论文标题
重力的两个阶段之间的离散不连续性
A discrete discontinuity between the two phases of gravity
论文作者
论文摘要
当tetrad（公制）磁场不可逆转时，重力的标准规范公式不能像原样一样采用。在这里，我们开发了一种对非可逆性四分之一的重力理论。与爱因斯坦重力相反，发现此阶段具有三个局部自由度。这反映了消失的二元决定因素的极限的离散性不连续性。对于消失的特殊情况，哈密顿的约束因固定扭转量规格而消失了。内部量规旋转和空间差异性下的任何状态功能不变是相关量子理论的形式解决方案。这里的公式提供了一个哈密顿的基础，以分析围绕物理奇异性的重力理论，这对应于弯曲时空中的四位型决定因素的零。
When tetrad (metric) fields are not invertible, the standard canonical formulation of gravity cannot be adopted as it is. Here we develop a Hamiltonian theory of gravity for non-invertible tetrad. In contrast to Einstein gravity, this phase is found to exhibit three local degrees of freedom. This reflects a discrete discontinuity in the limit of a vanishing tetrad determinant. For the particular case of vanishing lapse, the Hamiltonian constraint disappears from the classical theory upon fixing the torsional gauge-freedom. Any state functional invariant under the internal gauge rotations and spatial diffeomorphisms is a formal solution of the associated quantum theory. The formulation here provides a Hamiltonian basis to analyze gravity theory around a physical singularity, which corresponds to a zero of the tetrad determinant in curved spacetime.
