Morphological Saturation in Positional Bases: Finiteness of Exceptions, Early Completion, and the Mixed-Form Bottleneck
Authors/Creators
Description
Building on the six-form classification of C1 Paper ("Morphological Completeness of Positional Bases: Classification, Minimum Threshold, and the Structural Obstruction of Historical Number Systems") , we resolve three open problems: the anomalous incomplete bases are exactly four (b ∈ {9, 10, 21, 25}), the intrinsic saturation threshold is always strictly less than b for every complete base (ratio N*(b)/b tends to zero), and the structural bottleneck is always a mixed form (F5 in 82.1% of cases). These results transform the completeness criterion from a static classification into a dynamic picture where the morphological vocabulary fills rapidly, saturates early, and is constrained by a single structural bottleneck. Part of the sub-limit dynamics research series.
Files
C2_morphological_saturation_v1.pdf
Files
(240.7 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:dc50805d39a8133bf3746eb06fae7cd9
|
240.7 kB | Preview Download |
Additional details
Related works
- Continues
- Preprint: 10.5281/zenodo.18552397 (DOI)
Dates
- Created
-
2026-02-23
References
- 10.5281/zenodo.18552397