- #36
treat2
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Originally posted by selfAdjoint
If something is "invariant" under a system of trasformations, then it will have the same value after you do such a transformation as it did before. For example length is invariant under rotations.
According to ONE of the two ways of formaliziing relativity, mass is invariant and energy is not. According to the OTHER formalism, mass is not invariant but energy is.
If this duality seems counterintuitive think of this. You are looking at something which is speeding by, or toward, or away from you. You observe its behavior, and set out to do equations on that. You find that the equations predict the same behavior if you plug in an invariant mass and an energy that is a certain function of speed, or if you plug in an invariant energy and have the mass be a certain function of the speed. Either way gives you the same predictions of behavior. This is actually a "duality" like the ones the string physicists talk about but SR is such a simple theory the duality has no effect, except to confuse students.
You are going to have to check each answer to your question according to who sent it. Each individual should be consistent with him/herself, but they will disagee with each other, only due to this double formality problem.
Many thanks! At least I know that I didn't misunderstand everything, and am at least not more confused now, than after the replies began coming in. LOL!
I'm reluctant to ask anything more about it, as it seems it seems that whenever I do, the reply indicates I'm varying the wrong thing. LOL! Thanks again. I'm going to quit asking more questions, before someone says that this explanation is wrong, too! Thnaks again.