A straight line may be the shortest 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 between two points, but a "Brachistochrone" curve is the path of least timepic.twitter.com/aWPoz9X6i9
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What would be the deflecting force then that caused them to deviate their paths? 2nd Law issues arise I think? Not a physicist so...forgive my ignorance.
They don’t get deflected but there’s length contraction and time dilation effects you’d have to consider
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So then the answer to the original question falls apart? I was assuming these to be freely moving bodies, not on a track. If they begin by moving at near C in the same direction, their paths will remain the same no cycloid, no right angle bend, all three same geodesic path?
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They’re only freely moving along the path, they only have a single degree of freedom
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It is far more stranger to think light travels at a constant “c” than to think it tries to remain at c. Why? Because(case1) at a “c” space and time are being changed. But in (case2) trying to stay at “c” space & time is perceived to be changing but really are not.
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