Pseudo-Hermitian Quantum Mechanics

Lately, I have been caught up with some works requiring me to extensively think about the possibilities of un-Hermitian quantum mechanics. One of these was that the existence of higher spin theories as dS/CFT, initiated by Anninos and collaborators. While I am really naive about this, I think there could be motivations to pseudo-Hermitian quantum mechanics particularly in de Sitter, and with important implications to calculating entanglement entropy. While on this topic, Jacob Barnett arXived his thesis, entitled Locality and Exceptional Points in Pseudo-Hermitian Physics a while back. The appendix of this thesis discusses many elementary aspects of the mathematics involved in the thesis. 

And on the topic of papers in dS, there is a nice paper today that I wish to read eventually: Unitary-Preserving Holography in dS$_d$ [2309.02122].