the Relational Emergence Model
Description
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).
Files
REM_lambda_Maruko_2026.pdf
Additional details
Related works
- Is part of
- Preprint: 10.5281/zenodo.19123314 (DOI)
- Preprint: 10.5281/zenodo.19155166 (DOI)
- Preprint: 10.5281/zenodo.19157709 (DOI)
- Preprint: 10.5281/zenodo.19637584 (DOI)
- Preprint: 10.5281/zenodo.19637651 (DOI)
References
- Rovelli 1996, Int.J.Theor.Phys. 35, 1637
- Zurek 2003, Rev.Mod.Phys. 75, 715
- Carroll & Singh 2021, PRA 103, 022213