{
  "annotation_id": "63ecdf4e-3876-4648-964b-820f448e39b0",
  "date_created": "2026-02-17T05:53:24.170000Z",
  "date_modified": "2026-02-17T05:53:24.170000Z",
  "file_hash": "6c6fcdbcd5041b92fa27219caa1fe81ab7f91a9bef44ec5e77ef6ad6ab9da2ec",
  "private": false,
  "record": {
    "abstract": "I argue that the Hodge structure on a Euclidean Clifford algebra $Cl(n)$ provides a way to generalise K\\\"ahler structure to higher dimensions, in the sense that the paired variables are now associated with $k-$ and $(n-k)-$ dimensional subspaces rather than with vectors. This puts a phase space structure on Clifford algebras, and so allows us to construct a Hamiltonian dynamics on these multilinear variables. This construction shows that alternating pairs of subspaces obey commuting and anticommuting dynamics, hinting that this construction is indeed a natural one, with interesting new behaviour.",
    "arxiv_id": "2601.10381",
    "authors": [
      "C. Robson"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Phase Space structure on Clifford Algebras",
    "url": "https://arxiv.org/abs/2601.10381",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "918d0812-c8ce-49d6-988b-bbf283bcda36",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}