【摘要】 利用圈算符中的抓是抓在圈量子引力自旋网腿中圈线上的方法.给出了一种正规化的等距面积谱和体积本征值的代数公式谱.利用这种方法,可实现圈量子引力的微分同胚约束和Hamilton约束方程的计算.同时证明了自旋网态在统一方法下满足这两种量子约束.更多还原

【Abstract】 An equidistant regularization spectrum for area eigenvalues and the explicit algebraic formulae for volume eigenvalues are given respectively,by using the way that the grasps of loop operators are grasping on the loop segments in the edges of spin networks.By the same way,it is realized that the diffeomorphism and Hamiltonian constraints equations of loop gravity can be calculated,and the proof that the spin networks states satisfy the two quantum constraints under such action of loop operators is given.更多还原