MSRO: Modular–Spectral RG Observables for Emergent Geometry and Non-Geometric Phases

Oleg Nesen

Published Mar 25, 2026• 0 citations

Abstract

We introduce a new computational diagnostic family, MSRO (Modular–Spectral RG Observables), designed to detect emergent geometry, critical/string-like windows, and nongeometric regimes in modular RG-proxy flows. MSRO integrates spectral profile observables k(q) = −log λq(ρ), modular commutator diagnostics (normalized commutators, running exponents ν, and closure quality), and reproducible calibration rules from phase mapping. We define a spectral-only MSRO tier that predicts geometry stability and phase labels using only modular-spectral features, and a full MSRO tier that provides an “instrument panel” including locality / partition markers and backreaction response coefficients. Using a reference experimental design (dim=64 mixed/Gibbs-like family; (p, κ) grid; bootstrap seeds), we specify out-of-sample validation, robustness checks, and explicit failure domains. MSRO is presented as a measurable instrument rather than an ontological claim: every emergence statement is paired with reproducible diagnostics, uncertainty quantification, and domain-restricted validity.

DOI: 10.24108/preprints-3114776

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