量子过程、时空表征与脑动力学
Quantum processes, space-time representation and brain dynamics
摘要：
最近的争论的适用性的量子形式主义的脑动力学进行了批判性的分析。任何类型的量子形式主义或量子场论的前提是研究大脑的解剖结构是否允许任何类型的光滑几何概念，如量子场论的希尔伯特结构或四维闵可夫斯基结构。目前对大脑功能的理解显然否定了闵可夫斯基意义上的任何时空表征。然而，三维空间和一个时间可以分配给神经流形和概率几何的概念被证明是适当的框架，以了解大脑动力学。在此框架下，讨论了量子结构的可能性。
英文摘要：
The recent controversy of applicability of quantum formalism to brain dynamics has been critically analysed. The prerequisites for any type of quantum formalism or quantum field theory is to investigate whether the anatomical structure of brain permits any kind of smooth geometric notion like Hilbert structure or four dimensional Minkowskian structure for quantum field theory. The present understanding of brain function clearly denies any kind of space-time representation in Minkowskian sense. However, three dimensional space and one time can be assigned to the neuromanifold and the concept of probabilistic geometry is shown to be appropriate framework to understand the brain dynamics. The possibility of quantum structure is also discussed in this framework.
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