Axiodynamics β Prolegomena v1.1: Ontological Foundations of the OBJ/Fc/Fi Structure
This paper addresses a foundational question for the axiodynamic programme: is the OBJ/πΉπ/πΉπ structure β attractor, conative force, inhibitive force β a property of organised matter in general, or a construction specific to intentional human psychology? The Prolegomena answers in three registers. Ontologically: the structure is demonstrable without biological presuppositions, as a property of any system satisfying three necessary conditions (invariant mnemonic support, systemic individuation, persistence against entropy) under a sufficient condition of selective tension jointly involving πΉπ and πΉπ. Logically: the Necessary and Sufficient Conditions (NSC) are derivable without substrate assumptions and cover biological, computational, and discursive systems within a unified formal framework. Phenomenologically: the relationship between the formal structure and subjective experience is explicitly bracketed β this paper does not make claims about consciousness or qualia; it establishes the pre-conscious ontological conditions under which the axiodynamic programmeβs empirical questions become well-formed.The central formulation is: a system π is teleonomic (ππ) if and only if {ππβ§Individuationβ§Persistence} holds under selective tension jointly involving πΉπ and πΉπ. At the structural level, conative and inhibitory components are carried by the orthogonal direct sum β±=β±πβπβ₯β±π. At the operational level, interaction between those components may be described as an Ashby-type cybernetic feedback mechanism (Ashby, 1956). The carrier, the selective-tension relation, and the operational mechanism are type-distinct. Anchored in Monodβs (Monod, 1970) teleonomy, Simondonβs individuation theory (Simondon, 1964), and Ashbyβs cybernetics (Ashby, 1956), this formulation is demonstrated across four levels of architectural stratification β from universal teleonomy to explicit telotopic organisation around telos-Ξ² in the v5.7 computational framework (Kleden, Axiodynamics: A Nine-Axiom Computational Framework for Affect-Cognition Dynamics (v5.7 rev.2), 2026) β using a single demonstrative thread: the case of a large language model traversing all four levels.A formal correction to v5.7 (p. 29) follows directly from the orthogonality established here: the subtraction formula πΉ=π΄πΉπβπ΄πΉπ is replaced by the Euclidean/Pythagorean magnitude β₯πΉtotalβ₯=β(π΄πΉπ)2+(π΄πΉπ)2, resolving a structural anomaly in which a maximum-tension case was mapped to zero resultant magnitude.This document does not extend the axiodynamic programme β it establishes the ontological conditions of possibility under which that programme is coherent.
Authors
- Alan Kleden (ORCID: https://orcid.org/0009-0008-4963-6719)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-07
- DOI
- https://doi.org/10.5281/zenodo.22546958
- Primary Topic
- Philosophical and Theoretical Analysis
- Type
- preprint