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Dec 20, 2023 at 23:19 comment added Albertus Magnus @ Geometria. In that case, given the linear geometry of photonic world lines, ${(x^i-x^i_0)\over (x^4-x^4_0}=v_i$can be understood as a slope of line formula, which can be transposed to the relation you seek. Where of course, the photon paths have been parametrized as unit speed curves.
Dec 20, 2023 at 16:16 history edited GeometriaDifferenziale CC BY-SA 4.0
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Dec 20, 2023 at 16:16 comment added GeometriaDifferenziale > What do you mean by: "$ x_4 $"? It's a typo.
Dec 19, 2023 at 1:53 history edited Qmechanic
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Dec 19, 2023 at 0:08 comment added Albertus Magnus In the mathematical question; what do you mean by: "$x_4$"?
Dec 18, 2023 at 23:48 comment added Albertus Magnus Just in case you are wondering, by "admissible" the author no doubt is talking about inertial as opposed to non-inertial observers, to which the special relativity theory does not apply.
Dec 18, 2023 at 23:09 answer added Albertus Magnus timeline score: 1
Dec 18, 2023 at 21:28 comment added Solomon Slow If an event is on your world line, that means the event happens to you. If it merely is near your world line, then the event happens near you. If your world line intersects the world line of a photon, that means that the photon hit you (and, probably also means that the photon's world line terminates at the point where it intersects yours.)
S Dec 18, 2023 at 20:30 review First questions
Dec 18, 2023 at 21:33
S Dec 18, 2023 at 20:30 history asked GeometriaDifferenziale CC BY-SA 4.0