Braneworld PNDP and Effective Gravity

By desuspending a zero-dimensional manifold, one obtains Einstein manifolds with so-called ``virtual dimensions." This leads to a remarkably rich reformulation of the point particle picture, in which partially negative-dimensional product (PNDP) strings and manifolds are placed at the fore. In this paper, I explore a simple braneworld picture in which the virtual dimensions of a PNDP spacetime can be used to recover the Newtonian picture of gravity.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-11-03
DOI
https://doi.org/10.5281/zenodo.14030495
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
0.00
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article

Braneworld PNDP and Effective Gravity

Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
article

Braneworld PNDP and Effective Gravity

article en

Abstract

By desuspending a zero-dimensional manifold, one obtains Einstein manifolds with so-called ``virtual dimensions." This leads to a remarkably rich reformulation of the point particle picture, in which partially negative-dimensional product (PNDP) strings and manifolds are placed at the fore. In this paper, I explore a simple braneworld picture in which the virtual dimensions of a PNDP spacetime can be used to recover the Newtonian picture of gravity.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 92%
Black Holes and Theoretical Physics
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Braneworld PNDP and Effective Gravity · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS