Interpreting the collapse process in terms of new motion of particle

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چکیده

In order to provide a complete theory, the founders of quantum mechanics cleverly added a simple projection postulate to its consistent axiom system to account for the measurement process [16], whereas this postulate is evidently a conditional description about the measurement process, it says nothing about how the measurement can and does bring about one definite result, or how the collapse process of the wave function happens during measurement, so the projection postulate needs to be further explained in physics [4] [17] [19]. In recent years many efforts have been made to tackle the so-called collapse problem, and it is well known that in order to bring about the collapse process of the wave function, some kind of randomness should take effect in the normal deterministic evolution of the wave function, but, up to now, the randomness has not been introduced into on a solid basis yet, for example, in the well-known GRWP theory [11] [12] [17] [18] the randomness comes from the special quantum fluctuations of space-time, which is still ill-defined without a consistent quantum theory of gravity; while in Penrose’s proposal of gravity-induced quantum state reduction [19] [20], the origin of the randomness is not touched on at all, in fact, based on the fundamental conflict between the principle of general covariance of general relativity and the principle of superposition of quantum mechanics, what he can conclude in a heuristic way is only that the collapse process should happen when relativistic gravity is considered in the evolution of the wave function, since in the absence of randomness this conflict alone can not provide an answer about how the collapse process happens. Now, the new motion of particle [10] just provides such a broad framework for objectively studying the microscopic process that it may also help to solve the collapse problem, for example, there may exist many kinds of concrete motion modes among the new motion, and the new motion may display differently in the nonrelativistic and relativistic domains, especially when involving relativistic gravity the new motion of particle may naturally provide the origin of randomness in the collapse process, and further result in the objective collapse process. The plan of this paper is as follows: In Sect. 2 we first analyze and give the natural origin of randomness in the collapse process. Then in Sect. 3 the possible role of gravity in the collapse process is carefully examined, and the proper existence of local position state is demonstrated. In Sect. 4 we give a strict definition of the quantum jump motion, and its evolution principles are also presented, especially its relation with the collapse process is deeply analyzed. In Sect. 5, as one example, we analyze in detail the collapse process for two-state system using the evolution principles of quantum jump motion, and the concrete collapse time for such system is deduced out. In Sect. 6 we give a general evolution equation of the quantum jump motion, which can be used to account for the collapse process of any wave function. Then in Sect. 7 some experimental evidences supporting our collapse model are discussed, and their coincidence with the prediction of our collapse model is demonstrate. In sect. 8 we give some further theoretical implications on the future theory of quantum gravity. At last, in Sect. 9 we analyze the possibility to confirm our collapse model using present technology.

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تاریخ انتشار 1999