Is there a relativistic Gorini-Kossakowski-Lindblad-Sudarshan master equation?

The celebrated GKLS master equation, widely called just the Lindblad equation, is the universal dynamical equation of nonrelativistic open quantum systems in their Markovian approximation. It is not necessary and perhaps impossible that GKLS equations possess sensible relativistic forms. In 2017, in a lucid talk on black hole information loss paradox, David Poulin argued for a Lorentz invariant GKLS master equation proposed by Alicki, Fannes, and Verbeure in 1986. The equation is really puzzling. A closer look uncovers a smartly hidden defect that leaves us without Lorentz invariant Markovian master equations. They, in view of the present author, should not exist.

Automated summary

The celebrated GKLS master equation, known as the Lindblad equation, serves as the universal dynamical equation for nonrelativistic open quantum systems in their Markovian approximation. However, it is uncertain whether GKLS equations can have sensible relativistic forms. In 2017, Poulin proposed a Lorentz invariant GKLS master equation, but further investigation reveals a hidden defect that prevents the existence of Lorentz invariant Markovian master equations.