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We comment on the paper by E. B. Sonin, PRB v 85, 104516 (2012)[arXiv:1201.3188], with which we find ourselves in serious disagreement. We usethis option to shed light on some important issues of a theory of Kelvin waveturbulence, touched in E. B. Sonin's paper, in particular, on the relationbetween the Vinen spectrum of strong- and the L'vov-Nazarenko spectrum ofweak-turbulence of Kelvin waves. We also discuss the role of our explicitcalculation of the Kelvin wave interaction Hamiltonian and of the "symmetryarguments" that are supposed to resolve a contradiction between theKozik-Svistunov and L'vov-Nazarenko spectrum of weak turbulence of Kelvinwaves.

Comment on "Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T = 0 superfluid turbulence" [arXiv:1201.3188]