dorsal/arxiv
View SchemaInertial System and Special Relativity Finite Geometrical Field Theory of Matter Motion Part One
| Authors | Xiao Jianhua |
|---|---|
| Categories | |
| ArXiv ID | physics/0512110 |
| URL | https://arxiv.org/abs/physics/0512110 |
Abstract
Special relativity theory is well established and confirmed by experiments. This research establishes an operational measurement way to express the great theory in a geometrical form. This may be valuable for understanding the underlying concepts of relativity theory. In four-dimensional spacetime continuum, the displacement field of matter motion is measurable quantities. Based on these measurements, a finite geometrical field can be established. On this sense, the matter motion in physics is viewed as the deformation of spacetime continuum. Suppose the spacetime continuum is isotropic, based on the least action principle, the general motion equations can be established. In this part, Newton motion and special relativity are discussed. Based on the finite geometrical field theory of matter motion, the Newton motion equation and the special relativity can be derived simply based on the isotropy of spacetime continuum and the definition of inertial system. This research shows that the Lorentz transformation is required by both of the inertial system definition and the time gauge invariance for inertial systems. Hence, the special relativity is the logic conclusion of time invariance in inertial system. The source independent of light velocity supports the isotropy of inertial system rather than the concept of proper time, which not only causes many paradox, such as the twin-paradox, but also causes many misunderstanding and controversial arguments. The singularity of Lorentz transformation is removed in other parts of finite geometrical field theory, where the gravity field, electromagnetic field, and quantum field will be discussed with the time displacement field.
{
"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
}