所有时空尺度动力系统的混沌、量子力学和引力的一般系统理论
A General Systems Theory for Chaos, Quantum Mechanics and Gravity for Dynamical Systems of all Space-Time Scales
摘要:
非本地连接,即。e.宏观尺度动力学系统也将所观察到的量子系统的亚原子动力学所固有的长程时空相关性表现为自相似分形时空波动,并将其识别为自组织临界性。作者发展了一个适用于所有时空尺度动力系统的观测到的自组织临界性的一般系统理论,其基础是封闭的小尺度波动的空间积分导致大涡旋环流的形成。因此,根据中心极限定理,涡流能量谱表示统计正态分布。涡旋的加性振幅,当平方(方差或涡旋动能)时,代表统计正态(概率)分布,这是在量子系统的亚原子动力学中观察到的结果。该模型预测开普勒定律的行星运动的涡旋环流动力学。因此,平方反比引力定律适用于从亚原子到宏观尺度动力系统的涡旋连续体,例如天气系统。该模型类似于亚原子动力学的超弦模型,它统一了量子力学和经典概念,物质的表现形式被可视化为弦状能量流模式的振动模式。涡旋环流层次中的向心力的累积和可导致所观察到的涡旋惯性质量之间的引力平方反比定律形式。
英文摘要:
Non-local connections, i. e. long-range space-time correlations intrinsic to the observed subatomic dynamics of quantum systems is also exhibited by macro-scale dynamical systems as selfsimilar fractal space-time fluctuations and is identified as self-organized criticality. The author has developed a general systems theory for the observed self-organized criticality applicable to dynamical systems of all space-time scales based on the concept that spatial integration of enclosed small-scale fluctuations results in the formation of large eddy circulation. The eddy energy spectrum therefore represents the statistical normal distribution according to the Central Limit Theorem. The additive amplitudes of eddies, when squared (variance or eddy kinetic energy), represent the statistical normal (probability) distribution, a result observed in the subatomic dynamics of quantum systems. The model predicts Kepler's laws of planetary motion for eddy circulation dynamics. Inverse square law of gravitation therefore applies to the eddy continuum ranging from subatomic to macro-scale dynamical systems, e.g. weather systems. The model is similar to a superstring model for subatomic dynamics which unifies quantum mechanical and classical concepts and manifestation of matter is visualised as vibrational modes in string-like energy flow patterns. The cumulative sum of centripetal forces in a hierarchy of vortex circulations may result in the observed inverse square law form for gravitational attraction between inertial masses of the eddies.
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