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MerlinH
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The gluon-to-graviton-paper.pdf is a 110-page transcript of the ChatGPT 5.2 Pro session that produced the graviton preprint. Extracted: launch prompt, gravity generalization task, and all steering messages. Supersedes the graviton rejection.
873 B
873 B
The task is to generalize this paper to the gravity case. There are two key changes but the manipulations are the same First we change the ordered BG recursion, eq B2, into the UNORDERED BG recursion for gravity \begin{equation}%{68.6} \mathcal{F}_{{i}}=1,\qquad \mathcal{F}S=\frac{1}{P_S^2+i0}\sum{\substack{A\sqcup B=S\A,B\neq\emptyset}}[A,B]^2,\mathcal{F}_A,\mathcal{F}_B,. \end{equation} note extra power of [A,B] too. The other change is the consistency checks 1-5 (eqs 24-28):
- color proerties 1-4 are changed to FULL PERMUTATION INVARIANCE S_n
- Weinberg's soft is changed to leading and subleading Weinberg's. If you want just focus on leading for now. \begin{equation}M_{1\cdots n}=\sum_{i=2}^n|[1i]|,M_{2\cdots n}\end{equation} we call it M instead of A of course. M is fully permutation invariant. Good luck! You are a brilliant theoretical physicist.