Quantized Geometry, Cosmology and Dark Matter

该奖项资助贝鲁特美国大学Ali Chamseddine教授的研究活动。理论基本粒子物理学家的研究是为了更好地理解自然的组成部分及其基本相互作用。这是通过搜索和构建替代模型来实现的，这些模型超出了目前已知的范围，可以通过实验进行测试或满足严格的数学约束。这通常需要发明新的理论方法，在某些情况下还需要发明新的数学。 Chamseddine教授将致力于开发新的几何学，描述时空的可能隐藏结构，并帮助解释为什么自然界的行为与观察到的一样。 该研究项目的另一个目标是开发爱因斯坦广义相对论的修改模型，解释暗物质，并消除现有宇宙学模型和黑洞理论的某些问题特征。 这一领域的研究通过促进科学在最具挑战性的方向之一的进步来促进国家利益：找到支配物理宇宙及其组成部分的定律。 预计该项目还将产生更广泛的重大影响，包括培养该领域最前沿的研究生，从而帮助在中东地区营造一个促进研究和美国教育体系的充满活力的环境。 几何量子可以作为构建四维流形及其非对易扩张的基石。此外，Chamseddine教授在模拟引力方面的研究成果将被用于解决宇宙学中的一些突出问题，例如建立弹跳宇宙的模型。该奖项反映了NSF的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。

This award funds the research activities of Professor Ali Chamseddine at the American University of Beirut. The research of theoretical elementary-particle physicists is directed towards finding a better understanding of the building blocks of nature and their fundamental interactions. This is done by searching and building alternative models that go beyond what is presently known and which could be tested by experiments or satisfy stringent mathematical constraints. This often requires the invention of new theoretical methods, and in some instances new mathematics. Professor Chamseddine will work on developing new geometry that describes the a possible hidden structure of space-time and helps to explain why nature behaves as observed. Another goal of this research project is the development of a modified model of Einstein's General Relativity which explains dark matter and also removes certain problematic features of existing cosmological models and theories of black holes. Research in this area advances the national interest by promoting the progress of science in one of the most challenging directions: finding the laws that govern the physical universe and its constituents. This project is also envisioned to have significant broader impacts, including the training of graduate students at the cutting edge of this field, thereby helping to foster a vibrant environment for the promotion of research, and of the American educational system, in the Middle East.At the technical level, the research of Professor Chamseddine is aimed at developing noncommutive geometric models at the quantum level. Quanta of geometry could be used as building blocks to construct four-dimensional manifolds and their noncommutative extension. In addition, the work of Professor Chamseddine on mimetic gravity will be applied to solve some outstanding problems in cosmology, such as building models of a bouncing universe.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.