一种空时体积与引力的激发和跃迁生成模式

On the creation of spacetime volume and gravity in loop gravity

利用4单形及其对偶1-骨架,描述了纯空时的跃迁.对自旋网编织成的三维空间在跃迁的两个台阶间体积的改变做出了证明.给出了四维空时体积的一个平坦量子涨落模型.利用自旋网腿中的圈线刺过曲面时产生的激发,获得了三维空间的2阶对称离散张量hab,按照空时是激发和跃迁体系的观点,得到了离散引力场hμν的产生与改变机制.

Using the 4-simplex and its dual-skeleton spin networks,a quantum transition of pure spacetime is described.The change of vertex volumes between successive steps of the transition of the three-dimensional space woven by spin networks is demonstrated.At the same time,a model of quantum flate fluctuation of the four-dimensional spacetime is given.Employing the excitations created when the loops on the edges of spin network pierce sarfaces,a 2 order symmerric tensor hab is obtained in three-dimensional space.Based on the viewpoint that the spacetime is excitation and transition system,the creation and the change mechanisms of the gravitational field hμν are investigated.