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The pop physics around relativity is particularly bad so I am happy that helped! Relativity does not have to be super mathy, special relativity is kind of just
by crdrost 5y ago
The pop physics around relativity is particularly bad so I am happy that helped!
Relativity does not have to be super mathy, special relativity is kind of just a postulation that maybe there's a different sort of Doppler shift in the world. In the normal Doppler shift, clocks moving towards you appear to tick fast and clocks moving away from you appear to tick slow. Relativity adds a universal effect where if you accelerate towards a clock, it will also appear to tick faster, in proportion to both your acceleration and its coordinate along that acceleration line. So it's just an anomalous Doppler shift, to first order. (And all higher-order behavior can be derived from that.)
So like in the twin paradox, it is resolved because one of the twins accelerates towards the other twin, and when that acceleration is happening the other twin gets much much older very quickly because they are far away and the twin is accelerating towards them.
Furthermore this makes it much easier to understand some aspects of general relativity quite quickly. For example you get gravitational time dilation without much effort, once you postulate that the state of nature is freefall and we are actually accelerating against that, in a constant acceleration g upwards, which is why things in the natural state of freefall appear to accelerate downwards with acceleration g, you immediately predict that relativity will tell you that you see clocks in the upper atmosphere tick faster than they do down here. Furthermore you predict that if you could see through the Earth, at some surface below you you would hypothetically see clocks stand still, leading into a quick intuition for black holes.
- squeaky-clean 5y agoYeah I was able to handle Special Relativity fine without any need to re-dive into much math. But for the GR course I quickly realized I needed to restart from basic matrix math, haha.