A unified interpretation of super plastic flow (SPF) and cosmic micromechanics in spatially extended single and polycrystalline systems (SESPS) allows determined that the nature of the hyperbolic granular flow in SESPS is assisted by the movement of dislocations as the pattern of the inner dimension flow. Consequently in this work a mathematical model related with relativistic cosmology and quantum mechanics is used in order to obtain the activation energy for super plastic flow in SESPS. This correspondence law between SPF and cosmic micromechanics is important in the light of recent cosmological theories of the existence of dark matter and dark energy in the cosmic structure, because in this new interpretation of the universe the planets, stars, galaxies, clusters of galaxies, etc., are considered as precipitates on dislocations in the cosmic structure, which is formed in a nature way by the dark matter and dark energy, in a similar form of precipitates on dislocations in a SESPS of metals. Physically in this context the expansion process of the universe is highly dependent upon the volume fraction, size and distribution of precipitates on dislocations in the cosmic structure. Therefore, in this work the main results obtained in cosmic micromechanics and cosmic macromechanics are related with the Max Planck’s scale (MPE) and Edwin Hubble’s scale (EHS) respectively.