The Relational Manifold: Foundations of a Unified Field Theory

Abstract

The Relational Manifold: Foundations of a Unified Field Theory develops a unified ontological and mathematical framework in which identity, relation, continuity, and generativity form the primitive structure of physical reality. The relational manifold is introduced as a single, self‑consistent substrate from which spacetime, matter, fields, coherence, entanglement, and measurement emerge as modes of relational organization rather than independent fundamental entities. The work establishes the manifold’s structural rules, derives its dynamical behavior, and shows how classical and quantum phenomena arise as appearances of deeper relational processes. By replacing object‑based ontology with a generative relational substrate, the theory provides a unified account of persistence, interaction, geometry, and information, offering a coherent foundation for physics across scales. This monograph presents the conceptual basis, mathematical scaffolding, and physical implications of the relational manifold, positioning it as a candidate framework for a unified field theory.