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March 28, 20260 citationsOpen Access

Generative Ontology and Closure Dynamics: A Minimal Operative Realization of the Ontological and Generative Layers

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KLKaisheng LiLLLongji Li

Key Points

  • The aim is to explore whether a pre-physical framework can be determined without predefined objects or time flow.
  • Develops a discrete event ontology with rhythm, phase, and direction.
  • Introduces weighted relational coupling and discrete phase update for closure dynamics.
  • Defines closure as a finite-step condition rather than general completeness.
  • Establishes freezing as a vital organizational state.
  • Presents a minimal operational model using a four-event configuration.
  • Identifies a selective ontological-generative core with intrinsic event characteristics.
  • Defines various failure types unique to the generative architecture.
  • Demonstrates the framework's logic through a modest numerical execution.
  • Clarifies what GOCD does not claim, such as full objecthood or spacetime.

Abstract

This paper develops a concrete operative realization of Generative Ontology and Closure Dynamics (GOCD) at the ontological and generative layers. Its task is deliberately restricted. Rather than deriving a complete downstream physics, full readout, or constituted spacetime, it asks whether a pre-physical generative framework can be made internally determinate without presupposing already individuated objects, external temporal flow, or observational legibility. At the ontological layer, the paper specifies a discrete event ontology in which each event bears the intrinsic triad of rhythm, phase, and direction. At the generative layer, it introduces weighted relational coupling as the sole primitive carrier of generative connection and discrete phase update as the engine of closure dynamics. On that basis, closure is defined as a finite-step settlement condition rather than as generic completion, gradual coordination, or asymptotic approximation. The paper further argues that closure alone does not yet yield structure. A second threshold is required: freezing. Freezing is defined as the threshold-gated retention of closed organization under bounded residual phase drift and sufficient retained coupling support, together with dynamic insulation of the frozen unit from re-entry into the same level of generative updating. This makes it possible to distinguish ontological admission, live coupling, closure, retained structural facthood, unresolvedness, and failure without collapsing generation into readout. A central contribution of the paper is its explicit failure architecture. GOCD distinguishes unresolvedness, closure failure, freezing failure, and loss of generative standing at candidate level, while remaining vulnerable at framework level to failure of irreversibility, failure of background independence, and failure of scalable composition. The paper also presents a minimal operative realization in which a sparse four-event configuration is sufficient to display the framework’s internal logic of weighted coupling, discrete phase update, closure, freezing, and typed failure, together with a modest numerical demonstration of executability and bounded internal selectivity. The paper concludes that GOCD possesses a non-empty and selective ontological-generative core: events with intrinsic triadic articulation, weighted relational coupling, discrete phase dynamics, closure as finite-step settlement, freezing as retained structural facthood, and failure as an internal architectural requirement. What it does not claim is equally important: it does not derive full objecthood, full spacetime, or full empirical readout. Those remain downstream burdens.

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Cite This Study

Li et al. (2026) studied this question.

synapsesocial.com/papers/69c772818bbfbc51511e3184https://doi.org/10.5281/zenodo.19242290
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