Is "Quantum principle of relativity'' complete?

Ryszard Horodecki

Published 2023-01-18Version 1

Dragan and Ekert in the paper New. J. Phys. \textbf{22} 033038 (2021) presented ``quantum principle of relativity'' (QPR) based on Galileo's principle of relativity, which involves both superluminal $G_S$ and subluminal $G_s$ families of observers and argue that then they are considered on the same footing it ``implies the emergence of non-deterministic dynamics, together with complex probability amplitudes and multiple trajectories.''. Here I discuss QPR in the context of Heisenberg's classification of the fundamental physical theoretical models under the role universal constants of nature: Planck's constant $\hslash$ and speed of light $c$. In particular I point out that the above conclusion is overestimated as both the superluminal and subluminal branches are separable in the sense that there is no mathematical coherent formalism that connect both branches of $G_S$ and $G_s$ together.