Astroparticle Physics: Puzzles and Discoveries
V. Berezinsky

TL;DR
This paper discusses historical and current puzzles in astroparticle physics, focusing on the UHECR spectrum features and the cosmological constant problem, highlighting recent observational insights and ongoing theoretical challenges.
Contribution
It reviews the evolution of key puzzles in astroparticle physics, presents recent spectral features related to UHECR interactions, and critically examines proposed solutions to the cosmological constant problem.
Findings
Features of cosmic ray interactions with CMB are observed in the spectrum.
The GZK cutoff and dip are now identifiable in cosmic ray spectra.
The cosmological constant problem remains unresolved, with the anthropic approach discussed.
Abstract
Puzzles often give birth to the great discoveries, the false discoveries sometimes stimulate the exiting ideas in theoretical physics. The historical examples of both are described in Introduction and in section ``Cosmological Puzzles''. From existing puzzles most attention is given to Ultra High Energy Cosmic Ray (UHECR) puzzle and to cosmological constant problem. The 40-years old UHECR problem consisted in absence of the sharp steepening in spectrum of extragalactic cosmic rays caused by interaction with CMB radiation. This steepening is known as Greisen-Zatsepin-Kuzmin (GZK) cutoff. It is demonstrated here that the features of interaction of cosmic ray protons with CMB are seen now in the spectrum in the form of the dip and beginning of the GZK cutoff. The most serious cosmological problem is caused by large vacuum energy of the known elementary-particle fields which exceeds at…
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