Critical (String-like) Regimes as Partition Instability

Олег Иванович Несен

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Эта статья является препринтом и не была отрецензирована.
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Critical (String-like) Regimes as Partition Instability

О. И. Несен

2026-03-12

https://doi.org/10.24108/preprints-3114685

We propose a conservative definition of “string-like” criticality within a modular foundations program: not as a microscopic ontological primitive, but as a dynamical regime in which no stable phase partition persists under RG-proxy modular flow. We define partition instability markers based on (i) the switching rate of P(t), (ii) the flatness of the partition landscape Φ(P; ρ) measured by gaps between near-optimal partitions, and (iii) the persistence of nonlocality through elevated TP . We connect these markers to modular spectral diagnostics from Paper D (spectral quantiles kq, commutator probes L, running exponents ν) and propose a reproducible PASS/FAIL detection protocol with data-driven thresholds calibrated from baseline percentiles. A demonstrative case study (Variant A) uses the dim=64 Gibbs-chaotic mixing path and a critical zoom around px ≈ 0.04 to illustrate how partition flatness and switching emerge alongside spectral-tail anomalies, providing a practical route to identifying critical regimes in modular RG-proxy flows.

Ссылка для цитирования:

Несен О. И. 2026. Critical (String-like) Regimes as Partition Instability. PREPRINTS.RU. https://doi.org/10.24108/preprints-3114685

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