# AI provenance: Cancellation of all ultraviolet divergences of quantum gravity by a scale-invariant gas of branes

Authors: Deep Bhattacharjee and Ushashi Bhattacharya. No AI system is an author or contributor.

## How the work was produced

The authors directed the work, re-derived and checked its results, and take full responsibility for the content. Claude (Anthropic), through Claude Code, assisted with drafting and editing the text, with algebraic and numerical calculations, with the verification code and with the figure scripts. Deep Bhattacharjee ran all computations and checks in C, Python, Julia and Lean 4 with the assistance of Claude Code.

## How the results are checked

Every result is derived analytically in the text. The verification suite (195 Python, 84 C and 114 Julia checks, 17 Lean 4 theorems) and five independent audit scripts (74 checks) re-evaluate the formulas. All 88 registered references were checked against their Crossref or Zenodo records.

## What is not claimed

The theory is finite and unitary at every order of perturbation theory for n >= 4. Nothing beyond perturbation theory is claimed: the free Euclidean field is not reflection positive, the Euclidean conformal mode and strong coupling above an energy between 1.4M and 1.9M are named as open obstacles.

## Labels given on the Hexagon form

- Text of the contribution: a mix of human-written and AI-generated (to be confirmed by the authors).
- Human understanding at submission: some parts, but not all, checked and understood by a human (to be confirmed by the authors).

## Where everything is

Release v3.2.0: https://github.com/creelie/brane-cluster-gases/releases/tag/v3.2.0. The paper's Data availability and Use of AI tools sections say the same.