The Pacific Institute for the Mathematical Sciences, The University of British Columbia, Earth Sciences Building, 2207 Main Mall, Vancouver, BC V6T 1Z4, Canada

Department of Physics, Simon Fraser University, V5A 1S6 Burnaby B.C., Canada

E-mail Address: adebened@sfu.ca

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https://doi.org/10.1142/S0219887821502273Cited by:3 (Source: Crossref)

Abstract

In this paper, 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:

AMSC: 83E30, 53C25

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