The Diffusion Quantum (DQ) framework is proposed explicitly as a speculative but disciplined research programme, rather than as a fully established fundamental theory. Its primary ambition is exploratory: to provide a structured way of thinking about how information, coherence and geometry might be related at sub–Planckian scales, and how such structures could leave faint but observable imprints in systems ranging from entangled pairs to plasmas and astrophysical environments. From the outset, we do not assume that DQ in its present form is the “true ontology” of nature. Instead, we treat it as a working hypothesis about an extended configuration space , in which encodes geometric hidden variables or informational degrees of freedom beyond standard spacetime. In this view, the usual quantum formalism (QM/QFT) is regarded as an effective projection of a richer dynamics, but all existing empirical successes of quantum theory and relativity are taken as non–negotiable constraints that any DQ model must reproduce in the appropriate limits.
The Diffusion Quantum (DQ) framework is proposed explicitly as a speculative but disciplined research programme, rather than as a fully established fundamental theory. Its primary ambition is exploratory: to provide a structured way of thinking about how information, coherence and geometry might be related at sub–Planckian scales, and how such structures could leave faint but observable imprints in systems ranging from entangled pairs to plasmas and astrophysical environments. From the outset, we do not assume that DQ in its present form is the “true ontology” of nature. Instead, we treat it as a working hypothesis about an extended configuration space , in which encodes geometric hidden variables or informational degrees of freedom beyond standard spacetime. In this view, the usual quantum formalism (QM/QFT) is regarded as an effective projection of a richer dynamics, but all existing empirical successes of quantum theory and relativity are taken as non–negotiable constraints that any DQ model must reproduce in the appropriate limits.
This document presents the Universal Correlational Lattice (UCL) as a general theoretical framework for constructing physical models directly from correlational structures, without assuming spacetime, fields, or quantum states as fundamental entities. The UCL formalism is built around a universal correlational kernel defined over relational sites, from which effective notions of dynamics, observables, uncertainty, and emergent geometry arise through explicit variational and coarse-graining procedures. Rather than postulating equations of motion or quantization rules a priori, the framework provides a model-building methodology: physical laws appear as effective descriptions of stable correlational configurations. This document is not a phenomenological fit nor a proposal of a specific new particle or interaction. Instead, it serves as a theoretical construction manual, showing how to: Define correlational degrees of freedom and their internal parameters, Construct effective observables from correlational averages, Derive emergent dynamics through functional variation, Identify classical, quantum-like, and geometric regimes as limits of the same underlying structure, Build toy models and progressively refine them toward empirical applicability. Uncertainty, probabilistic behavior, and apparent quantum effects are treated as emergent properties of incomplete access to correlational information, not as fundamental axioms. Likewise, time is introduced through internal correlational evolution and synchronization, rather than assumed as an external background parameter. The goal of the UCL framework is to provide a unified, internally consistent base from which models relevant to particle physics, gravity, and cosmology can be constructed and compared with existing theories such as Quantum Field Theory and General Relativity, while remaining agnostic about their ultimate empirical success. This work is intended for researchers interested in: Foundations of physics, Emergent spacetime and dynamics, Alternative formulations of quantum theory, Correlational and relational approaches to physical law. Empirical validation is not claimed at this stage; instead, the emphasis is placed on conceptual completeness, internal consistency, and explicit model-building capability.
The main ambition of this work has been to explore the prospects for dissolving the foundational problems of quantum theory by adopting the epistemic conception of quantum states and reflecting on how it should be spelled out in detail. This differs (at least in emphasis, if not more profoundly) from the main ambition of those — ‘realistically minded’ — philosophers whose declared aim is to determine what reality is like if it is as quantum theory says. If the Rule Perspective is correct, quantum theory does not really say anything about reality at all: features of reality are described not by quantum states, but by NQMCs, and while quantum theory helps us ascribe probabilities to the NQMCs, it does not typically make any statements as to which NQMCs are true and which are false. However, even though quantum theory does not in that sense say anything about reality, we can learn a lot about reality by reflecting on what features it must have for quantum theory’s undisputed empirical success to be possible. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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.
It is argued that the key concepts of quantum theory—Planck’s quantum proposal, de Broglie’s wave–particle dualism and Schrodinger’s wave function idea—are neither incontestable nor integrated seamlessly into the fabric of quantum theory. In fact, it is doubtful whether classical wave treatments can serve as the basis for analysing (purported) matter waves at all. Also, an element of circular reasoning apparently surrounds the wave function concept, as the Hamiltonian-based Schrodinger equation is constrained to lead to the discrete solutions that represent quantization. These ambiguities appear particularly damning against the backdrop of the dubious Rayleigh–Jeans–Planck analysis of black body radiation, and the discredited evidence for the wave theory of radiation (based on purported diffraction phenomena). These considerations raise intriguing questions about the role of mathematical modelling in the study of natural phenomena (not to mention certain pedagogical quandaries). Thus, quantum theory—cloaked though it is in forbidding mathematical rigor—must submit to a dispassionate analysis of its extent and compass, particularly in view of its ostensible subversion of common-sense notions of reality.
The general view is that all fundamental physical laws should be formulated within the framework given by quantum mechanics (QM). In a sense, QM therefore has the character of a metaphysical theory. Consequently, if it is possible to derive QM from more basic principles, these principles should be of general, philosophical nature. Here, we derive the formalism of QM from well-motivated epistemic principles. A key assumption is that a physical theory that relies on entities or distinctions that are unknowable in principle gives rise to wrong predictions. First, an epistemic formalism is developed, using concepts like knowledge and potential knowledge, identifying a physical state S with the potential knowledge of the physical world. It is demonstrated that QM emerges from this formalism. However, Hilbert spaces, wave functions and probabilities are defined in certain well-defined observational contexts only. This means that the epistemic formalism is broader than QM. In the fundamental layer of description, the physical state S is a subset of a state space S={Z}, such that S always contains many elements Z. These elements correspond to unattainable states of complete knowledge of the world. The evolution of S cannot be determined in terms of the individual evolution of the elements Z, unlike the evolution of an ensemble in classical phase space. The evolution of S is described in terms of sequential time n∈N, which is updated according to n→n+1 each time an event occurs, each time potential knowledge changes. Sequential time n can be separated from relational time t, which describes distances between events in space-time. There is an entire space-time associated with each n, in which t represents the knowledge at sequential time n about the temporal relations between present and past events.
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.