I was reading an interesting book from cosmomogist Viatcheslav Mukhanov Physical Foundations of Cosmology and I had a specific question about it:
It is usually said that energy conservation is difficult to define in cosmological scales since, for example, dark energy density appears to be constant in each point of space, so its total energy increases as the universe expands.
In section problem 8.10, Mukhanov mentions that cosmological perturbations can "violate" energy conservation and be excited (therefore, gaining energy) from the Hubble flow. Also,in this article Mukhanov says:
Since the primordial fluctuations were obtained as a result of the amplification of initially Gaussian quantum fluctuations by the external classical source (they acquired energy from the Hubble expansion), the resulting gravitational potential must be described by a Gaussian random field up to the second order corrections due to the nonlinearity of the Einstein equations
I had a question about this technical aspect:
Has this phenomenon been observed or experimentally verified? Can any types of perturbations (or anything else) actually gain energy fron the Hubble expansion?