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Universal Modular Dynamics and the Informational Origin of Structure, Geometry, and the Universe
2026-04-20

We develop a unified informational framework in which the density operator ρ is taken as the fundamental object of physical reality. Within this approach, physical structure emerges through critical phenomena in state space, driven by entropy and correlation dynamics. We show that geometry arises as an emergent correlation structure induced by mutual information, thereby providing a non-spacetime-first description of physical reality. In this sense, what is conventionally referred to as space is redefined as a correlation geometry generated by the relational structure of ρ. Cosmological dynamics is derived from entropy evolution, leading to an effective description of dark energy and dark matter in terms of entropic and correlation-based quantities. A universal scaling law is identified through modular observables, yielding a falsifiable prediction. We formulate the emergence of the Universe as a universal critical phenomenon in state space resulting in structure, and demonstrate that its subsequent evolution and decay follow from the asymptotic behavior of ρ. The framework provides a structural basis for gravitational dynamics, interpreted as a geometric response to entropy and spectral redistribution, and defines a unified observable program applicable across quantum and cosmological regimes.

Ссылка для цитирования:

Nesen O. I. 2026. Universal Modular Dynamics and the Informational Origin of Structure, Geometry, and the Universe. PREPRINTS.RU. https://doi.org/10.24108/preprints-3114999

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