A topological approach for emerging D-branes and its implications for gravity

TL;DR

This paper proposes a topological framework using PNDP manifolds to explain the emergence of gravity and topological defects as a consequence of non-orientability in D-brane scenarios.

Contribution

It introduces a novel geometric approach linking non-orientability of PNDP manifolds to gravity and defect formation in braneworld models.

Findings

Topological defects can emerge from non-orientability.

Non-orientability of PNDPs relates to curvature at low energies.

Gravity may originate from topological properties of D-branes.

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.