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Schematic view of the preshower effect observed by gamma-ray telescopes; in the geomagnetic field, an ultra-high-energy photon is converted into an e + /e − pair, which radiate synchrotron photons. A CRE composed of thousands of photons and a few electrons/positrons reaches the top of the atmosphere within a few square centimeters. An EAS is subsequently produced and, due to the high zenith angle observation mode, the electromagnetic and hadronic components are mostly absorbed. The surviving muonic component emits Cherenkov radiation which can be detected by ground-based Imaging Cherenkov Telescopes [153].

Schematic view of the preshower effect observed by gamma-ray telescopes; in the geomagnetic field, an ultra-high-energy photon is converted into an e + /e − pair, which radiate synchrotron photons. A CRE composed of thousands of photons and a few electrons/positrons reaches the top of the atmosphere within a few square centimeters. An EAS is subsequently produced and, due to the high zenith angle observation mode, the electromagnetic and hadronic components are mostly absorbed. The surviving muonic component emits Cherenkov radiation which can be detected by ground-based Imaging Cherenkov Telescopes [153].

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The Cosmic-Ray Extremely Distributed Observatory (CREDO) is a newly formed, global collaboration dedicated to observing and studying cosmic rays (CR) and cosmic-ray ensembles (CRE): groups of at least two CR with a common primary interaction vertex or the same parent particle. The CREDO program embraces testing known CR and CRE scenarios, and prepa...

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... one might consider alternative observables and alternative infrastructures, more sensitive to electromagnetic multi-primary EAS origins, e.g., those connected with Cherenkov emission induced by air shower particles and being observed by gamma-ray telescopes. A study in this direction was presented in Ref. [153], where the authors analyze the feasibility of detecting preshower-induced EAS using Monte Carlo simulations of nearly horizontal air showers for the example of the La Palma site of the Cherenkov Telescope Array (CTA), as illustrated in Figure 5. ...

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... One of the main challenges of this approach is the need to avoid enormous training data sets that would result computationally expensive. That is precisely the case of Monte Carlo (MC) generators like CORSIKA [18]. A recent study has shown that the Nakamura-Kamata-Greisen (NKG) distribution can capture the main features of full-fledged simulations. ...
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... Well-known examples include the famous discovery of the cosmic microwave background (CMB; Penzias & Wilson 1965) and the more recent observation of the Fermi bubbles (Dobler et al. 2010;Su et al. 2010). A globally distributed network of cosmic-ray sensors is a novel instrument for the exploration of cosmic rays (DECO 2012; Homola et al. 2020), with the potential to reveal unexpected or previously unobserved planetscale phenomena such as widely separated simultaneous extensive air showers. ...
... Comparatively smaller-scale and higher-cost campaigns to detect simultaneous showers have been ongoing for the past 50 yr (Fegan et al. 1983;Carrel & Martin 1994;Kitamura et al. 1997;Unno et al. 1997;Potgieter et al. 1998;Kieda et al. 1999;Kampert et al. 2001;Ochi et al. 2001; also see Appendix). A truly global network of dedicated devices would seem to be prohibitively expensive; however, the foundation for crowdsourcing consumer smartphones to detect extensive air showers has been laid previously by multiple collaborations (Whiteson et al. 2016;Meehan et al. 2017;Homola et al. 2020). The physical, electrical, and enclosing attributes of smartphone camera chips differ significantly from those of silicon detectors used in particle experiments as the former are optimized solely to be photoelectric transducers. ...
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