How do I wrap my head around time dilation and light clock thought experiment?
#1
I’ve been trying to wrap my head around why the concept of time dilation in special relativity feels so counterintuitive when I work through the light clock thought experiment. I can follow the math with the Lorentz factor, but my gut keeps insisting that time should just tick at the same rate for everyone, regardless of relative velocity. Does anyone else struggle with this mental block even after understanding the derivation?
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#2
I know that time dilation gets me every time the light clock comes up. The math finally makes sense, but the gut still wants to insist nothing changes. I sketched the light clock on a whiteboard, drew the diagonal light path, and watched how the ticks line up with the moving frame. It helped just enough to keep me from arguing with the algebra.
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#3
I've told myself that every observer carries their own clock and light keeps the same speed for everyone, so the ticks must stretch or slow down somewhere else. It helps a little until I try to feel it and then the feeling says I’m wrong about time being universal.
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#4
Could the sticking point be our stubborn sense of simultaneity more than the ticking itself? If two events aren’t simultaneous in the moving frame, does that erode the intuition about one universal rate of time?
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#5
I did a cheap demo with a little cart and two clocks taped to it, one on the cart and one stationary, and filmed them with a phone. In the footage the cart clock looked a touch slower from the stationary camera as it sped up. Not perfect, but it stuck with me that the effect isn’t just math in a book.
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