Transcript:

So someone asked me, what is the mass of a pixel? How much does a pixel weigh? So I said, it's easy. There's Einstein's mass-energy equivalence relationship. So, if you know the energy of the pixel, divide that by the square of the speed of light, and you get the mass of the pixel. It's not such a big deal.

But then I looked into it. And there is this guy called H. Bremermann, who took it to another level. He used E=mc², and he used Heisenberg's uncertainty principle. And he came up with a limit, which is c²/h. So c is the speed of light, h is Planck's constant. c²/h is Bremermann's limit, which is the maximum amount of bits per second per kilogram that could be processed. Bits of information per second per kilogram.

And someone took it to another level. 10⁹³ is called trans-computational. This is the limit of the amount of bits of information that can be processed — and assumes that the computer is the size of the Earth, and it has been running for the age of the Earth. And the total number of bits it could process is 10⁹³. Anything requiring more than 10⁹³ is trans-computational. It cannot be computed.