Comment on 'Quantum principle of relativity'

Abstract

Dragan and Ekert in the paper (2020 \emph{New. J. Phys.} \textbf{22} 033038) presented 'quantum principle of relativity' (QPR) based on Galilean 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 we 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 $h$ and speed of light $c$. We point out that both the superluminal and subluminal branches are separable in the sense that there is no mathematical coherent formalism that connect both branches. This, in particular, implies that the QPR is incomplete.

arXiv commentTitle changed, slightly expanded, minor corrections

References in corpus (9)

• An open--quantum--system formulation of particle decay
• Occurrence of Tachyonic Preheating in the Mixed Higgs-$R^2$ Model
• Tachyons and the preferred frames
• Quantum principle of relativity
• Quantum information
• Spontaneous growth of gauge fields in gravity through the Higgs mechanism
• The Relativity Principle at the Foundation of Quantum Mechanics
• Galilean invariance without superluminal particles
• Comment on "Quantum principle of relativity"

Cited by in corpus (5)

• Covariant quantum field theory of tachyons is unphysical
• Lorentz transformations in 1+1 dimensional spacetime: mainly the superluminal case
• Is a covariant virtual tachyon viable?
• The relativistic reason for quantum probability amplitudes
• Does Quantum Information Require Additional Structure?