I will most possibly be wrong, but here is my general interpretation of the phenomenon described in the article.
First the theory deals with the energy possessed by a crystallined chunk of matter. This article claims that when mass is first created, everything inside that quanta of matter (i.e. atoms, protons, electrons) organizes themselves into spatial three dimensional lattices under various rules of laws of physics. Amongst one of the most important rules at play here is the law that no two discrete units of that matter can occupy the same space at the same time. This is as simple as saying Atom A cannot share the same space as Atom B at the same time. The laws of physics forces the discrete unit Atom A to have a different point in the lattice than Atom B and this is called Spatial symmetry breaking. i.e. all discrete mass units will each have a specific set of positional choices where they can potentially exist within that spatial lattice.
Now the article claims that there exists a phenomenon called temporal symmetry breaking too. The article is not clear about this, but I believe this temporal symmetry breaking refers to a process which forces any atom in a lattice to preserve its energy state by reorienting its spatial symmetry bonding in a time discrete manner. The simple explanation of this means that if within a lattice, atom A is at energy level X and atom B is at energy level Y, then there will definitely be both a spatial and temporal limit to the energy that entire lattice will possess.
The whole concept can be thought of as saying because Atom A has energy level X, it is spatially bonded to Atom B at the energy level Y.
Here within this lattice, both atom A and B can reorient the bond of their crystalline lattice in either spatial or temporal sense without any additional energy added to them, how?
Due to Spatial Symmetry breaking, the atoms A and B are forced to choose discrete values for their positional bonding inside the lattice as a product of their individual time bound energy states, X and Y respectively.
Due to Temporal Symmetry breaking, the atoms A and B are forced to choose discrete time dependent energy states dependent on the characteristics of the spatial positional bond between them within the lattice at the moment.
So the trick here is that Atom A 's time and spatial bound energy state can change, but that change gets compensated by the change in Atom B's own state. So there is no net energy loss or gain for the lattice itself. But the lattice can itself keep reorganizing itself, changing its own internal configuration due to the play of the temporal and spatial symmetry breaking in the atoms within its lattice. I suspect that this behavior is being mistaking interpreted as perpetual energy. It may turn out to be nothing more than the law of conservation of inertia/massenergy at play in the quantum scale.
