Critical state between local and global interaction

摘要

If it is supposed that all phenomena in nature are programmable, it must be admitted that the velocity of observation propagation is infinite. In natural phenomena, however, especially in the biological process, there are many situations in which the finite velocity of observation propagation cannot be ignored. The finiteness of velocity of observation propagation also means that the difference between the speed of each process has to be taken into account. There is certain problem of infinity, in the form of interaction between macroscopic and microscopic measurements and a time lag between them.The formal system proposed here is under the circumstance which the time lag between macroscopic and microscopic measurements leads to inconsistent computation. As a result, a system's behavior which contains unpredictable fluctuations can be decided by neither macroscopic nor the microscopic measurement. The fluctuations due to the inconsistent computation makes the system proceed to decrease the contradiction, and it entails self-organized critical structures.In addition, the issue of what is difference and similarity between this system and the self-organized criticality proposed by Bak et al. is discussed. Although the result of calculation here is similar with the self-organized critical structures, there is subtle different point of view on the fluctuation. The fluctuation in the system of this paper is generated as the contradiction between macroscopic and microscopic measurements. It is not given from the outside, but from the inside of the system itself.