Landauer's principle: This principle sets a lower bound on the energy required to erase one bit of information at about 3 × 10^-21 joules at room temperature.
Bekenstein bound: This limit relates to the maximum amount of information that can be contained in a given finite region of space with finite energy.
Given these theoretical limits, the compute power of computronium would be staggering:
For a 1 kg mass of computronium:
- It could potentially process up to 10^50 operations per second.
- Store around 10^31 bits of information.
For larger scales:
- A computronium planet could theoretically have computational power in the range of 10^42 to 10^50 floating-point operations per second (FLOPS).
- A computronium star might reach 10^60 to 10^70 FLOPS.