What question did this study set out to answer?

The aim is to establish a minimal formal ontology for the Self-Preserving Flow framework.

May 29, 2026Open Access

Primitive Mathematical Objects of Self-Preserving Flow (SPF)

Key Points

The aim is to establish a minimal formal ontology for the Self-Preserving Flow framework.
Defined primitive mathematical objects for SPF framework
Transitioned intuitive behaviors to formal geometric and topological constraints
Provided a canonical reference for stability in adaptive systems
The specification serves as a foundational reference for SPF meta-formalism
Enhanced stability analysis over long time horizons in adaptive systems

Abstract

This document establishes the primitive mathematical objects underlying the Self-Preserving Flow (SPF) framework. Its purpose is to provide the minimal formal ontology required for subsequent theorem construction, implementation protocols, stability proofs, and semantic continuity analysis within SPF. These primitives define the formal semantic substrate upon which the full SPF meta-formalism is constructed. By transitioning from intuitive behavioral consistency to explicit geometric and topological constraints, this specification serves as the canonical mathematical reference for long-horizon stability in recursively adaptive intelligent systems.

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Cite This Study

Ali Mofradi (Wed,) studied this question.

synapsesocial.com/papers/6a192e68fab5b468c4417849 https://doi.org/https://doi.org/10.5281/zenodo.20405626

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