dorsal/arxiv
View SchemaThe status and programs of the New Relativity Theory
| Authors | Carlos Castro |
|---|---|
| Categories | |
| ArXiv ID | physics/0011040 |
| URL | https://arxiv.org/abs/physics/0011040 |
| DOI | 10.1016/S0960-0779(01)00004-2 |
Abstract
A review of the most recent results of the New Relativity Theory is presented. These include a straightforward derivation of the Black Hole Entropy-Area relation and its $logarithmic$ corrections; the derivation of the string uncertainty relations and generalizations ; ; the relation between the four dimensional gravitational conformal anomaly and the fine structure constant; the role of Noncommutative Geometry, Negative Probabilities and Cantorian-Fractal spacetime in the Young's two-slit experiment. We then generalize the recent construction of the Quenched-Minisuperspace bosonic $p$-brane propagator in $D$ dimensions ($AACS$ [18]) to the full multidimensional case involving all $p$-branes : the construction of the Multidimensional-Particle propagator in Clifford spaces ($C$-spaces) associated with a nested family of $p$-loop histories living in a target $D$-dim background spacetime . We show how the effective $C$-space geometry is related to $extrinsic$ curvature of ordinary spacetime. The motion of rigid particles/branes is studied to explain the natural $emergence$ of classical spin. The relation among $C$-space geometry and ${\cal W}$, Finsler Geometry and (Braided) Quantum Groups is discussed. Some final remarks about the Riemannian long distance limit of $C$-space geometry are made.
{
"annotation_id": "acf27e0e-71ba-4079-a717-b0c37892123a",
"date_created": "2026-03-02T18:00:32.937000Z",
"date_modified": "2026-03-02T18:00:32.937000Z",
"file_hash": "8df32e3ba2635f1940ae4724296be7e240594fb1a10f2d99360baa35e0b57adb",
"private": false,
"record": {
"abstract": "A review of the most recent results of the New Relativity Theory is\npresented. These include a straightforward derivation of the Black Hole\nEntropy-Area relation and its $logarithmic$ corrections; the derivation of the\nstring uncertainty relations and generalizations ; ; the relation between the\nfour dimensional gravitational conformal anomaly and the fine structure\nconstant; the role of Noncommutative Geometry, Negative Probabilities and\nCantorian-Fractal spacetime in the Young\u0027s two-slit experiment. We then\ngeneralize the recent construction of the Quenched-Minisuperspace bosonic\n$p$-brane propagator in $D$ dimensions ($AACS$ [18]) to the full\nmultidimensional case involving all $p$-branes : the construction of the\nMultidimensional-Particle propagator in Clifford spaces ($C$-spaces) associated\nwith a nested family of $p$-loop histories living in a target $D$-dim\nbackground spacetime . We show how the effective $C$-space geometry is related\nto $extrinsic$ curvature of ordinary spacetime. The motion of rigid\nparticles/branes is studied to explain the natural $emergence$ of classical\nspin. The relation among $C$-space geometry and ${\\cal W}$, Finsler Geometry\nand (Braided) Quantum Groups is discussed. Some final remarks about the\nRiemannian long distance limit of $C$-space geometry are made.",
"arxiv_id": "physics/0011040",
"authors": [
"Carlos Castro"
],
"categories": [
"physics.gen-ph"
],
"doi": "10.1016/S0960-0779(01)00004-2",
"title": "The status and programs of the New Relativity Theory",
"url": "https://arxiv.org/abs/physics/0011040"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e187c3f4-a0cb-471e-8043-e57caca3b401",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}