Can our universe be a true vacuum bubble? The paper "Spontaneous creation of the universe from nothing" by Dongshan He, Dongfeng Gao and Qing-yu Cai
claims that our universe was created by the quantum fluctuations in the metastable false vacuum which produce "true vacuum bubbles". Our universe is a true vacuum bubble according to this paper. But does not that contradict our observations? 
Our universe is not a true vacuum, it is a false vacuum according to Higgs mass.
This paper claims that the universe was created out of nothing. 
But this nothing is really something - "false vacuum". It is not nothing, this paper did not explain from where this vacuum came from in the first place. Or do they consider this vacuum as an eternal entity?
 A: I think you are mixing up two related concepts, the true and false vacua:


A scalar field φ in a false vacuum. Note that the energy E is higher than that in the true vacuum or ground state, but there is a barrier preventing the field from classically rolling down to the true vacuum. Therefore, the transition to the true vacuum must be stimulated by the creation of high-energy particles or through quantum-mechanical tunneling.

And the metastable vacuum that the symmetry breaking mechanisms need:

In the cosmological models , before the various symmetry breakings, i.e. when the energies are very high, the Higgs type metastable vacua can be considered stable/true, as there is no possible lower energy for the particles in the primordial soup to go. That is how the Higgs (and other unified models) symmetry breaking is treated within the Big Bang model. When due to the big bang expansion as the energy of the temperature of the universe fell, then the transition to the ground state of the Higgs mechanism happened. 
Creation of the Universe out of nothing is a hypothesis for the Big Bang cosmology. This paper purports to explain this mathematically, but it is way over my head. Lets hope that a theorist will give you an opinion on the value of the paper. 
