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CJM Problem Sketch No. 016

The Halting Problem as a Structural Termination-Admissibility Problem

Conceptual approach only. No proof or solution is claimed.
Keunsoo Yoon
Independent Research Group (Seoul, Republic of Korea)
austiny@gatech.edu, austiny@snu.ac.kr
Nov 15, 2026

Open Question.
Does a problem ฮฆ admit a solution if and only if it is structurally admissible under atemporal resonance?

This sketch is different in kind: rather than asking whether CJM can judge a problem, it asks whether the CJM judgment itself can survive a proven boundary of computability.

(Forthcoming)

This sketch does not claim that CJM bypasses Turing undecidability. The undecidability of the halting problem is instead one of the strongest constraints that the CJM hypothesis must confront. Finite SAT/3SAT encodings can represent only bounded execution traces; they do not convert the general halting problem into a finite decidable instance. If a physical CJM were nevertheless claimed to determine the halting status of arbitrary programs, such a claim would extend beyond P versus NP and beyond ordinary Turing computability. It would therefore require an explicit physical and mathematical account of why the CJM process is not itself subject to the computational assumptions underlying the diagonal argument. No such account is established in this sketch.