Reversibility in Isolated Systems and the Foundations of Fractal Dynamics
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The apparent contradiction between quantum mechanics and the second law of thermo?dynamics fundamentally stems from the opposition between dynamical reversibility andstatistical irreversibility. This paradox can be traced back to the classical debates sur?rounding Loschmidt’s paradox and Poincar´e’s recurrence theorem. Recent advancementsin quantum information theory have provided new tools to explore this issue. This frame?work proposes integrating fractal geometry with quantum dynamics to uncover intrinsicmechanisms of irreversibility within unitary evolution systems. The following outlines asystematically reconstructed research approach.
