Examples of how GTi can ground existing theories: generativity → relations → Rovelli (RQM) generativity → information → Wheeler generativity → geometry → Penrose generativity → spectra → spectral models generativity → biological networks → morphogenesis generativity → cognition → awareness models These examples illustrate the breadth of what GTi can explain. A concrete demonstration is provided in the publication “Generative Interpretation of Quantum Entanglement” (Zenodo: https://zenodo.org/records/19058217), where entanglementis shown not as a mysterious quantum link, but as the observable trace of a shared generative origin. GTi (Generative Theory of ilons) introduces a generative ontology at level 0 — a pre‑relational, pre‑informational and pre‑structural foundation that explains how the first structures of reality can arise. To our knowledge, no such generative foundation has previously existed in the scientific literature. Most theories begin with relations, information, geometry, spectra, or biological organization already in place. GTi precedes all of them by providing the minimal generative substrate from which these structures can emerge. GTi is not a physical theory and not a model of any specific domain. It is a universal generative skeleton, capable of supporting many different interpretive frameworks. Each continuation of GTi arises through the choice of a functor written linearlyas: H: Set → C, where C is a category of structures. This makes GTi compatible with a wide range of scientific theories, each representing a different continuation of the generative substrate. The purpose of this publication is to present GTi as a new generative foundation and to invite researchers to develop their own continuations. GTi offers a clean, minimal and mathematically precise starting point for embedding diverse scientific theories into a common generative framework. Researchers in physics, information theory, biology, cognitive science, mathematics, philosophy of science and complexity theory are warmly invited to explore how their models may be grounded in GTi. Author: Waldemar Superson
Examples of how GTi can ground existing theories: generativity → relations → Rovelli (RQM) generativity → information → Wheeler generativity → geometry → Penrose generativity → spectra → spectral models generativity → biological networks → morphogenesis generativity → cognition → awareness models These examples illustrate the breadth of what GTi can explain. A concrete demonstration is provided in the publication “Generative Interpretation of Quantum Entanglement” (Zenodo: https://zenodo.org/records/19058217), where entanglementis shown not as a mysterious quantum link, but as the observable trace of a shared generative origin. GTi (Generative Theory of ilons) introduces a generative ontology at level 0 — a pre‑relational, pre‑informational and pre‑structural foundation that explains how the first structures of reality can arise. To our knowledge, no such generative foundation has previously existed in the scientific literature. Most theories begin with relations, information, geometry, spectra, or biological organization already in place. GTi precedes all of them by providing the minimal generative substrate from which these structures can emerge. GTi is not a physical theory and not a model of any specific domain. It is a universal generative skeleton, capable of supporting many different interpretive frameworks. Each continuation of GTi arises through the choice of a functor written linearlyas: H: Set → C, where C is a category of structures. This makes GTi compatible with a wide range of scientific theories, each representing a different continuation of the generative substrate. The purpose of this publication is to present GTi as a new generative foundation and to invite researchers to develop their own continuations. GTi offers a clean, minimal and mathematically precise starting point for embedding diverse scientific theories into a common generative framework. Researchers in physics, information theory, biology, cognitive science, mathematics, philosophy of science and complexity theory are warmly invited to explore how their models may be grounded in GTi. Author: Waldemar Superson
GTi (Generative Theory of ilons) is presented as a foundational generative ontology underlying relational, structural, informational, and categorical approaches in modern physics. The theory replaces substance‑based primitives with ilons—abstract generative units related through morphisms in a small category. Informational and structural configurations ariseas colimits of realized diagrams, and a family of functorial invariants Θ,S,k,λ,χ captures structural properties such as distinction, coherence, stability, and topological class. GTi is not a physical theory but a pre‑relational substrate from which multiple higher‑level frameworks may emerge. It provides a deeper generative layer beneath relational quantum mechanics (Rovelli), informational ontologies such as Wheeler’s “it from bit,” categorical physics (Baez), categorical quantum mechanics (Abramsky–Coecke), ontic structural realism (Ladyman & Ross), and geometric or spinorial programs (Penrose). GTi also offers a structural foundation compatible with spectral and distinction‑based approaches. The article develops the mathematical foundations of GTi, including the generative category I, the realization functor G:I→Set, the role of diagrams and colimits in emergent structure, and the definition of structural invariants. GTi is proposedas a candidate for the deepest ontological layer beneath relational physics and other contemporary foundational programs. Author: Waldemar Superson
Entanglement is not a mysterious quantum link between distant systems — it is the observable trace of a shared generative origin. This work proposes a minimal generative reinterpretation of quantum entanglement within the Generative Theory of ilons (GTi). Instead of treating entanglement as a fundamental quantum property, we interpret it as a consequence of shared generative origin. Within this framework, physical and informational structures arise from a deeper, non-informational substrate composedof primitive generators (ilons). Entangled systems correspond to structures that cannot be decomposed into independent generative components. This perspective preserves the full mathematical formalism of quantum mechanics while providing a structural explanation of non-factorizability and Bell inequality violations. In particular, Bell violations are interpreted not as evidence of nonlocal influence, but as signatures of irreducible shared generative structure. The proposal does not modify quantum theory but introduces a deeper explanatory layer that may be relevantfor foundations of physics, quantum information, and complex systems. Author: Waldemar Superson
Relational Quantum Mechanics (RQM) proposes that physical states exist only relative to other systems, but does not explain how such relational structures arise. This paper introduces the Relational Emergence Model (REM), which addresses this foundational gap by modeling the generation of relational structure as an explicit physical process. The central contribution is the differentiation map 𝒟 — not a unitary operator, but a structural bipartition-selecting map that produces explicit system–observer correlations from a pre-relational Hilbert space (Layer 0). Environmental decoherence 𝓔 then acts as a CPTP map on the articulated structure, stabilizing effectively classical facts (Layer 2). This three-layer architecture (pre-relational potential → relational articulation → phenomenal stabilization) provides a mathematically structured account of how relational reality becomes determinate. REM is compared with RQM, QBism, and Many-Worlds interpretations. Unlike these approaches, REM does not presuppose that relational structures are already formed — it models the generative phase that precedes perspectival consistency. The framework also provides a natural analysis of Wigner's Friend scenarios as multi-level differentiation processes. A structural correspondence (not equivalence) with Buddhist concepts of dependent origination (pratītyasamutpāda) and emptiness (śūnyatā) is identified: Layer 0 corresponds to the absence of intrinsic nature prior to differentiation; Layer 1 corresponds to the arising of relational structure through differentiation events. --- This is Paper 1 of the 6-paper Relational Emergence Model (REM) series: - REM1 (this paper) — Foundational framework: three-layer architecture and differentiation map- REM2 — Selection principles for the differentiation map (variational formulation) https://doi.org/10.5281/zenodo.19155166- REM3 — Generative differentiation via variational selection on factorization manifold https://doi.org/10.5281/zenodo.19157709- REM4 — Competing informational and dynamical criteria for subsystem structure https://doi.org/10.5281/zenodo.19637584- REM5 — Variational selection of tensor-product structure in quantum systems https://doi.org/10.5281/zenodo.19637651- REM_lambda — Variational generation of relational structure (physical interpretation of λ) https://doi.org/10.5281/zenodo.19641344
This Summary Paper presents the core ideas of the book A Categorical Framework for Generative Ontology of Reality:Theory of Ilons — Why Modern Physics Requires a Redefinition (ASIN: B0GS1YV53C). The ATI framework introduces ilons as primitive generative units forming a discrete category. Information is treated as a derived notion, appearing only as the functorial image of the ilon substrate under the mapping G : I → Set.Reality is defined as the colimit of this diagram, providing a mathematically explicit model of emergence. This Zenodo release contains only the abstract, a short introduction, and a conceptual overview. Full content is available exclusively in the book edition. Author: Waldemar Superson
This work presents a unified generative framework for logic, computation, and physical theories, starting from a minimal recursive structure. Rather than assuming pre-existing logical axioms, computational primitives, or physical laws, the framework derives them as emergent features of a single generative process governed by stabilization and constraint propagation. Within this model, classical logic and computation arise as stabilized regimes of recursive structure, while quantum-mechanical phenomena are interpreted as pre-stabilization behavior—patterns that have not yet resolved into invariant records at the emergent spatial level. Superposition, interference, entanglement, and measurement are described structurally, without invoking parallel-world narratives or epistemic uncertainty. Measurement is treated as constraint coupling that forces refinement until a stable record forms. The framework emphasizes pattern persistence, invariance under refinement, and dynamic resolution as organizing principles. It provides a conceptual account of quantum behavior that is consistent with standard quantum mechanics while reframing it as a consequence of generative structure rather than an axiomatic starting point. This work is foundational and conceptual in nature. It does not propose new experimental predictions or modifications to established physical theory, but aims to clarify the structural relationship between computation, logic, and physics, and to offer a coherent ontological picture underlying these domains.Contact: arthur.nogman@gmail.com
Title: Envelopment over Unification: Recovering Einstein’s Dream via a Generativity-First Framework Subtitle: The Sampling Paradox of State-Based Quantum Gravity and the Return to It from Wave Abstract: This paper identifies the fundamental cause of the century-long impasse in unifying quantum mechanics (QM) and general relativity (GR) as a "Sampling Paradox." Modern physics is epistemically constrained to perceive reality as a collection of static "states"—discrete snapshots sampled from a continuous generative flow. At the Planck scale, the instability of the carrier (spacetime geometry) makes the reconstruction of the generative source from these samples logically impossible. The Envelopment Framework: Departing from traditional state-based programs, we propose a "Generativity-First" ontology called Envelopment. This framework adopts a three-layer hierarchy: Primary Layer (Wave): The continuous, non-linear phase flow of the universe ("It from Wave"). Secondary Layer (Geometry): Spacetime as a stabilized, self-organizing attractor. Tertiary Layer (State): Matter and information as discrete, resolution-dependent projections. Mathematical and Information-Theoretic Foundations: We characterize the primary generative law using a non-linear evolution equation analogous to the Complex Ginzburg-Landau Equation (CGLE). In this model, spacetime geometry emerges as a steady-state attractor, while quantum states manifest as localized interference patterns. We re-derive the Energy-Time Uncertainty Relation as a rigorous consequence of finite temporal sampling windows (delta-t). Here, "uncertainty" is not an inherent fuzziness of nature but an informational limit imposed by the "shutter speed" of observation. Key Contributions: Planckian Aliasing: Redefines quantum vacuum noise as "folded" generative rhythms. The theory predicts non-random, phase-locked structures detectable through homodyne detection in quantum optics or advanced spectral analysis of LIGO data. Envelopment of Existing Theories: Repositions prominent programs—such as AdS/CFT (as shadow-to-object projections), Loop Quantum Gravity (as descriptions of discrete sampling units), and String Theory (as organizations of state-excitations)—as high-precision descriptions of specific projected regimes. The Observer as Co-creator: Positions the observer at the interface of sampling resolution, where the choice of the observational window determines which aspect of the generative wave is rendered as a physical "state." Significance: By shifting the ontological priority from "States" (nouns) to "Generativity" (verbs), this research offers a consistent bridge between continuous flow and discrete observation. It provides a roadmap for future numerical simulations based on non-linear dynamical systems and offers testable predictions for the deterministic structure of quantum noise. Keywords: Quantum Gravity, General Relativity, It from Wave, Sampling Paradox, Envelopment Framework, Complex Ginzburg-Landau Equation, Non-linear Dynamics, Vacuum Noise Aliasing, Observer as Co-creator, Information Physics. Note on Related Research: This manuscript represents a significant generalization of the author’s preceding work on "Shutter Speed Theory" and "Informational Crystallization" (Ohumi, 2025). It expands the sampling-theoretic reinterpretation of quantum uncertainty into a comprehensive framework for quantum gravity. For details, please refer to the attached PDF. This work introduces the “Envelopment over Unification” logic (Wave → Geometry → State). It is complemented by applied works translating this framework into (i) ethics of technological civilization (Envelopment Ethics, DOI: 10.5281/zenodo.18256968) and (ii) governance critique of quantified policy targets (Civilization KPI Trap, DOI: 10.5281/zenodo.18264106). References: Shannon (1948), Einstein (1916), Wheeler (1990), Ohumi (2025).