Well you don't get observations of Higgs, but atmospheric collisions are observed. That's how some experiments were done before particle accelerators, the Pion was discovered with photographic emulsion and a balloon. The ATLAS detector at the LHC can detect cosmic Muons, and I think I read somewhere that it was going to be calibrated using those detections. So you would think that if those collisions were capable of producing Higgs, that the LHC would just be another source and not change much. Yet Nielsen and Ninomiya have the future influence theory in Despanan's link. So it would seem as though their theory suggests a difference between cosmic interactions, and those in the LHC. Their papers suggest that it's the number of Higg's in the universe rather than humans being able to observe them that causes this influence. Though even they don't think there is much of a chance of their theory being correct.
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