The Relational Zero State Hypothesis (RZS): Gradient Flow Dynamics and the Emergence of Spacetime Geometry

Romero, Felipe

2026Zenodo (CERN European Organization for Nuclear Research)12 citationsDOI Open Access PDF

Abstract

This paper proposes an ontological extension to the ΛCDM model, addressing the initial singularity through the Relational Zero State (RZS). Postulated as a pre-geometric scalar field of pure potentiality, we demonstrate that spacetime is an emergent property of a vacuum relaxation process. We substitute classical temporal evolution with Gradient Flow dynamics parameterized by relational complexity (σ). The model recovers General Relativity in the macroscopic limit and reinterprets the speed of light as the system's causal update rate.Version 3.0.0 is the definitive foundational manuscript. This update corrects document metadata and clarifies the work's status as original independent research. The theoretical priority is maintained from the original registration date of DOI 10.5281/zenodo.17756069

Topics & Concepts

SpacetimeMathematicsSingularityProperty (philosophy)Theoretical physicsScalar fieldScalar (mathematics)Flow (mathematics)Balanced flowDynamics (music)General relativityClassical mechanicsLimit (mathematics)State (computer science)Differential geometryCausal setsDomain (mathematical analysis)Field (mathematics)Extension (predicate logic)Time evolutionRelaxation (psychology)Background independenceGeometryPhysicsState spaceCovariant transformationStatistical physicsGravitational singularityZero (linguistics)Computer scienceMathematical analysisRotation formalisms in three dimensionsTheory of relativityAlgebra over a fieldSingularity theoryPure mathematicsNoncommutative and Quantum Gravity TheoriesQuantum Mechanics and ApplicationsCosmology and Gravitation Theories