I've been talking about a light clock in deep space which when at rest ticks more slowly than when it's moving.
Letís start with that fact about your light clock at rest in deep space. You say it ticks more slowly when it is at rest.
Sorry - that bit was meant to say "more quickly". Writing fast leads to occasional inversions.
Those two statement seem inconsistent to me. Are they supposed to be the other way around, i.e., the rest clock ticks faster, and the moving clock ticks slower? That would make more sense to me.
Correct diagnosis. I'll edit a correction into the relevant post. Apologies again - I don't know why reading through it after posting didn't pick it up either.
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