Kinodynamicae: A Standard Model of the Actuator Potential and Geometric Constraints of Agentic Systems

Classification: The Kinodynamicae Standard Model (KSMAS-2026-v.5.1) Institutional Affiliation: The Collective Institute of Interdisciplinary Innovation, Research Division Subject Areas: Information Geometry; Non-equilibrium Thermodynamics; Haptic Theory Abstract We formalize the Kinodynamic Potential (K) as a universal metric for quantifying the capacity of agentic systems to exert control over their environments. We propose the Kinodynamicae Constraint: a physical principle asserting that cognitive complexity becomes a terminal metabolic liability unless the interface between a system’s intent and its physical workspace meets a critical efficiency threshold. By evaluating this coupling across a 7-Dimensional Intent Manifold (M⁷), we identify the Haptic Bottleneck—a geometric limitation where an agent’s physical architecture cannot resolve its informational complexity via the Projective Jacobian (J_Π). We demonstrate that this multidimensional interaction functionally compresses into a two-dimensional phase-space of energy supply versus actuator dexterity. Within this space, we establish the Kinodynamic Separatrix (σ) at a value of 1.25 as the fundamental bifurcation point for technological sovereignty. Below this 25% surplus of physical agency, systems remain confined to environmental stasis; above it, they transition into a sovereign regime capable of recursive tool-integration. This framework identifies “Actuator Scarcity” and Mitonuclear Discordance as deterministic constraints on the emergence of technological civilizations and provides a rigorous benchmark for the trajectory of synthetic intelligence. Lead Investigator: Ronav Kalia Pathak (ORCID: 0009-0003-1297-7345) Location: Research Division; Charlotte, North Carolina, US Correspondence: pathakronav [at] gmail.com Release Date: April 11, 2026 DECLARATIONS Intellectual Property & Record of Discovery This monograph (KSMAS-2026-v.5.1) constitutes the formal unification of the Cognition Amplification Principle (CAP) and the Kinodynamicae Constraint. The author asserts priority regarding the identification of the Kinodynamic Separatrix (σ = 1.25) and the Topological Haptic Bottleneck (rank(J_Π) < 2) as fundamental invariants in agentic systems. All theoretical frameworks and original nomenclature are the property of The Collective Institute of Interdisciplinary Innovation. Copyright and Licensing Copyright © 2026 by the authors. All rights reserved. Distributed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).