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Energy is frame-dependent, infrastructure of energy is frame-independent (2020)
Random musing from a grumpy, middle-aged, ex-academic, techie kitten.
The concept of energy and the elaborate mathematical infrastructure that surrounds it are so fundamental to mechanics that they are generally introduced less than half-way through the first semester of the introductory course in a college classroom (true whether you are doing a force-first or momentum-first introduction).But I'm pretty sure I'm not the only person to have said Most people who actually think about the classical energy infrastructure as taught in typical introductory books will eventually notice that the whole thing seems to rest on very arbitrary definitions. I intend to write a essay on why it isn't arbitrary at some point, but in the mean time it should be clear that not every conceivable foundation will have the property where the rules work as you change frames.
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