Anticipation Series — Paper I: Physical Foundations of Anticipation: From Structural Persistence to Counterfactual Simulation

Paper I of the Anticipation Series within the Radial Coherential Dynamics (RCD) research program. ABSTRACT: We present a physical framework for anticipation based on the concept of counterfactual simulation. A system anticipates when it can simulate possible futures at lower thermodynamic cost than experiencing them directly. We introduce the Anticipation Leverage LA = Sₐvoided / Sₛim as a global efficiency metric measuring the thermodynamic advantage of prediction over reaction. The framework establishes a hierarchy of cognitive modes—N1 (reactive), N2 (persistent), N3 (anticipatory) —distinguished by their use of memory for future-oriented computation. We show that LA > 1 is the necessary condition for anticipation to be evolutionarily advantageous. Landauer's principle provides the thermodynamic floor for simulation costs. No field-theoretic Lagrangian is assumed; the treatment remains at the level of thermodynamic accounting and information-theoretic definitions. Explicit falsification conditions are provided. KEYWORDS: Anticipation, Thermodynamics, Landauer principle, Information theory, Counterfactual simulation, Cognitive hierarchy, Non-equilibrium systems This paper was developed using a collaborative human-AI panel methodology, with technical review provided by Claude (Anthropic), ChatGPT (OpenAI), Gemini (Google DeepMind), Grok (xAI), and Perplexity. Part of a trilogy: - Paper I: Physical Foundations (this paper) - Paper II: Thermodynamic Dynamics- Paper III: Collective Coherence