Within the EQM theory, involving the entanglement of the adsorbate motion to gravitons in high-dimensional spacetime (11D), these problems are resolved. Soft local massive gravonons, induced in the presence of the adsorbate, determine the time scale for surface diffusion. The gamma-eta-model is used for the evaluation of the soft gravonon modes. Weak and local entanglement of the adsorbate motion with a nearly degenerate graviton continuum of high density of states are the conditions for the telegraph-signal-like time development of adsorption site change. In contrast to the Copenhagen interpretation of quantum mechanics, this apparent ''classical'' behaviour of the adsorbate in 3+1 dimensional spacetime is the result of the solution of Schroedinger's time dependent equation in high-dimensional spacetime.
The theory provides values for the coupling strength and the geometry of the adsorbate-metal complex in the transient state of the deformation resonance in which entanglement to gravonons yields the experimental diffusion rates.
The geometry of the deformation resonance of the hydrogen atom on the metal surface is in exceptionally good agreement with ab initio electronic structure calculations for the same adsorption geometries, having in mind the strong distance dependence of the results in 11D-theory and the fact that the two theories have no contact points at all.
Entanglement between the adsorbate motion with environmental fields at very low temperatures cannot be achieved in 3+1 dimensions by the common excitations (phonons, tomonagons, etc.). If entanglement with the environment plays a role in these experiments, the environmental excitations have to be gravitons in D+1 dimensional spacetime (D=8,9,10,11).
Changes of the squared projection of the world wave function on the initial state with the adsorbate on site 1 of a two-site model with time. Telegraph-signal-like site changes occur at time intervals, determined by the lifetime, i.e. the energy, of the entangled soft gravonon modes.
D. Drakova and G. Doyen, J. Phys.: Conf. Series 442, 012049 (2013).