dorsal/arxiv
View SchemaReciprocal Symmetric and Origin of Quantum Statistics
| Authors | Mushfiq Ahmad |
|---|---|
| Categories | |
| ArXiv ID | physics/0703194 |
| URL | https://arxiv.org/abs/physics/0703194 |
Abstract
Boltzmann's differential equation is replaced by the corresponding reciprocal symmetric finite difference equation. Finite difference translates discreteness of energy. Boltzmann's function, then, splits into two reciprocally related functions. One of them gives Planck's radiation relation and the other one gives the corresponding Fermi-Dirac relation.
{
"annotation_id": "fdc8978c-87b4-40f8-aa4c-cbdeccf080e3",
"date_created": "2026-03-02T18:01:18.019000Z",
"date_modified": "2026-03-02T18:01:18.019000Z",
"file_hash": "28f0abfd2ca6d6f2f0986c77c17178eb23576ad2cde5996d087c457e68dfe0d5",
"private": false,
"record": {
"abstract": "Boltzmann\u0027s differential equation is replaced by the corresponding reciprocal\nsymmetric finite difference equation. Finite difference translates discreteness\nof energy. Boltzmann\u0027s function, then, splits into two reciprocally related\nfunctions. One of them gives Planck\u0027s radiation relation and the other one\ngives the corresponding Fermi-Dirac relation.",
"arxiv_id": "physics/0703194",
"authors": [
"Mushfiq Ahmad"
],
"categories": [
"physics.gen-ph"
],
"title": "Reciprocal Symmetric and Origin of Quantum Statistics",
"url": "https://arxiv.org/abs/physics/0703194"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7ba5fc4e-c97e-48eb-923f-5406afbf0cc8",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}