arivero said:
The big thing about econophysics is that in economy we are pretty sure that there are no quantum effects, any probability is just classical probability, albeit it can be very complicated.
That's obviously right in the sense that it's more than reasonable to consider the players in the economy to be "classical systems", but the analogy and mechanis I have in mind is in fact much more subtle and clever than that.
In the sense I mean, there ARE most probably effects "analogous" to quantum effects also in economy. I already declared that it is speculative but "Quantum effects" as per my VISION (don't ask me for proof; I don't have it yet) can be understood in a more general sense, namely that the action of a system does not obey a normal classical probability distribution: which would mean that the action is as if it chooses one simple possibilities at random. But that's not how a rational player would act, the rational action accounts for ALL possibilities at once. But the key to the "quantum logic" as opposed to the classical logic, is that each rational player, has FINITE memory, and FINITE processing power; this means that in order to survive non-commutative structures are preferred. IE. a player that implements non-commutative sub-sets in his memory structure, rather than just a big classical microstructure can be more FIT. And this is the key to the "quantum logic".
So the notion of "rational action" can be generalized to non-commutative structures (ie. the observers knowledge is composed of non-commutative sub-structures that are defined and ordered in the flwo of information processing) and this is the orginal of quantum logic.
I'm not suggesting that current economic models solve the problem, I'm just noting that there are similar problems in macoreconomy, such as defining fundamental values etc. Not to unlike defining fundamental degrees of freedom.
But maybe intuition acquired from that field, may provide new light to some physics problems. They I personally "understand" quantum mehcnaics, is exactly in terms of these things. And the key is to understand that quantum logic is related to non-commutative information structures; and to understand WHY non-commutative structures are in fact more FIT than just one classical microstructure.
Sorry for the long response, we shouldnt' discuss that in this thread but I just want to insiste that I meant something much deeper with the analogy. Economic theory, as well as social theory are just fields where there exists similar problems, and experience from other fields may be a nice source of inspiration and may help ask good questions.
/Fredrik