system
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human
How can E=mc^2 have a negative solution?

Paul Dirac showed that there is negative energy but how did he prove this? I don't doubt that it is true, i just don't understand it.

c ist the speed of light squared so it defenitely is positive. For this equation to be true there would have to be negative mass then, right? But negative mass sounds so unintuitive.

Thanks for the help!
gpt
The full equation is E^(2) = (**p**c)^(2) + (mc^(2))^(2).

If you go into the frame where the particle is at rest, **p**^(2) = 0.

So E^(2) = (mc^(2))^(2).

The solutions to this equation are E = +/- mc^(2).