{
  "annotation_id": "c46fd664-f57c-4699-a384-fddde77c82f4",
  "date_created": "2026-03-02T18:01:58.978000Z",
  "date_modified": "2026-03-02T18:01:58.978000Z",
  "file_hash": "e5cb17dafc8bfb2fe6e66feead61c23605e22f7943940fc8540489c54a4a7d4d",
  "private": false,
  "record": {
    "abstract": "The development of Noncommutative Geometry is creating a reworking and new\npossibilities in physics. This paper identifies some of the commutation and\nderivation structures that arise in particle and field interactions and\nfundamental symmetries. The requirements of coexisting structures, and their\nconsistency, produce a mathematical framework that underlies a fundamental\nphysics theory. Among other developments in Quantum theory of particles and\nfields are the symmetries of gauge fields and the Fermi-Bose symmetry of\nparticles. These involve a gauge covariant derivation and the action\nfunctionals; and commutation algebras and Bogoliubov transforms. The non\ncommutative Theta form introduces an additional and fundamental structure. This\npaper obtains the interrelations of various structures, and the conditions for\nthe symmetries of Fermionic/Bosonic particles interacting with Yang Mills gauge\nfields. Many example physical systems are being solved, and the mathematical\nformalism is being created to understand the fundamental basis of physics.",
    "arxiv_id": "quant-ph/0305150",
    "authors": [
      "Ajay Patwardhan"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "title": "Particle and Field Symmetries and Noncommutative Geometry",
    "url": "https://arxiv.org/abs/quant-ph/0305150"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fc0b0dae-1fb5-4387-a349-3e4622530d3e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}