Paper
The Trinity-Infinity Framework, Series II
Extended Formalization and Further Illustrative Applications
ORCID0009-0000-1406-0547
VersionRevised edition — August 2026
Shows that uniqueness of the fixed point survives when the mixing rate varies coordinate by coordinate, and adds a characterization of the equilibrium payoff set and a fully worked spring-network example.
Where it lives
The same text exists in several places. Cite the Zenodo DOI.
Zenodo 10.5281/zenodo.22058777Canonical. It carries the DOI and fixes the version
PDF on GitHubThe distributed file itself — a copy, not the canonical record
SSRN 10.2139/ssrn.7446961Same text
HAL hal-05759064Same text
The record
Defects found, and what could not be fixed. Nothing has been deleted.
ErrataDefects found, and what could not be fixed. Nothing has been deleted.
Route of the rediscoveryNine stages from the initial idea to identifying it as a rediscovery of standard results
Verification scriptsChecks the theorems, and every number printed on the page, by machine
Correction register（TI-…）Every error found after publication, recorded one by one
External evaluationsEvaluations received, and how they were checked
Use of language models
What language models were used for. A language model is not an author.
Its bibliography cites the revised Series I under the DOI of the superseded first edition (errata E1). The printed contraction rate maxᵢ aᵢ is an upper bound, not the asymptotic rate (N9).
This repository's disclosure of language-model useWhat language models were used for. A language model is not an author.
Not peer-reviewedA DOI does not imply peer review
Citation
Cite in a form that makes the version clear.
Nemoto, T. (2026). The Trinity-Infinity Framework, Series II: Extended Formalization and Further Illustrative Applications. Zenodo. https://doi.org/10.5281/zenodo.22058777Cite in a form that makes the version clear.