Fundamental Unknowability of CJK

Ascertain whether CJK, defined as the total number of fundamental constants required for a complete and self-consistent mathematical description of physical reality, is fundamentally unknowable.

Background

To address the potential circularity in identifying CJK by counting a presumed complete set of constants, the author discusses a Gödel-inspired approach introducing a hierarchy of meta-parameters (meta-CJK). This leads to a regress that suggests there may be a deeper issue concerning the knowability of CJK itself.

The author explicitly flags the question of whether CJK is fundamentally unknowable as a topic not resolved in the paper and left for future investigation.

References

Though it leaves our paper somewhat `incomplete', the question of the fundamental unknowability of CJK is left for future study .

— A Lower Bound on the Number of Fundamental Constants  (2603.29300 - Matthewson, 31 Mar 2026) in Section 2, The Least Fundamental