Is PTsymmetric quantum theory false as a fundamental theory?
Abstract
It is shown that the toymodelbased considerations of {\em loc. cit.} (see also arXiv:1312.3395) are based on an incorrect, manifestly unphysical choice of the Hilbert space of admissible quantum states. A twoparametric family of all of the eligible correct and potentially physical Hilbert spaces of the model is then constructed. The implications of this construction are discussed. In particular, it is emphasized that contrary to the conclusions of {\em loc. cit.} there is no reason to believe that the current form of the $\mathcal{PT}$symmetric quantum theory should be false as a fundamental theory.
 Publication:

arXiv eprints
 Pub Date:
 April 2014
 DOI:
 10.48550/arXiv.1404.1555
 arXiv:
 arXiv:1404.1555
 Bibcode:
 2014arXiv1404.1555Z
 Keywords:

 Quantum Physics;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 8 pages, extended critical comment on letter "Local PT symmetry violates the nosignaling principle" by YiChan Lee et al, Phys. Rev. Lett. 112, 130404 (2014)