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.

中文翻译：

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新兴 D 膜的拓扑方法及其对重力的影响

在本文中，我们使用部分负维积 (PNDP) 流形在 D 膜的背景下为新兴的膜世界场景引入了一种新的几何/拓扑方法。工作假设基于 PNDP 流形的可定向性可以是任意的这一事实，并由此开始，我们提出引力相互作用可以自然地从不可定向性中推导出来。根据这一假设，我们表明拓扑缺陷可以从不可定向性中出现，它们可以被识别为宏观水平的引力相互作用。换句话说，基本 PNDP 的可定向性可能与低能尺度下曲率的出现有关。