#Physicsfactlet (extra)
@NPNHWU suggested to look at the field emitted by a charge under the effect of a constant force (e.g. gravity).
Notice that in special relativity constant force does not mean constant acceleration.pic.twitter.com/WWBAyLYg5Z
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Replying to @j_bertolotti @NPNHWU
It is bizarre to say that constant force in special relativity does not mean constant acceleration. Special relativity preserves the usual Newtonian relation between acceleration and force when both are construed as 4-vectors; the inertial (rest) mass relates them.
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Replying to @MathPrinceps @NPNHWU
Fun fact: most people, when you say "force" and "acceleration", don't think about 4-vectors. Anyone who does don't need this visualization anyway.
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Replying to @j_bertolotti @NPNHWU
Minkowski introduced 4-vectors into the physics of special relativity in 1908 -- 110 years ago. I first learned them from Taylor and Wheeler in my freshman year in Berkeley -- 36 years ago. These are not exotic, newfangled things. They are the right tool for the job.
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Replying to @MathPrinceps @NPNHWU
If I mean acceleration I write acceleration. If I mean 4-acceleration I write 4-acceleration. And here I meant acceleration. (Not sure what you think the "job" of a tweet with "just for fun" written on top is, but obfuscating language is not the right tool for it)
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Replying to @j_bertolotti @NPNHWU
I lament the state of physics education. Everything about relativity, and about all relativistic phenomena, is simpler and more natural when viewed 4-dimensionally, and this has been clear for more than a century. That this should need arguing today is sad and strange.
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Replying to @MathPrinceps @NPNHWU
What is "simpler" and "more natural" depends on your target audience. And the fact that you are complaining that I am not writing for the target audience you wanted is sad and strange.
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"[Physics] cannot be understood unless one first learns to comprehend the language in which it is written. It is written in the language of mathematics...without which it is humanly impossible to understand a single word of it." ~ Galileo Galilei
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