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CVFT - Ontological Foundations

Iker ibarrola

Published Mar 9, 2026• 0 citations
Publisher

Abstract

We present an operational formulation of Correlational Variational Field Theory (CVFT) in which physical structure is described by a positive correlational kernel defined over a relational domain. In this framework the fundamental ontological object is a multiscale kernel $K_s(x,y)$ encoding the strength of relational connectivity between degrees of freedom. Contact: ibarrolaiker@gmail.com

DOI
10.5281/zenodo.18922141

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We present an operational formulation of Correlational Variational Field Theory (CVFT) in which physical structure is described by a positive correlational kernel defined over a relational domain. In this framework the fundamental ontological object is a multiscale kernel Ks(x,y)K_s(x,y)Ks​(x,y) encoding the strength of relational connectivity between degrees of freedom. Contact: ibarrolaiker@gmail.com
This document presents the philosophical foundations and applied implications of the Universal Correlational Lattice (UCL) and the Ω-Framework, a theoretical program in which spacetime, quantum fields, observables, and effective physical laws emerge from a single correlational structure. Rather than treating philosophy of physics as a purely interpretative layer placed after formal theory, this work adopts a constructive philosophical stance: ontology, epistemology, and operational meaning are treated as structural components that directly constrain and shape the mathematical formulation of physical theories. The core thesis is that physical reality is fundamentally correlational, not object-based. All observables, symmetries, conservation laws, and effective dynamics arise from a universal correlational kernel defined over internal degrees of freedom and internal times. Spacetime, causality, and classical fields appear only as emergent, coarse-grained descriptions of this deeper correlational substrate. This document addresses, in a unified way: The ontological status of physical structures in the Ω-Framework The role of internal time, relational observables, and contextual measurement A precise operational definition of observables, free from classical background assumptions The distinction between fundamental correlational quantities and effective physical observables How classical concepts (particles, fields, spacetime, trajectories) emerge as stable correlational regimes The relationship between the framework and established theories such as QFT, General Relativity, and effective field theories Criteria for physical meaning, testability, and falsifiability within a correlational theory Crucially, the work postulates that the Ω-Framework is not merely interpretative: it produces concrete, computable observables and effective predictions, including toy-model applications to known physical quantities. Natural philosophy here is expected to work and the current thesis is that it functions as a structural constraint, not as speculation. By explicitly separating: what is fundamental vs. emergent, what is ontological vs. operational, and what is model-dependent vs. structurally necessary, the document provides a rigorous foundation for extending the Ω-Framework toward quantitative physics, while remaining internally consistent and immune to common interpretational ambiguities. This work is intended for philosophy of physics, quantum foundations, quantum gravity, emergent spacetime programs, and theoretical physics seeking a structurally grounded alternative to object-based formalisms.
This paper develops the operational and phenomenological structure of the Universal Correlational Lattice (UCL), a theoretical framework in which physical laws emerge from a fundamental network of correlational relations rather than from predefined spacetime geometry or wavefunction-based postulates. The UCL is formulated as a correlational substrate composed of sites connected by universal kernels that encode relational structure, internal evolution, and effective dynamics. Within this framework, spacetime, quantum fields, and classical observables are not assumed a priori, but arise as emergent, coarse-grained descriptions of deeper correlational processes. A central focus of this work is the clarification of how the theory operates operationally, i.e. how physical predictions, observables, and effective parameters are extracted from the correlational lattice without invoking traditional quantum-mechanical axioms such as fundamental wavefunctions, intrinsic probabilistic postulates, or instantaneous collapse. Probability appears instead as an emergent, contextual measure associated with partial access to the correlational network and with effective coarse-graining, rather than as a fundamental ingredient of the theory. The paper also develops the phenomenological layer of the UCL, showing how effective quantities—such as masses, coupling strengths, correlation lengths, decoherence scales, and metric-like structures—arise from the properties of the underlying kernels. These effective quantities reproduce familiar physical behavior in appropriate limits, while remaining compatible with a fundamentally deterministic and relational substrate. Special attention is given to: The role of internal times and their evolution as one-parameter flows within correlational sites. The emergence of effective temporal ordering without assuming a global external time. The interpretation of uncertainty, decoherence, and measurement as emergent phenomena linked to incomplete correlational resolution. The distinction between operational predictions and ontological commitments within the framework. This work positions the UCL as a unifying structural framework capable of reproducing known phenomenology while offering a conceptually coherent alternative to standard quantum-mechanical and spacetime-based foundations. The emphasis is placed on clarity of interpretation, operational consistency, and direct connection to measurable effective quantities.
This work presents the complete and final canonical closure of the Universal Correlational Lattice (UCL) framework. All ontological primitives, structural assumptions, and dynamical principles required to define the theory are stated explicitly and exhaustively within this document. No additional axioms, foundational postulates, or hidden assumptions are introduced beyond those formalized here. The UCL framework is closed in the strict mathematical and conceptual sense: the space of admissible configurations, the correlational degrees of freedom, the variational structure, the selection criteria for physical realizability, and the operational definition of observables are fully specified. As a consequence, the theory is self-contained and internally complete at the foundational level. After this closure, any further development of the framework necessarily belongs to one of the following categories: (i) applications of the formalism to specific physical systems, (ii) phenomenological instantiations and numerical implementations, or (iii) effective or emergent descriptions derived from the closed correlational base. No subsequent work modifies, extends, or supplements the foundational structure established here. This document therefore constitutes the definitive structural reference of the UCL framework. Its role is not to predict particular phenomena, but to delimit unambiguously the theoretical domain within which all predictions, models, and comparisons with empirical data must be constructed. In this sense, the closure presented here marks the transition from foundational formulation to systematic deployment.