The Existence Conjecture of an Exact Universal Predictor: Causal Determinism, Global Evolution Maps, and Complete Information Structures
- 1Providence University
Abstract
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Status: Preprint; not peer-reviewed.
Related
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- THE QUALIFIED DETERMINISM PRINCIPLE: A Framework for Information-Conditioned Causality Across Scales
- On deformations of foliated complex analytic structures I: Theorems of existence and completeness
- Stationary Random Iterations of Lipschitz Maps: A Generalized Displacement Condition for the Existence of Invariant Structures
- Existence of an infinite family of substrates satisfying all the postulates of integrated information theory, exclusion included, with arbitrarily large integrated information
BibTeX
@misc{yu2026existence,
title = {{The Existence Conjecture of an Exact Universal Predictor: Causal Determinism, Global Evolution Maps, and Complete Information Structures}},
author = {Chia-Hsiang Yu},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23641530},
url = {https://zenodo.org/records/23641530},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The Existence Conjecture of an Exact Universal Predictor: Causal Determinism, Global Evolution Maps, and Complete Information Structures
AU - Chia-Hsiang Yu
PY - 2026
DA - 2026/10/25
PB - Zenodo
DO - 10.5281/zenodo.23641530
UR - https://zenodo.org/records/23641530
AB - 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.
ER -