Information-Theoretic Higgs Mechanism: MaxEnt References, Modular Spectra, and Effective Mass Scales

Oleg Ivanovich Nesen

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Information-Theoretic Higgs Mechanism: MaxEnt References, Modular Spectra, and Effective Mass Scales

O. I. Nesen

2026-04-03

https://doi.org/10.24108/preprints-3114832

We develop an information-theoretic interpretation of the Higgs mechanism within the UMD program. A phase is specified by access data F = (P,AF ,ZF ) and a canonical MaxEnt reference state σF (equivalently, an I-projection). We define a Higgs candidate as a robust scalar eigenmode of the linearized modular+GKSL response operator LF around σF , and interpret its characteristic scale as an emergent mass/stiffness proxy. Near phase boundaries, we outline an EFT-compatible reduction: a scalar order parameter h (mode amplitude or MaxEnt-coordinate fluctuation) inherits quadratic stiffness from linear response and admits a Landau-type expansion Veff (h) = a(λ)h2 + bh4 + · · · . We connect this construction to reproducible spectral diagnostics (quantile coordinates kq, commutator probes L, running exponents ν) and formulate falsifiable criteria for Higgs-like regimes in modular RG-proxy flows, while explicitly separating structural/EFT compatibility from phenomenological Standard Model parameter matching.

Ссылка для цитирования:

Nesen O. I. 2026. Information-Theoretic Higgs Mechanism: MaxEnt References, Modular Spectra, and Effective Mass Scales. PREPRINTS.RU. https://doi.org/10.24108/preprints-3114832

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