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Dear Gordana, Joseph, Koichiro and Nikita,<o:p> </o:p></p>
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In my opinion, the exchange between Joseph and Koichiro regarding the transitions between the potential and the actual is very important as this is the point where we can approach closer to the nature of macromolecular (and biological) computation. The whole
process of computation is directly related to the aspects of ¡°potentiality in reality¡±. The advanced systems that developed complex behavior are able to hold the potential for a prolonged time to make precise outputs based on the choice of particular result
that help the system to navigate in the external world. This means that such holding the potential corresponds to the abstracting capacity, which was clarified in recent papers of Koichiro. This also corresponds to the duality of actual entity and of abstract
entity in the philosophy of A.N. Whitehead. <o:p> </o:p></p>
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Many years ago, in my first paper of BioSystems (1993) I suggested the idea that the Heisenberg uncertainty ratio ¡°energy-time¡± can explain the precision of operation of macromolecules as computing devices in living systems in a way that the prolonged time
of quantum measurement corresponds to the minimum dissipation of energy in it, i.e. to the precise result and thus represents the basis of natural computation performed by macromolecular devices.
<span style="mso-spacerun:yes"> </span>These devices operate as molecular automata of the extremal quantum computer, and their set maintains highly ordered robust coherent state, which precisely directs actualizations in the course of natural computational
process. During this process, single events corresponding to realization of interacting individual programs form a percolating network, and this leads to concrete spatial patterns constructed using optimal coordinate scales.
<o:p> </o:p></p>
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I am confident that this concept has a potential for development, and it is grounded in the ideas expressed by Efim Liberman in his conceptual approach to natural computation. Several concrete aspects of the quantum biological computation were outlined in the
works of Koichiro Matsuno, including the estimation of actual energy dissipation in the course of measurement accompanied by emitting quanta, each carrying energy E at every time interval ¦Ó (Matsuno and Paton, 2000, BioSystems 55: 39-46). The works of Yukio
Gunji, of Andrei Khrennikov, also earlier works of Howard Pattee and others, are particularly important in this development, although we are still at the beginning of this important paradigm of the ¡°new science¡±.
<span style="mso-spacerun:yes"> </span>In this development, the paradigm of the new science will incorporate the ideas of relational biology formulated by Robert Rosen, which will result in overcoming their too abstract original representation.
<span style="mso-spacerun:yes"> </span>Summarizing, I would say that we have all prerequisites for the concept of natural computation that can be applied to the real world, and the logic of potentiality in reality is in the core of this paradigm. The real world
is <i>tantot libre, tantot recherch¨¦ </i>(Beethoven words), and this is a pledge of freedom, which is the basis of the existence of the world and its evolution.<o:p> </o:p></p>
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All the best,<o:p> </o:p></p>
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Andrei<o:p> </o:p></p>
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