复杂性的普遍对称性及其在世界动力学不同层次上的表现
Universal Symmetry of Complexity and Its Manifestations at Different Levels of World Dynamics
摘要：
任意相互作用过程的未约化的、普遍的非微扰分析，由一个相当一般的方程描述，提供了真正完整的、“动态多值”的一般解，该解导致随机性、概率、混沌性、复杂性、分形性、自组织性和其他性质的动态导出的、普遍的定义，扩展了它们在传统的、动态单值（酉）理论（物理学/9806002，物理学/0211071）。任何真实系统的出现、结构和行为现在都可以用守恒定律或对称性定律来表达，它统一了任何（正确的）对称性、定律或“原理”的扩展版本。观察到的世界结构及其未简化的动力学都来自于普遍的、唯一的对称性，而不是在统一世界“模型”中对现有的、假设的结构正式强加分离的、破碎的和简化的对称性。任何统一的“对称性”都是规则的，因此在现实世界的动力学中实际上总是“自发地被打破”（被破坏），而复杂性的普遍对称性总是精确的，但却将不同的、不规则的、动态非线性的、内在不稳定的未约化世界结构模式结合在一起。它还提供了严格的，动态派生表达式的"时间之箭”（广义熵增长定律）适用于任何真正的，必然复杂系统，从基本粒子的宇宙。复杂性的普遍对称性的特殊应用，从基础物理学到生物学和意识理论，提供了古老的奥秘解决方案和新的研究视角。
英文摘要：
The unreduced, universally nonperturbative analysis of arbitrary interaction process, described by a quite general equation, provides the truly complete, "dynamically multivalued" general solution that leads to dynamically derived, universal definitions of randomness, probability, chaoticity, complexity, fractality, self-organisation, and other properties, extending their axiomatic introduction in the conventional, dynamically single-valued (unitary) theory (physics/9806002, physics/0211071). Any real system emergence, structure, and behaviour can be expressed now by the universal law of conservation, or symmetry, of complexity that unifies extended versions of any (correct) symmetry, law, or "principle". Both the observed world structure and its unreduced dynamics result from that universal, unique symmetry, instead of formal imposition of separated, broken and simplified symmetries upon the existing, postulated structures in the unitary world "model". Whereas any unitary "symmetry" is regular and therefore practically always "spontaneously broken" (violated) in the real world dynamics, the universal symmetry of complexity remains always exact, but unites different, irregular, dynamically nonlinear, and intrinsically unstable patterns of unreduced world structure. It also provides the rigorous, dynamically derived expression of the ``arrow of time" (generalised entropy growth law) applicable to any real, necessarily complex system, from elementary particle to the universe. Particular applications of the universal symmetry of complexity, from fundamental physics to biology and theory of consciousness, provide old mysteries solutions and new research perspectives.
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