Nomological Stabilization by Recrystallization - A Model of Constant Variation Modulated by Cosmological Density

This work proposes a speculative theoretical exploration of the conditions for the emergence and stabilization of physical laws within a cyclic cosmological framework. The mechanism is based on an alternation between phases of disintegration and recrystallization of effective laws during extreme density regimes close to the Planck scale. Within this framework, cosmological fluctuations play a determining role in the selection of stable structures. Their amplitude depends on the cosmological density ρ(t), leading to an amplification of instabilities in high-density regimes. This process allows, in particular, the fragility of the cosmological constant Λ to be interpreted as resulting from the absence of a collective stabilization mechanism within the gauge structure of the Standard Model. We introduce the notion of “ontological anchoring,” defined as the degree of physical specificity of a mathematical structure. Very general structures exhibit weak ontological anchoring, whereas structures strongly constrained by the properties of our universe exhibit strong anchoring. The memory of structures across cycles is assumed to be ensured by persistent structural correlations in regimes of extreme coupling. Two qualitative predictions follow: (P1) a correlation between the robustness of a constant and its age of stabilization (P2) a residual variation of the fine-structure constant α with redshift z This framework is non-teleological and interprets the stability of physical laws as a statistical residue of dynamical selection processes. It does not constitute a complete model, but rather a conceptual attempt to formulate a mechanism for the emergent stabilization of physical laws.