{
  "annotation_id": "f87ade66-67ad-43ea-95c4-08daee59f2df",
  "date_created": "2026-03-02T18:01:07.218000Z",
  "date_modified": "2026-03-02T18:01:07.218000Z",
  "file_hash": "c31c1221c2aee827a7ed9846fe3194f96887b83a64c6b57cb169d32f7d0b4a8b",
  "private": false,
  "record": {
    "abstract": "We have derived generalized ideal gas equations for a structureful universe\nconsisting of all forms of matters. We have assumed a universe that contains\nsuperclusters. Superclusters are then made of clusters. Each cluster can be\nfurther divided into smaller ones and so on. We have derived an expression for\nthe entropy of such a universe. Our model is rather independent of the geometry\nof the intermediate clusters. Our calculations are valid for a non-interacting\nuniverse within non-relativistic limits. We suggest that structure formation\ncan reduce the expansion rate of the universe.",
    "arxiv_id": "physics/0605172",
    "authors": [
      "Shahid N. Afridi",
      "Khalid Khan"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "doi": "10.3390/e8030175",
    "journal_ref": "Entropy, 8, (2006), 175-181",
    "title": "Generalized Ideal Gas Equations for Structureful Universe",
    "url": "https://arxiv.org/abs/physics/0605172"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "11a6bb0c-581a-48f1-975d-d0408982c621",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}