相对论量子经济物理学--复杂系统建模的新范例
Relativistic quantum econophysics - new paradigms in complex systems modelling
摘要：
这项工作涉及量子经济物理学中的新的相对论方向，在此范围内，提供了社会经济系统数学建模中经典范式的变化。经典物理学的出发点是假设所有表征系统状态的物理量的直接值都存在，并且原则上可以精确测量。非相对论性量子力学并不拒绝经典物理量的直接值的存在，然而并不是每个物理量都可以同时测量（不确定原理）。相对论性量子力学原则上拒绝任何物理量的直接值的存在，因此拒绝系统状态的概念，包括波函数的概念，这变得严格不可定义。这项工作的任务包括经济物理学分析的概念基础和经典物理学，相对论，非相对论和相对论量子力学的数学仪器，受历史，心理和哲学方面和社会经济建模问题的现代状态。我们已经表明，实际上，而且实际上，很久以前，新的建模范式在量子理论中被接受，在量子理论的范围内，物理量算子的概念成为主要的基本概念，系统动力学的描述在本质上变得离散和近似，对未来的预测，即使是粗略的，如果不考虑后遗症，也就是记忆，
英文摘要：
This work deals with the new, relativistic direction in quantum econophysics, within the bounds of which a change of the classical paradigms in mathematical modelling of socio-economic system is offered. Classical physics proceeds from the hypothesis that immediate values of all the physical quantities, characterizing system's state, exist and can be accurately measured in principle. Non-relativistic quantum mechanics does not reject the existence of the immediate values of the classical physical quantities, nevertheless not each of them can be simultaneously measured (the uncertainty principle). Relativistic quantum mechanics rejects the existence of the immediate values of any physical quantity in principle, and consequently the notion of the system state, including the notion of the wave function, which becomes rigorously nondefinable. The task of this work consists in econophysical analysis of the conceptual fundamentals and mathematical apparatus of the classical physics, relativity theory, non-relativistic and relativistic quantum mechanics, subject to the historical, psychological and philosophical aspects and modern state of the socio-economic modeling problem. We have shown that actually and, virtually, a long time ago, new paradigms of modeling were accepted in the quantum theory, within the bounds of which the notion of the physical quantity operator becomes the primary fundamental conception, description of the system dynamics becomes discrete and approximate in its essence, prediction of the future, even in the rough, is actually impossible when setting aside the aftereffect i.e. the memory.
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