The Hamiltonian structure of General Relativity (GR), for both metric and tetrad gravity in a definite continuous family of space-times, is fully exploited in order to show that: i) the "Hole Argument" can be bypassed by means of a specific "physical individuation" of point-events of the space-time manifold $M^4$ in terms of the "autonomous degrees of freedom" of the vacuum gravitational field ("Dirac observables"), while the "Leibniz equivalence" is reduced to differences in the "non-inertial appearances" (connected to "gauge" variables) of the same phenomena. ii) the chrono-geometric structure of a solution of Einstein equations for given, gauge-fixed, initial data (a "3-geometry" satisfying the relevant constraints on the Cauchy surface), can be interpreted as an "unfolding" in mathematical global time of a sequence of "achronal 3-spaces" characterized by "dynamically determined conventions" about distant simultaneity. This result stands out as an important "conceptual difference" with respect to the standard chrono-geometrical view of Special Relativity (SR) and allows, in a specific sense, for an "endurantist" interpretations of ordinary "physical objects" in GR.
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机译:充分利用哈密顿广义相对论(GR)在确定的连续时空族中的公制和四重重力结构,以表明:i)可以通过特定的方法来绕过“孔论点”时空流形$ M ^ 4 $的点事件的“物理个体化”以真空引力场(“狄拉克可观察物”)的“自主自由度”表示,而“莱布尼兹当量”简化为相同现象的“非惯性外观”(连接到“量规”变量)的差异。 ii)对于给定的,经轨距固定的初始数据(满足柯西曲面的相关约束的“ 3-几何”),爱因斯坦方程解的时间几何结构可以解释为数学整体中的“展开”特征为关于遥远同时性的“动态确定的约定”的“异步3空间”序列的时间。该结果相对于狭义相对论(SR)的标准时间-几何视图而言,是一个重要的“概念差异”,并且在特定意义上允许对GR中的普通“物理对象”进行“耐力派”解释。
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