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CVFT - Ontology Foundations

Iker ibarrola

Published Mar 2, 2026• 0 citations
Publisher

Abstract

This manuscript develops Correlational Variational Field Theory (CVFT) as a minimal structural program for fundamental physics. The framework is based on a kernel-first ontology in which physical reality is described as an open, non-closed correlational structure evolving under a refinement semigroup governed by a structural functional. No primitive spacetime, fields, or particles are postulated at the foundational level. Contact: ibarrolaiker@gmail.com

DOI
10.5281/zenodo.18837865

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This manuscript develops Correlational Variational Field Theory (CVFT) as a minimal structural program for fundamental physics. The framework is based on a kernel-first ontology in which physical reality is described as an open, non-closed correlational structure evolving under a refinement semigroup governed by a structural functional. No primitive spacetime, fields, or particles are postulated at the foundational level. Contact: ibarrolaiker@gmail.com
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.