Framework stages
01
Irreducible directions
Factorization becomes a coordinate system.
02
Logarithmic height
\(\lambda_p=\log p\)
03
Quotient geometry
\(w=\log(n/m)\)
04
Native / observed ledger
Two ledgers on a common support.
05
Discrepancy
Retained obstruction class.
06
Transport
Aligned and nonaligned propagation.
07
Terminal readout
Contradiction or positivity.
\[n=\prod_p p^{v_p(n)},\qquad L(n)=\sum_p v_p(n)\log p,\qquad w=\log(n/m).\]
Foundational role in the corpus
The foundational model supplies the abstract multiplicative-geometric critical stage. It is the starting point for the later prime specialization, arithmetic fibres and branch-specific terminal mechanisms.
Cite this work
@misc{gotanegra2026foundational,
author = {Jaume Gotanegra},
title = {Internal critical-line alignment in multiplicative geometric models},
year = {2026},
month = {Mar},
doi = {10.5281/zenodo.19000684},
url = {https://doi.org/10.5281/zenodo.19000684},
note = {Preprint}
}
Research status.
The results presented on this site are claims contained in research manuscripts and preprints. References to “theorem”, “result”, or “proof” describe their status within the corresponding manuscript. They do not imply journal publication, peer-review acceptance, or independent validation unless explicitly stated.