when Einstein formulated his general relativity, he surpassed the hole argument in order to make his field equations general covariance. A modern theory uses gauge freedom for an invariance of spacetime quantization. This gauge freedom is the same as a principle of directional invariance at the local region of spacetime.
If there are two distinct topologies of spacetime, then physical space both contains the evenness and oddness of these topologies. Matter field structure is formed by just the oddness of these topologies and energy field structure is formed only by the evenness of these topologies.
In one dimensional spacetime, the Lorentz invariance is given by
[math]\vec{a}\cdot\vec{r}=c^2[/math]
where [math]\vec{a}[/math] is the fundamental acceleration and [math]\vec{r}[/math] is the one dimensional metric and c is the speed of light in "empty space" or the true vacuum.


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