Multidimensional Telotopic Space: A Computational Ontological Standard for Cognitive Science and AI

Existing axiodynamic formulations model affect-cognition dynamics as directional coherence relative to a single operative telos, adequate for individual decision-making but insufficient for interaction, where several concurrent teloi couple and evolve in time. This paper extends the framework to dyadic and multi-agent dynamics while preserving the nine-axiom hard core. Five contributions are developed. The telotopic space is generalized from one angular dimension to concurrent dimensions, with the active telos defined as the principal eigenvector of a weighted scatter operator under an explicit spectral-resolution condition. A symmetric positive semi-definite coherence tensor encodes the coupling structure of concurrent teloi, and a conditional theorem establishes the spectral signatures of regime transition. The temporal and inter-agent dynamics - arbitration operator, intertemporal affective accumulator, sparse attentional architecture - are formalized, with the canonical dyadic case integrating a vectorial axiological distance. A four-level admissibility hierarchy (CAT) delimits the formalism's scope and articulates with the necessary and sufficient condition for teleonomic classification. Finally, a family of falsifiable tensorial predictions is derived, distinct from existing mémotion-level and architecture-level predictions. The framework is offered as a computational ontological standard for affect-cognition dynamics across biological and artificial substrates, with its open problems stated as well-formed empirical questions.