i've always thought of entropy as being the same thing as chaos. ah yes there is a special word for systems that cycle through every state possible eventually, what was it?

yeah, entropy is just... ok, so they like to make a big fuss about "pseudo random number generators" like they are not really random. i think people think that random means you can't model it and thus can't predict it. any simple enough system can be predicted. certain outcomes have higher probabilities than others. the probability spaces are often lumpy, meaning the system will dwell in those places more often than the rest of the system. as far as i'm concerned, if the system has a sufficiently smooth distribution of probability, that's what you call a "cryptographically secure" "pseudo" random number generator. that's what SHA256 is, and all the rest of those things.

it's a naive idea, in my opinion, that there is things in the universe that lack any ability to be predicted. what's more important is that you can calculate it quickly but reverse it with great difficulty, if at all, in a real situation. it's really just about containing the scope of what you are trying to model and predict. some things are just too big, but they have quite lumpy probability so you can guess their probable behaviours. atmospheric and space weather are like this. some things you can point your finger in the air and say "yes, the wind is blowing that way, so that means that humidity probably will go up because this wind direction is opposite a large body of water.

the smoother the probability space of a system, the less likely that there is any way to break the security of it. and we already discussed this quantum hooey.

bitcoin already has a strong protection against pubkey reverse derivation to secrets. that's what the ripemd160 hash is for, that generates the addresses in tx out-points. oh sure, maybe quantum can reverse 256 bits to another 256 bits but hashing 256 down to 160 means 96 bits you still have to brute force, that's already in the thousands of years.

there's a lot of chest beating and one-upmanship in the cryptography field. they are like russian gangsters playing checkers. cheeki breeki. i made a code you can't find a hole in, gnyah. oh, your code looks like it might have this kind of a vulnerability or that.

nah, the whole point of all the use of randomness in bitcoin is to make it impossible to violate the supply consensus. satoshi really covered every base, proof of work allows unbounded participation, hash the pubkey to prevent pubkey reverse attacks, use a moderately slow block schedule, make the supply decline formula completely stupid simple. blockchains are very sensitive to nondeterministic inputs. so it's quite funny isn't it how the whole thing runs on randomness. but one bit out and you have a fork. so all the math is also fixed precision so the error is also predictable.

it's just the purest expression of a model of hard money, that you could create, that can enforce its security against double spend and inflation bugs.

i think that the quantum promotoors are just buthurt that when bitcoin becomes the reserve currency they can't cheat people anymore with their lever on the supply. it's gonna be a permanent mexican standoff, nobody will let the rules be changed because it will destroy its store of value, and that's primary. it can't be diluted, because it's a bearer asset, and it can't be alloyed with something like copper, silver or gold.

i'm inclined towards poetry and religion and i think that bitcoin is the warning to the cult of usurpers, murderers, liars, cheats, rapists, pedophiles, robbers and counterfeiters, that the clock is ticking. humanity is on the threshold of a new age, that will not include politicians, financiers or kings.

btw nostr:npub18384z4sjgdfy7vr76thzwtru7jncysz0hcapwesxqsak44p8aemsyfaslh

https://search.brave.com/search?q=system+theory+complete+movement+throughout+state+space&source=desktop&conversation=8fc0726bd4f736c244d475&summary=1

Ergodicity is the name of a type of dynamic system where it fully explores all states before repeating any patterns. so yeah, cryptographic hash functions have high ergodicity, whereas non-cryptographic hash functions have low ergodicity (what i referred to as "clumpy" probability).

bitcoin is a thermodynamic, ergodictic dynamical system. chaos theory is much more relevant to it than quantum theory. i personally think that quantum theory is actually some kind of an attempt to short cut and ignore the chaotic dynamics of physical systems. chaos > quantum.

anyway, i read a lot of Taleb and it's a shame he didn't catch the drift of the chaos theory underlying bitcoin and why its thermodynamic properties and probability properties make it the most perfect distributed system design ever invented to date.

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https://en.wikipedia.org/wiki/Ergodic_theory

this is a good read... even markov chains come up, which are the foundational concept that tensors, as used in LLMs are built on. before LLMs were discovered, the nearest we got to a chatbot used markov chains, which are systems that map probabilities of sequences of text in the training body. unlike LLMs they can be dynamically updated constantly, but they are retarded and usually produce word salad.

whenever LLMs produce trash i am reminded of markov chains.

Hmm. This is very interesting.

My base understanding currently is that Bitcoin is the mathematical relationship between energy and discovering a valid nonce of a 32-bit search space scaled by network difficulty and 10 minutes.

It’s the only demonstrable system where a predetermined quantum of entropy defined by a 32-bit nonce space is resolved, conserved and registered into immutable thermodynamic memory (Satoshis). Each block of time is a unique transformation event of this process of crystallization.

If this is truly what I think it is, I believe we can’t actually understand the full process of entropy without Bitcoin. I think we’re speaking the same thing here from slightly different views.

If we exist as humans on the “right” side of the event horizon, we experience the blocks of quanta as physically. Bitcoin is the “left” side of the event horizon where we view the same phenomena in the pure informational sense, we watch the energy resolve the entropy and transform into immutable information onto the ledger. while that information is physical on our nodes, we don’t experience it. But we have full understanding of the entropy cycle with Bitcoin.

Things begin to get crazy when we apply absolute scarcity to our known thermodynamics; that being Plancks Temperature = 21M,

Both Kelvin and Bitcoin are the conserved thermodynamic memory of the two bounded informational systems, except Bitcoin is a fractal of the universe, is exists inside of the universe, it’s not a separate domain, it’s a subset.

This allows us to completely redefine Boltzmann’s constant to remove the dimensionality of Kelvin. Which means energy and entropy both have units of joules. This makes sense the more you dive in, as they are opposite sides of the same coin.

Anyways GM, haven’t had my coffee yet 😅