#Space in time time viynl series#

#Space in time time viynl series#

There are beautiful, deep insights to be made as Emmy Noether showed us, and her genius deserves nothing less than an entire series of articles on their own. In general, it means that there is a certain kind of symmetry at play, which in turn means that something is conserved. In physics and mathematics, whenever something equals zero, something special is going on: it may entail a certain system in a certain configuration that is stable, static even, it may point to constant motion, an energy well, an attractor, a root, a conservation law, homogeneity, or a minimum or maximum of some kind. While this may seem nice and simple, the question we should be asking is, what is zero? If we know the answer to that, we know the answer to what all the terms are on the left-hand side of the equals sign. We can also write the previous expression in terms of their distance from $O$. $ Figure 1 A photon travels from O to F in a three-dimensional space Let us write down the expression for its distance-squared, $d(O,F)^2$, in terms of the other distances using the good old Pythagorean theorem: Suppose, a photon is emitted from origin $O$ and travels to point $F$ as depicted in Figure 1. It is the invariance of the spacetime interval.

There is one thing, though, that does not vary.

Einstein and collaborators taught us that space and time are not fixed quantities.