Eclectic Particle Theory

我们将研究关于超AD弦理论和非AD交换几何的对称性的一大类重要问题。超弦理论是一个很有前途的模型，被提出来统一自然界中的所有力。 该模型具有显着的对称性，称为对偶性，并提出了一个令人兴奋的新的理解的空间结构方面的新发现的非= AD交换几何。非对易几何是一种对一个坐标（比如x）的测量在另一个看似独立的坐标（比如y）中引入不确定性的几何。 这与量子物理学中的通常情况类似，但又截然不同，在量子物理学中，对粒子位置的测量会引入粒子速度的不确定性。 显然，量子引力需要使用非对易几何才能完全理解。 在这个框架中适当地包括时间演化是非常重要的。 我们的研究将做到这一点。

A large class of important problems concerning the symmetries of super=AD string theories and non=ADcommutative geometry will be studied. Superstring theory is a promising model proposed to unify all the forces in Nature. The model possesses remarkable symmetries, called dualities, and suggests an exciting new understanding of the structure of space in terms of newly discovered non=ADcommutative geometries. A non-commutative geometry is one for which a measurement of one coordinate (say x) introduces an uncertainty in another seemingly independent coordinate (say y). This is similar to but quite distinct from the usual situation in quantum physics for which measurement of a particle's location introduces an uncertainty in the particle's speed. Evidently, quantum gravity requires the use of non-commutative geometry for a complete understanding. It is very important to properly include time evolution in this framework. Our research will do this.