Fractal Resonance of Energy Breathing Across Scales

This paper investigates a universal pattern of energy cycles across different physical scales. Analysis of twelve initially examined systems—ten of which met the validity criteria—ranging from atmospheric discharges to galactic accretion processes, demonstrates a consistent ratio between the energy accumulation phase (T₁) and emission phase (T₂). The average value of this ratio is R = T₂/T₁ = 2.09 ± 0.29, ranging from 1.67 to 2.67. This ratio is interpreted through the thermodynamic principle of minimum entropy production and connected to the Quantum Dual Symmetry (KDS) Model via the concept of projection asymmetry between the R-domain (energy realization) and the L-domain (temporal manifestation). The paper provides an explicit mathematical derivation of R from fundamental thermodynamic principles, proposes five experimental tests for empirical validation, and discusses the philosophical implications of fractal connectivity across more than twenty orders of magnitude in time. Supplementary material: An interactive scientific visualization module (“Fractal Breathing Diagram”) reproduces the datasets, equations, and proportional relations presented in this report.