{
  "annotation_id": "e68c4f37-d08a-46d1-a41f-f9eb7b4bcee9",
  "date_created": "2026-03-02T18:01:03.335000Z",
  "date_modified": "2026-03-02T18:01:03.335000Z",
  "file_hash": "4bae31e78cfebb894a2314ea5b8487081cc85ae7bc1c5aa25eace39712aaeddb",
  "private": false,
  "record": {
    "abstract": "Special relativity theory is well established and confirmed by experiments.\nThis research establishes an operational measurement way to express the great\ntheory in a geometrical form. This may be valuable for understanding the\nunderlying concepts of relativity theory. In four-dimensional spacetime\ncontinuum, the displacement field of matter motion is measurable quantities.\nBased on these measurements, a finite geometrical field can be established. On\nthis sense, the matter motion in physics is viewed as the deformation of\nspacetime continuum. Suppose the spacetime continuum is isotropic, based on the\nleast action principle, the general motion equations can be established. In\nthis part, Newton motion and special relativity are discussed. Based on the\nfinite geometrical field theory of matter motion, the Newton motion equation\nand the special relativity can be derived simply based on the isotropy of\nspacetime continuum and the definition of inertial system. This research shows\nthat the Lorentz transformation is required by both of the inertial system\ndefinition and the time gauge invariance for inertial systems. Hence, the\nspecial relativity is the logic conclusion of time invariance in inertial\nsystem. The source independent of light velocity supports the isotropy of\ninertial system rather than the concept of proper time, which not only causes\nmany paradox, such as the twin-paradox, but also causes many misunderstanding\nand controversial arguments. The singularity of Lorentz transformation is\nremoved in other parts of finite geometrical field theory, where the gravity\nfield, electromagnetic field, and quantum field will be discussed with the time\ndisplacement field.",
    "arxiv_id": "physics/0512110",
    "authors": [
      "Xiao Jianhua"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "title": "Inertial System and Special Relativity Finite Geometrical Field Theory   of Matter Motion Part One",
    "url": "https://arxiv.org/abs/physics/0512110"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a2174248-1d25-4c16-baec-85a0636709ff",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}