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Bekenstein Bounden.wikipedia.org/wiki/Bekenstein_bound#Human_brain
15 sats \ 4 comments \ @random_ 18 Jun 2022 bitcoin
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0 sats \ 1 reply \ @nkmg1c_ventures 19 Jun 2022
I notice you linked specifically to the human brain section, that is interesting. That exponent is huge and yet ...
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0 sats \ 0 replies \ @random_ OP 20 Jun 2022
It made me think of Westworld, to be honest.
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0 sats \ 1 reply \ @nkmg1c_ventures 19 Jun 2022
What's the significance? The idea being that physics tells us we cannot have a timechain that goes on forever (because of spatial and therefore memory limitations)?
... a Turing machine with finite physical dimensions and unbounded memory is not physically possible.
Bekenstein derived the bound from heuristic arguments involving black holes. If a system exists that violates the bound, i.e., by having too much entropy, Bekenstein argued that it would be possible to violate the second law of thermodynamics by lowering it into a black hole.
It's an issue because Bitcoin is Turing-complete? I am downloading the chain right now and it's big but still small enough to fit on a laptop. Imagine the spatial storage capability corporations and governments have. Bitcoin longevity is only an issue re: physical storage if we choose to make it one, for the timescales it is rational to worry about. If the argument is that Bitcoin can't go on forever, the same entropy arguments predict heat death of the universe. Bitcoin is still a big leg up in the meantime.
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0 sats \ 0 replies \ @random_ OP 20 Jun 2022
The significance is that there's a physical limit to the amount of information that can be stored in a given space. I believe this fact made the Lightning Network inevitable because, regardless of the chosen blocksize, we would hit that bottleneck eventually.
Also, I wanted to point out that Bitcoin is not Turing complete because it does not have infinite loops or recursion. i.e. while you can solve an arbitrary problem instance from a class of problems with a specific Bitcoin script, you cannot solve that class of problem with a single Bitcoin Script.
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