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### Imaginary velocity components in geodesic [duplicate]

When we try to find the geodesic of a partical at rest, in the second term of the geodesic equation we use dt/dtau = 1. Shouldn’t it be i (for imaginary number), since the time component of the 4-...
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### Is time intrinsically complex? Does it have an imaginary component? [duplicate]

In twin paradox, there is an unaccounted area in the unaccelerated frame of its Space-time diagram when one frame's simultaneity is being mapped to the other; ergo period motion of pendulum in one ...
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### Minkowski product as Euclidean product plus spatial inversions

In special relativity, we write contravariant and covariant vectors respectively as $$A^\mu=(A^0, A^1, A^2, A^3), \quad A_\mu=(A_0, A_1, A_2, A_3).$$ Since $A_\mu=\eta_{\mu\nu}A^\nu$, we read off the ...
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### How well does the concept or model of imaginary time work? [duplicate]

In order to make the Minkowski metric, in special relativity, equivalent to the Euclidean metric, one idea is to allow time to take imaginary values. As far as I have learned about SR, it does make ...
801 views

### Is velocity an angle?

I am not a physicist. I have only rudimentary notions about the following. I looked for similar questions on SE but I did not find any. I also tried search engines but results relate to angular ...
1 vote
Why time is not like other dimensions is a real amount? In relativity time axis is $i*c*t$, where $i$ is the imaginary unit and $c$ is light speed in free space. Did science or philosophy reached to ...