Theory to build models in UCL
Iker Ibarrola Echeverría
This document presents the Universal Correlational Lattice (UCL) as a general theoretical framework for constructing physical models directly from correlational structures, without assuming spacetime, fields, or quantum states as fundamental entities. The UCL formalism is built around a universal correlational kernel defined over relational sites, from which effective notions of dynamics, observables, uncertainty, and emergent geometry arise through explicit variational and coarse-graining procedures. Rather than postulating equations of motion or quantization rules a priori, the framework provides a model-building methodology: physical laws appear as effective descriptions of stable correlational configurations. This document is not a phenomenological fit nor a proposal of a specific new particle or interaction. Instead, it serves as a theoretical construction manual, showing how to: Define correlational degrees of freedom and their internal parameters, Construct effective observables from correlational averages, Derive emergent dynamics through functional variation, Identify classical, quantum-like, and geometric regimes as limits of the same underlying structure, Build toy models and progressively refine them toward empirical applicability. Uncertainty, probabilistic behavior, and apparent quantum effects are treated as emergent properties of incomplete access to correlational information, not as fundamental axioms. Likewise, time is introduced through internal correlational evolution and synchronization, rather than assumed as an external background parameter. The goal of the UCL framework is to provide a unified, internally consistent base from which models relevant to particle physics, gravity, and cosmology can be constructed and compared with existing theories such as Quantum Field Theory and General Relativity, while remaining agnostic about their ultimate empirical success. This work is intended for researchers interested in: Foundations of physics, Emergent spacetime and dynamics, Alternative formulations of quantum theory, Correlational and relational approaches to physical law. Empirical validation is not claimed at this stage; instead, the emphasis is placed on conceptual completeness, internal consistency, and explicit model-building capability.
•Dec 22, 2025•0 citations