Re:Do we really travel through time with the speed of light?
by tgvaughan on Monday August 31, 2020 @03:51AM
(#24329313)
Just an aside: exploring the implications of relativity in a Euclidean space is the basis of Greg Egan's "Orthogonal" book series.
Re:Do we really travel through time with the speed of light?
by Retric on Monday August 31, 2020 @05:29AM
(#24329741)
The early versions of Minkowski space used imaginary numbers which you prefer is mostly just notation.
Re:Do we really travel through time with the speed of light?
by michaelsbradley on Monday August 31, 2020 @09:34AM
(#24331295)
Itβs possible to formulate SR/GR in Euclidean geometry as well:
What this means is that the length of a relativistic four-vector [ct, x, y, z] is sqrt((ct)^2 - (x^2 + y^2 + z^2)).
It is not the same as the Euclidian magnitude, i.e. NOT sqrt((ct)^2 + x^2 + y^2 + z^2)
The article does mention this, although with slightly confusing wording, but it should be emphasized that Lorentz invariant quantities need to be computed with the Minkowski metric.