Anthropic Selection of Physical Constants, Quantum Entanglement, and the Multiverse Falsifiability

This paper evaluates some important aspects of the multiverse concept. Firstly, the most realistic opportunity for it which is the spacetime variability of the physical constants and may deliver worlds with different physics, hopefully fulfilling the conditions of the anthropic principles. Then, more esoteric versions of the multiverse being the realisation of some abstract mathematics or even logic. Finally, it evaluates the big challenge of getting any signal from "other universes" using recent achievements of the quantum theory.
Comment: 21 pages, 2 figures