Implicit in your point is that we can not specify initial conditions with exact precision due to Planck's constant (which is intimately related to that the speed-of-light is finite and also conceptually related to the Heisenberg uncertainty principle).
Exactly. That's about it. BTW, I've read all the links you PMd me (thank you) on Armstrong Economics (BTW, most of them I've already was aware of; never dived in detail though). I think he has gone a step further than most of us (ok, at least me). The conclusive thought of his, based on "following the pattern of a Stokes diagram on 3D" truly *TRULY* amazes me. I'm sure he has his reasons for not sharing "which is the triple differential equation that rules our world"; but based on his thesis, -more or less- this is about it.
That is all fine and dandy, except it is irrelevant to games of chance in real world outcomes. If it were true that no order emerged from chaos, then entropy would be simultaneously infinite (internally) and 0 (externally) and nothing could exist from an internal nor external perspective. The internal perspective would fail to find any relative order (no point of reference with which to make an observation) and the external observer would observe a void.
First things first. Entropy is coming from the words "Eν τρoπή" which -in essence- means "during the process". What you're presenting here is a "burning a straw man" paradigm. But you see, on the contrary, Entropy is totally different if you change the initial conditions; as a totally different chaotic model is built. The internal perspective wouldn't fail to find a relative order since you -theoretically- could pick
any single moment as a "Zero Point". Thus a new Entropic order within a specifically chosen chaos. This is pretty similar with picking
as accurately as possible the initial conditions.
Further reading:
Cellular Automata.
Order exists at higher levels of conceptualization. And this is your myopia on
our disagreement about Armstrong's computer model and your other
egregious attack on knowledge. I encourage you to delve into the links I gave you to Armstrong's writings about his model and chaos theory wherein he explains that moving to higher dimensions can extract order that is hidden in lower dimensional conceptualizations similar to your myopia here.
P.S. you are correct that the existing stochastic models employed are one-dimensional and thus don't have the scope to pull order out-of-chaos. Armstrong developed a multi-dimensional entropy stochastic model which extracts hidden order.
First of, it's not bad for someone to admit his myopia. I believe we have a doctor here for these kind of cases, I hope he will give me a nice price fixing my 13/13 vision (joking)...
Second:
I disagree. Order DOESN'T exists ONLY at higher levels of conceptualization. There's a mathematical proof for this. To put it on another perspective; Chaos incorporates Entropy from its very beginning. Otherwise entropy would've been non existent in the first place. That's why we are here and be able to talk about it. BTW: I'm not a personal fan of Anthropocentric Model, but some times like this one, I truly struggle not to.
Third:
I must admit I gained a lot of info from your links (thank you, once more). I must also admit I'm a bit impatient to learn more (ie: how he normalizes the abnormalities, while choosing to leave aside "minor details"). Such a model is a true gem. I have more questions, but I don't think littering a place like this with an off-topic matter like "prediction of entropic morphemes within a chaotic model" is something I like to do... (This is sarcasm)
PS: my other
egregious attack on knowledge points to a link that I have not posted anything... Do you want to fix it / correct it?