The Existence Conjecture of an Exact Universal Predictor: Causal Determinism, Global Evolution Maps, and Complete Information Structures

This paper examines the conceptual and formal relationship between causal determinism and exact universal prediction. It introduces a global state-transition framework in which the complete physical state of the universe and its governing laws determine the set of admissible future states. Within this framework, deterministic evolution is equivalent to the existence of a single-valued mapping that exactly represents all admissible state transitions. Building on this formal relationship, the paper presents an existence conjecture concerning the actual universe and the possibility of complete predictive representation. The proposed predictor is not restricted in advance to a conventional computational device; its abstract informational structure is distinguished from algorithmic computability and physical implementation. The discussion also addresses self-inclusion, complete causal information, and the limits of physical inference. The concept of Chang Dao is introduced as a philosophical designation for the totality of physical states, laws, interactions, and causal relations required for complete prediction, rather than as an independently established physical law. The existence conjecture remains unproven. This manuscript is a theoretical proposal intended to clarify the relevant definitions, identify open problems, and provide a basis for further mathematical and philosophical investigation. Status: Preprint; not peer-reviewed.