Reorganize README badges and quick links around current key assets, add stable anchors for the five propositions and scripts governance, and synchronize llms/AI citation navigation.\n\nVerified with make sync-doc-toc, make test, markdown-lint, and link-checker.
Move the complete research domain from docs/research to root-level research, update indexes and path-aware tooling, and align raw snapshot governance and CODEOWNERS.\n\nVerified with make test and GitHub CI.