We discuss two scenarios of emergent gravity. In one them the quantum vacuum is considered as superplastic crystal, and effective gravity describes dynamical elastic deformations this crystal. other gravitational tetrads emerge bilinear form fermionic fields. spite essentially different mechanisms gravity, these have important common property: metric field has dimension inverse square length [g...

there are many different ways to subdivide the spectrum of a bounded linear operator; some of them aremotivated by applications to physics (in particular, quantum mechanics). in this study, the relationship betweenthe subdivisions of spectrum which are not required to be disjoint and goldberg's classification are given.moreover, these subdivisions for some summability methods are studied.