Hi Y, Wrong. Monads are simply agebraic terms, and Yasue discusses them accordingly. He could have called his paper "quantum algebra" instead of "quantum monadology"
http://cognet.mit.edu/posters/TUCSON3/Yasue.html Roger , rclo...@verizon.net 8/7/2012 Is life a cause/effect activity ? If so, what is the cause agent ? ----- Receiving the following content ----- Receiver: MindBrain Time: 2012-08-06, 20:37:19 Subject: [Mind and Brain] Re: Monads are like Turing machines and can beexpressed as quantum algebras Yasue is not talking about the monads of Leibniz. What he has done is to steal a concept to give his work a sexy name. Richard --- In mindbr...@yahoogroups.com, "Roger " <rclough@...> wrote: > > Hi > > Monads are no more physical than a Turing machine or quantum algebra. > They have sometimes been compared to Turing macbhines, and > > In fact the monads are a type of quantum algebra : > > http://cognet.mit.edu/posters/TUCSON3/Yasue.html > > "I will briefly describe quantum monadology here; those who want to see the > complete picture are invited to read the original paper by Teruaki Nakagomi > (1992). For simplicity and brevity I will use minimal mathematical > formulation. > In quantum monadology the world is made of a finite number, say M, of quantum > algebras called monads.There are no other elements making up the world, and > so the world itself can be defined as the totality of M monads; W = > .,A1,A2,...,AM.". The world Wis not space-time as is generally assumed in the > conventional framework of physics; space-time does not exist at the > fundamental level, but emerges from mutual relations among monads. This can > be seen by regarding each monad Aias a quantum algebra and the world W = > .,A1,A2,...,AM.." as an algebraically structured set of the quantum algebras > called a tensor product of Mmonads. The mathematical structure of each > quantum algebra representing each monad will be understood to represent the > inner world of each monad. Correspondingly, the mathematical structure of the > tensor product of Mmonads will be understood to represent the world Witself. > To make the mathematical representation of the world of monads simpler, we > assume each quantum algebra representing each monad to be a C* algebra A > identical with each other, that is, Ai = A for all irunning from 1 to M. > Then, the world can be seen as a C* algebra W identical with the Mth tensor > power of the C* algebra A. > It is interesting to notice that the world itself can be represented as the > structured totality of the inner worlds of M monads. A positive linear > functional defined on a C* algebra is called a state. The value of the state > (i.e., positive linear functional) for an element of the C* algebra is called > an expectation value. Any state of the C* algebra of the world W is said to > be a world state, and any state of the C* algebra of each monad A is said to > be an individual state. As the world state is a state of the worldW, it can > be seen as the tensor power of the individual state. In addition to the > individual state, each monad has an image of the world state recognized by > itself; it is a world state belonging to each monad. > The world states belonging to any two monads are mutually related in such a > way that the world state belonging to the i-th monad can be transformed into > that belonging to the j-th monad by a unitary representation of the Lorentz > group or the Poincar? group. Identifying the world state belonging to each > monad with the world recognized by the monad, the conventional representation > of the world as a four dimensional space-time manifold can be derived from > the above mutual relation in terms of the Lorentz or Poincar? group. Thus the > idealistic concept of the unlimited expansion of space-time geometry in > conventional physics is shown to be an imaginary common background for > overlapping the world image recognized by every monad. > Each monad has a mutually synchronized clock counting a common clock period, > and each monad has a freedom (free will) to choose a new group element g of > the Lorentz or Poincar? group G independently with the choice of other > monads. If a monad in the world happens to choose a new group element g in G > after a single clock period, then the world state belonging to this monad > changes in accordance with the unitary transformation representing the chosen > group element and the jump transformation representing the quantum reduction > of the world state. The world states belonging to other monads also suffer > from the change in accordance with the unitary transformation representing > the mutual relation between the world state belonging to this monad and the > world states belonging to other monads. > For each monad, say the j-th monad, the tendency to make a choice of a new > group element g in G after a single clock period is proportional to a > universal constant c and the expectation value of the jump transformation > with respect to the world state belonging to the j-th monad. Such a change of > the world states belonging to all the monads induces the actual time flow, > and the freedom to choose the group element is understood as the fundamental > element of mind; thus the origin of free will can be identified here. > Although I cannot here fully explain Nakagomi's theory of quantum monadology, > I want to emphasize that quantum monadology may be the only fundamental > framework of frontier physics that can visualize not only the materialistic > world of physical reality but also the Platonic world of mathematical and > philosophical reality. " > > > -Roger <Snip> __._,_.___ Reply to sender | Reply to group | Reply via web post | Start a New Topic Messages in this topic (2) Recent Activity: New Members 3 Visit Your Group Switch to: Text-Only, Daily Digest • Unsubscribe • Terms of Use. __,_._,___ -- You received this message because you are subscribed to the Google Groups "Everything List" group. 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