Universal Modular Dynamics: A Distributional Theory of Geometry and Matter

Oleg Ivanovich Nesen

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Эта статья является препринтом и не была отрецензирована.
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Universal Modular Dynamics: A Distributional Theory of Geometry and Matter

O. I. Nesen

2026-05-17

https://doi.org/10.24108/preprints-3115259

We introduce a framework in which geometry and matter emerge from the modular structure of quantum states. The fundamental object is the density operator ρ, and all physical structure is derived from its spectrum, modular operator K = − log ρ, and operator-level interactions. We demonstrate that geometric response is not determined by spectral gaps or scalar functionals, but by the distribution of interaction kernels Xij = (ki −kj ) 2 |Oij | 2. Resonances arise as heavy-tail structures in this distribution, providing a new mechanism linking spectral modes and geometry. We further reinterpret the Higgs mechanism as a phase-selection process within the modular structure, where an effective order parameter controls the distribution of operator interactions.

Ссылка для цитирования:

Nesen O. I. 2026. Universal Modular Dynamics: A Distributional Theory of Geometry and Matter. PREPRINTS.RU. https://doi.org/10.24108/preprints-3115259

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