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Extremely sketchy hack for a zero degree approximation is to imagine Porky Pig's face on the side of a ballon. Light inside the ballon travels from the surface directly towards you at the centre, very slowly, as the balloon inflates. Porky is further away but still looks bigger.
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Wolfram also said something in a Lex Fridman podcast that I'm still thinking about: the reason why you get time dilation at relativistic speeds is because you can either spend computation on being updated or moving and if you are moving fast you don't get updated as much.
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