# Mean-field diagnostics for Geometric Transformers

- **Registry ID:** `catagi-gt-meanfield`
- **Book:** Categories for AGI
- **Documentation status:** `archived-artifact-only`
- **Experimental status:** archived single-seed pilot
- **Canonical documentation URL:** https://categorical-ai.sridharmahadevan.com/experiments/catagi-gt-meanfield

## Purpose

Local commutator-energy, normalization, transport, and task diagnostics for a data-limited prefix-to-suffix pilot.

## Book location

- Chapter 13: Mean-Field Theory of Geometric Transformers

## Documented studies

- Residual commutator diagnostic
- Pre-LN and GT prefix-to-suffix pilot
- Topological and Dirichlet diagnostic comparison

## Associated code packages

- `categories-gt-archive` — Geometric and Kan Extension Transformer archive; **local-not-public**; license decision pending. Working scripts and result directories for DB, GT, KET, language modeling, manifold, mean-field, and scaling studies. A curated public packet remains to be extracted.

## Start here

These concrete files are selected from the complete resolved source surface. They orient the reader; they are not a claim that every family is independently reproducible.

- **runner · staged-not-public** — `categories-gt-archive:scripts/seq2seq_scaling_preln_transformer.py`. Locate this file in the curated companion packet; no public download is currently offered.
- **runner · staged-not-public** — `categories-gt-archive:scripts/seq2seq_scaling_GTFull.py`. Locate this file in the curated companion packet; no public download is currently offered.
- **runner · staged-not-public** — `categories-gt-archive:scripts/seq2seq_wiki103_scaling-GT-Lite.py`. Locate this file in the curated companion packet; no public download is currently offered.
- **runner · staged-not-public** — `categories-gt-archive:scripts/seq2seq_wiki103_scaling-GT-Full.py`. Locate this file in the curated companion packet; no public download is currently offered.

## Entry points

- `scripts/seq2seq_scaling_preln_transformer.py`
- `scripts/seq2seq_scaling_GTFull.py`
- `scripts/seq2seq_wiki103_scaling-GT-Lite.py`
- `scripts/seq2seq_wiki103_scaling-GT-Full.py`
- `scripts/seq2seq_wiki103_scaling-GT-MoE.py`

## Result artifacts

- `archived manuscript plots and final-value table; raw run logs unavailable`

## Resolved code surfaces (8)

- **dependency** — `categories-gt-archive:scripts/datasets_linked_wt2.py`
- **dependency** — `categories-gt-archive:scripts/datasets_ptb_wt.py`
- **runner** — `categories-gt-archive:scripts/seq2seq_scaling_GTFull.py`
- **runner** — `categories-gt-archive:scripts/seq2seq_scaling_preln_transformer.py`
- **runner** — `categories-gt-archive:scripts/seq2seq_wiki103_scaling-GT-Full.py`
- **runner** — `categories-gt-archive:scripts/seq2seq_wiki103_scaling-GT-Lite.py`
- **runner** — `categories-gt-archive:scripts/seq2seq_wiki103_scaling-GT-MoE.py`
- **dependency** — `categories-gt-archive:scripts/topo_probe.py`

## Frozen run records (0)

- No frozen run-level record is registered. Consult the result-artifact list and evidence boundary above for the exact surviving evidence; absence of a run record is not evidence that no experiment was run.

## Evidence boundary

The surviving plots and summary values do not include a complete executable snapshot or raw per-example outputs; the chapter treats them as archived pilot evidence only.

A code or artifact link establishes traceability. It does not by itself establish independent reproduction, statistical adequacy, correctness, or support for a claim beyond this boundary.