Does the Planck Length Break E=MC^2?

Every good nerd knows that E=mc^2. Every great nerd knows that, really, E^2=m^2c^4+p^2c^2 Want to know what that even means? Sure, I’ll tell you, but today I’d like to invite you to an even higher level of nerdom with extra bits to Einstein’s famous equation that will make even the greatest nerds quiver in their … space time merch if they turn out to be real.