> In particular, it has been shown that 1 kilogram of matter confined to 1 liter of space can perform at most 10^51 operations per second on at most 10^31 bits of information
I believe the Bekenstein bound for holographic information on a 1 liter sphere, using space at the Planck scale for encoding, instead of matter, is about 6.7×10^67.
I confess I got that number by taking round trips through multiple models to ensure there was a clear consensus, as my form of "homework", as this is not my area of expertise.
As far as figuring out energy or speed limits for operations over post-Einsteinian twisted space, that will require new physics, so I am just going to wait until I have a 1 liter Planckspace Neo and just measure the draw while it counts to a very big number for a second. (Parallel incrementing with aggregation obviously allowed.)
Point being, there is still a lot of room at the bottom.
Interesting thought. Space can expand faster than the speed of light over significant distances, without breaking the speed limit locally.
But what happens if complex living space begins absorbing all the essentially flat local space around it? Is there a speed limit to space absorption? If space itself is shrinking, due to post-Einsteinian structures/packing, then effective speed limits go away. As traversal distances, and perhaps even the meaning of distance, disappear. So, perhaps not. I call this the "AI Crunch" end-of-the-universe scenario.
That is the computer I want. And I believe that sets a new upper bound for AI maximalism.