Only His Hairdresser Knows for Sure

Did Einstein discover E = mc^2?

One thing that bothers me about the “somebody had mc^2 and only had the proportionality constant wrong” arguments is that it ignores one very important point: whatever you come up with, the units have to be that of energy. So it’s not like the Far Side cartoon where Einstein has written E=mc^3, E=mc^7 and various other powers and the cleaning lady says “Everything’s squared away. Yessir, squaaaaaared away!” (and Albert has a wonderful look on his face). Funny, for a cartoon, but in reality you need a speed squared term to go along with mass in order to get units of energy. E=mc^7 doesn’t have units of energy. E=mc^2 does. So, really, showing what the proportionality factor is is really the majority of the battle.

3 thoughts on “Only His Hairdresser Knows for Sure

  1. If I recall there has been several papers in the past that had E ~ mc^2.

    So I doubt it was a “surprise” when Einstein wrote it down, but he got the numerical constant correct by his reasoning based on special relativity. As far as I know, older claims that E ~ mc^{2} were not based on such a paradigm shift and various numerical factors have appeared.

    In my opinion E = mc^2 is not really that important in this context, what is important is that it is understood in the context of special relativity. I will allow science historians to argue as much as they like about this!

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