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Relational Coexistence Theory (TCR): Foundational Ontology for Quantum and Cosmological Phenomena

Pietro Curatola

Published Mar 2, 2026• 0 citations
Publisher

Abstract

Abstract The ”Teoria della Coesistenza Relazionale” (TCR, Relational Coexistence Theory) proposes an ontological framework in which spacetime R is not the primary level of reality, but emerges from a more fundamental relational domain R′. Within this perspective, quantum and cosmological phenomena commonly treated as independent such as entanglement, decoherence, cosmic expansion, and the arrow of time are reinterpreted as different manifestations of the same underlying relational dynamics. The present work is devoted to the definition of the ontological assumptions and axiomatic structure of the TCR. In particular, it introduces the concepts of relational coexistence and emergence as the foundational elements from which physical phenomena in spacetime are derived. The aim of this study is not to provide an empirical validation of the framework, but to establish its internal coherence, conceptual consistency, and explanatory scope at the level of fundamental ontology. This work does not aim at providing a complete physical model or immediate empirical validation, but at establishing a coherent ontological and axiomatic framework within the scope of foundational physics.

DOI
10.21203/rs.3.rs-8985410/v1

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Abstract The ”Teoria della Coesistenza Relazionale” (TCR, Relational Coexistence Theory) proposes an ontological framework in which spacetime R is not the primary level of reality, but emerges from a more fundamental relational domain R′. Within this perspective, quantum and cosmological phenomena commonly treated as independent such as entanglement, decoherence, cosmic expansion, and the arrow of time are reinterpreted as different manifestations of the same underlying relational dynamics. The present work is devoted to the definition of the ontological assumptions and axiomatic structure of the TCR. In particular, it introduces the concepts of relational coexistence and emergence as the foundational elements from which physical phenomena in spacetime are derived. The aim of this study is not to provide an empirical validation of the framework, but to establish its internal coherence, conceptual consistency, and explanatory scope at the level of fundamental ontology. This work does not aim at providing a complete physical model or immediate empirical validation, but at establishing a coherent ontological and axiomatic framework within the scope of foundational physics.
This paper introduces the Theory of Emergent Metric Tension in Causality (TEMTC), grounded in the foundational registers of Meta-Para-Ontology, as an ontological framework for understanding the conceptual divide between quantum mechanics and general relativity. Rather than attempting a technical unification of the two theories, the approach reconsiders the ontological assumptions underlying them. It is argued that spacetime structure, gravitational dynamics, and the phenomena collectively described as quantum behavior should not be treated as fundamental features of reality, but as emergent expressions of a deeper level of causal organization. Within this framework, causality is conceived as a structured field of relational constraints whose internal tensions become observable as phenomena. Spacetime geometry expresses the stabilization of these causal relations, and gravity reflects variations in their density and organization. Space and time arise at the level of manifestation as relational forms through which causal organization becomes accessible to experience and observation. By situating both quantum mechanics and general relativity within a common ontological context, TEMTC provides a conceptual basis for understanding their incompatibility while preserving the integrity of each theory and requiring no additional physical postulates.
This work proposes a novel conceptual framework for the foundations of physics, based on the idea that physical reality emerges from a discrete causal network of events and the accumulation of "memory" associated with these interactions. Unlike standard approaches, spacetime and elementary particles are not presupposed but emerge dynamically. The theory reinterprets General Relativity and Quantum Mechanics as manifestations of this memory dynamic in different density regimes. Concepts such as quantum collapse, the arrow of time, and particle properties are derived within this causal ontology. The work explores the consequences of applying the Heideggerian philosophical concept of historicity to the foundations of physics. Detailed appendices provide the mathematical formalization and emergent derivations.
Spacetime is not a fundamental arena but a representational interface that becomes valid only when a quantum state's internal relational structure satisfies specific conditions. This work synthesizes established results from quantum foundations, decoherence theory, and emergent spacetime research into a coherent ontology identifying when a wavefunction "licenses" a spacetime description. Three structural conditions must be jointly satisfied: (1) entanglement is sufficiently structured to support connected geometry; (2) entanglement is not so dense as to erase locality through volume-law scrambling; and (3) decoherence suppresses phase relationships enough to produce WKB-stable classical histories. A fourth structural condition: the Higgs field's vacuum expectation value, sets the classical mass spectrum and stabilizes decoherence. When all conditions hold, a subsystem is forced into a classical mode of representation characterized by locality, geometry, causal order, and sequential time. The Big Bang is reframed as the relational event at which these conditions were first satisfied, rather than a temporal origin. The rendering model is then extended to examine cosmological parameters as interface requirements, classical end-time scenarios as failures of the interface (not the substrate), and the metaphysical implications of a universe whose deepest ontology is non-geometric, nonlocal, and non-temporal. Drawing on philosophical traditions from Plato to Bergson alongside modern quantum gravity, the paper concludes that reality is correlation: spacetime is the classical world's shadow of a deeper relational whole, and the wavefunction is the universe.
A Trinary Relational Framework for Physics: Information, Energy, and Emergent Spacetime presents a foundational theoretical model in which relations, rather than isolated objects, are treated as the primary constituents of physical reality. The paper proposes a trinary ontology in which any minimal physical existence consists of two systems and the relation between them, with the relation itself carrying physical significance. From this basis, it develops a relational formalism linking informational structure to energy, mass, decoherence, time, gravity, and discrete geometry. The framework introduces a non-Markovian, threshold-based update mechanism in which physical change occurs only when accumulated relational drive overcomes stability resistance. Within this model, decoherence is reinterpreted as an objective structural phase transition rather than an observer-dependent collapse, black hole singularities are replaced by maximum-density stability walls, and gravitational time dilation is derived as informational update-impedance. The paper also argues that discrete geometric spectra emerge from resonance-selected relational structure, yielding an area-first ontology that can generate bounded volumetric primitives without presupposing background spacetime. In addition to its ontological and mathematical proposals, the paper outlines a route toward explaining the Standard Model mass hierarchy in terms of informational complexity, local constraint structure, and pathway adjacency. It further advances falsifiable predictions, particularly in quantum decoherence, discrete area quantization, and black hole evaporation, with several proposed tests designed to be accessible using current or near-term experimental technology. Overall, the work is an attempt to construct a unified, information-first relational physics in which many longstanding foundational problems, including the measurement problem, emergent classicality, temporal asymmetry, and singularity formation, arise from a single underlying mechanism: the thresholded updating of relational information.
Resolution Ontology (RO) is a conceptual framework that proposes spacetime, time, and classical physical reality are emergent rather than fundamental. The framework is built upon a single ontological principle: physical reality is generated through irreversible resolution events in which coherently constrained quantum potential becomes definite classical fact.Within this view, spacetime is interpreted not as a pre-existing container in which events occur, but as the accumulated physical record of prior resolutions. Time is identified with the ordered accumulation of these resolution events, while observation is understood as access to delayed physical record rather than direct access to the generative present.RO provides a unified ontological interpretation of a range of foundational phenomena, including quantum measurement, quantum entanglement, the double-slit experiment, gravitation, mass-energy equivalence, and the relationship between quantum mechanics and general relativity. The framework preserves the established mathematical structure and empirical successes of modern physics while proposing an alternative underlying ontology in which spacetime emerges from a deeper generative process.The paper concludes with a proposed experimental avenue through which key aspects of the framework may be tested and potentially falsified.
Physics has often advanced by revealing that concepts once regarded as fundamental are instead emergent manifestations of deeper organizing principles. Forces gave way to fields, gravitation became the geometry of spacetime, and quantum mechanics replaced deterministic particles with probabilistic wavefunctions. The Relational Primitive Hypothesis (RPH) asks whether this progression may continue one step further. Rather than treating particles, fields, spacetime, or geometry as the primitive constituents of physical reality, RPH proposes that evolving relational structures constitute the primitive ontology from which familiar physical quantities emerge. The objective of RPH is not to replace established physics, but to investigate whether a simpler primitive ontology can provide a common foundation from which established physical theories may naturally emerge. Within this framework, matter is interpreted as stable relational organization, mass as persistent relational stability, spacetime as emergent relational geometry, and physical interactions as consequences of evolving relational dynamics. This work does not present a completed physical theory. Instead, it establishes a conceptual framework and a structured research program. It defines a proposed ontology, formulates a minimal set of postulates, identifies the mathematical objectives required to develop a predictive theory, examines the physical consequences expected from the proposed framework, and establishes scientific criteria by which the hypothesis must ultimately be evaluated. The Relational Primitive Hypothesis neither replaces nor contradicts established physical theories. Rather, it investigates whether General Relativity, quantum mechanics, and other successful physical theories may themselves emerge as effective descriptions of a more fundamental relational dynamic. The ultimate success or failure of the hypothesis depends not upon its philosophical appeal, but upon the development of a mathematically consistent framework capable of reproducing established physics while generating new, experimentally testable predictions. Until such a framework is achieved, the Relational Primitive Hypothesis should be regarded as a structured research program whose validity remains an open scientific question.