弯曲时空与量子力学的同时出现
Simultaneous emergence of curved spacetime and quantum mechanics
摘要：
本文证明，当背景平坦流形中出现只依赖于时间的量子Weyl旋量，而旋量的抽象空间具有辛性质时，几何上无结构的时空流形瞬间转化为弯曲的时空流形，即黎曼时空，或者可能是Finslerian时空和相应的黎曼时空.该方案描述了广义相对论和量子力学的引力同时出现，引力的出现导致了广义不确定原理，而广义不确定原理又导致了离散时空的出现。在这里，出现的时空被指定为Finslerian，并且由于量子化的空间和时间，该时空中的场方程已经从经典的场方程中获得。从这个场方程中，我们得到了Finsler空间的关联黎曼空间（实际上是宇宙的背景FRW时空）中的大质量（普朗克阶）旋量的量子场方程，这些大质量旋量提供了符合爱因斯坦等效原理的质量分布。所有这些都发生在不可分割的最小时间内，被认为是零时间或自发性。
英文摘要：
It is shown in this paper that the geometrically structureless spacetime manifold is converted instantaneously to a curved one, the Riemannian or may be a Finslerian spacetime with an associated Riemannian spacetime, on the appearance of quantum Weyl spinors dependent only on time in that background flat manifold and having the sympleic property in the abstract space of spinors. The scenario depicts simultaneous emergence of the gravity in accord with general relativity and quantum mechanics.The emergent gravity leads to the generalized uncertainty principle, which in turn, ushers in discrete space time. The emerged space time is specified here as to be Finslerian and the field equation in that space time has been obtained from the classical one due to the arising quantized space and time. From this field equation we find the quantum field equation for highly massive (of the Planck order) spinors in the associated Riemannian space of the Finsler space, which is in fact, the background FRW space time of the universe.These highly massive spinors provide the mass distribution complying Einstein equivalence principle. All these occurred in the indivisible minimum time considered as zero time or spontaneity.
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