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This manuscript develops a speculative mathematical-physical framework in which physical law, renormalization dynamics, cosmological evolution, logical consistency, and quantum measurement emerge as mutually self-referential structures inside a recursively closed theory space. Beginning from renormalization-group universality and categorical self-consistency, the con- struction progressively develops: • meta-logical fixed points of physical law, • thermodynamics of theory formation, • fluctuation principles for universe transitions, • variational principles on cosmological histories, • quantum superpositions of law-selection mechanisms, • and finally a fully self-referential closure in which physics becomes a fixed point of its own generative structure. The framework combines concepts inspired by: • renormalization theory, • category theory, • homotopy theory, • quantum cosmology, • statistical mechanics, • logical incompleteness, • and recursive self-reference. The resulting structure should not be interpreted as an established physical theory, but rather as a speculative meta-theoretical exploration of the possibility that physical reality may itself arise from recursive consistency conditions acting on the space of all possible laws. This work was developed as a continuous recursive exploration of the structure of physical law and the possibility that physics may admit a self-referential closure principle. Rather than beginning from fixed axioms, the manuscript proceeds through iterative conceptual construction. Each section generates the conditions required for the next one: RG flow → logical consistency → law-space thermodynamics → cosmological histories → selection principles → quantum law space → measurement of laws → self-referential closure The text intentionally preserves the developmental structure of discovery. As a result, concepts often emerge recursively and acquire increasing levels of abstraction as the manuscript progresses. Many constructions introduced in this work are speculative and extend beyond currently estab- lished mathematical physics. The purpose of the manuscript is therefore not to claim completion of a physical theory, but to investigate the consequences of treating physical law itself as a dynamical and self-generating object. The central philosophical hypothesis explored throughout the work is: Physics may not merely describe reality. Physics may itself be a fixed point of the process that generates reality.
Nesen O. I. 2026. Self-Referential Structures of Physics Renormalization, Logical Cosmology, Quantum Selection Principles, and the Closure of Physical Law. PREPRINTS.RU. https://doi.org/10.24108/preprints-3115251