A topological approach for emerging D-branes and its implications for gravity
Abstract
We introduce a new geometric/topological approach to the emerging braneworld scenario in the context of D-branes using partially negative dimensional product (PNDP) manifolds. The working hypothesis is based on the fact that the orientability of PNDP manifolds can be arbitrary, and starting from this, we propose that gravitational interaction can derive naturally from the non-orientability. According to this hypothesis, we show that topological defects can emerge from non-orientability and they can be identified as gravitational interaction at macroscopic level. In other words, the orientability of fundamental PNDPs can be related to the appearance of curvature at low energy scales.
Keywords
Cite
@article{arxiv.2108.07727,
title = {A topological approach for emerging D-branes and its implications for gravity},
author = {Richard Pincak and Alexander Pigazzini and Saeid Jafari and Cenap Özel and Andrew DeBenedictis},
journal= {arXiv preprint arXiv:2108.07727},
year = {2021}
}
Comments
11 pages. Version 2 has minor changes to match version accepted for publication in Int. J. Geom. Methods Mod. Phys