作为可变形固体的时空
Spacetime as a deformable solid
摘要：
在这封信中，我们讨论了把时空本身当作一种变形体来处理的可能性，我们可以为这种变形体定义一个基本晶格，就像晶格中的原子一样。我们有三个迹象指向这个方向。我们用一个非常特殊的曲线汇来模拟时空流形，并用Landau-Raychadhuri方程来研究这种汇的行为。格之所以出现，是因为我们不得不把同余的每条曲线与一种基本的“粒子”联系起来。这些粒子的世界线应该与满足时空流形的同余一致。结论是，当描述时空的变形时，爱因斯坦方程出现了，时空度规应该被视为理论的次要（而不是基本）对象。
英文摘要：
In this letter we discuss the possibility of treating the spacetime by itself as a kind of deformable body for which we can define an fundamental lattice, just like atoms in crystal lattices. We show three signs pointing in that direction. We simulate the spacetime manifold by a very specific congruence of curves and use the Landau-Raychadhuri equation to study the behavior of such a congruence. The lattice appears because we are forced to associate to each curve of the congruence a sort of fundamental "particle". The world-lines of these particles should be identified with the congruence fulfilling the spacetime manifold. The conclusion is that when describing the deformations of the spacetime the Einstein equations emerge and the spacetime metric should be treated as a secondary (not fundamental) object of the theory.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
