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It is shown that the non-equilibrium electrically neutral and relativistically invariant vacuum-like state with the negative energy density and positive pressure may exist at the non-zero temperature in the system of spinor particles, antiparticles, and random electromagnetic field generated by particle-particle, particle-antiparticle, and antiparticle-antiparticle transitions. At the temperature of the order of 10 −5 K, the energy density of its state corresponds to the dark energy density indoi:10.4236/jhepgc.2016.23028 fatcat:jiuqnpnocfhpzgwffpmyprlfre