Many texts on relativity often present it in a way that makes it seem unintuitive and difficult to visualize . However, we can easily formulate relativity in terms of ordinary Euclidean geometry.
An easy way to see this is by starting with the Minskowski approach and switching the roles of time and proper time to get \(t^2 = \tau^2 + x^2\) (using natural units \(c=1\)). This means we now treat proper time as the 4th coordinate rather than common time. This approach is also sometimes referred to as Proper Time Geometry or Circular Function Geometry . ...See More
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January 4, 2021