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Angular correlations of ultra-high energy cosmic rays with cosmologically distant sources may provide clues to these mysterious events. We compare cosmic ray tracks with energies above to a compilation of radio-loud compact QSO positions. The statistical method emphasizes invariant quantities and a test of {\it statistical independence} of track and source distributions. Statistical independence is ruled out by several independent statistics at confidence levels of less that (.), indicating that track directions and QSO source positions are correlated at a highly significant level.

生成讲解博客的中文版本

生成AI智能校验的中文版本