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А. П. Кирилюк
«Самосогласованная космология, динамическая относительность и каузальная квантовая механика как объединённые проявления симметрии сложности»
437–517 (2013)

PACS numbers: 03.30.+p, 03.65.Ta, 05.45.-a, 05.65.+b, 89.75.-k, 95.35.+d, 98.80.Bp

The universal symmetry (or conservation) of complexity underlies any law or principle of system dynamics and describes the unceasing transformation of dynamic information into dynamic entropy as the unique way to conserve their sum—the total dynamic complexity. In a given article, the real world structure emergence and dynamics are described as manifestation of the universal symmetry of complexity at its lowest levels (from elementary particles to nanoscale systems), starting from homogeneous interaction between two protofields. It provides the unified complex-dynamical, causally complete origin of physically real 3D space, time, elementary particles, their properties (mass, charge, spin, etc.), quantum, relativistic, and classical behaviours as well as fundamental-interaction forces including naturally quantized gravitation. The old and new cosmological problems (including ‘dark’ mass and energy) are basically solved for this explicitly emerging, self-adjusting world structure characterised by strictly positive (and large) energy–complexity. A general relation is obtained between the numbers of world dimensions and fundamental forces, excluding plausible existence of hidden dimensions. The unified, causally explained quantum, classical, and relativistic properties (and types of behaviour) are generalised to all higher levels of complex world dynamics. The real world structure, dynamics, and evolution are exactly reproduced by the probabilistic dynamical fractal, which is obtained as the truly complete general solution of an unreduced problem and the unique structure of the new mathematics of complexity. Particular, problem-solving applications of always exact, but irregularly structured symmetry of unreduced dynamic complexity to microworld dynamics are outlined, including particle physics, genuine quantum chaos, real nanobiotechnology, and reliable genomics.