Nonlocal entanglement of quantum mechanics suggests the existence of instantaneous communication between distant particles. Related to this, one often hears the following argument: Argument 1: "If the communication is instantaneous in one Lorentz frame, then it is not instantaneous in any other Lorentz frame. Therefore, there is a preferred Lorentz frame with respect to which the communication is instantaneous. Consequently, the principle of relativity is violated." However, such reasoning is completely incorrect. The simplest way to see this is to consider the following reasoning about classical relativistic mechanics where all massive particles move slower than light: Argument 2: "If a particle moves slower than light, then there is a Lorentz frame in which it is at rest. Therefore, there is a preferred Lorentz frame with respect to which the particle is at rest. Consequently, the principle of relativity is violated." Of course, Argument 2 is erroneous. But my point is that Argument 2 is completely analogous to Argument 1. In other words, Argument 1 is erroneous for the same trivial reason as Argument 2. In both cases, a "special" Lorentz frame does NOT need to refer to ALL particles, but at each time each particle may have another its own "special" Lorentz frame. In other words, the "special" Lorentz frame is not special at all. An explicit realization of instantaneous communication without a preferred Lorentz frame is provided by Lorentz-covariant Bohmian mechanics: http://xxx.lanl.gov/abs/0811.1905 [Int. J. Quantum Inf. 7 (2009) 595] Whatever you may think on Bohmian mechanics in general, this paper provides an explicit counterexample to the frequent claim that superluminal communication necessarily violates the principle of relativity. Perhaps it violates something else (like some versions of the causality principle), but not the principle of relativity. What do you think?