Evidence for hyperconductivity and thermal superconductivity
  Physical explanation of hyperconductivity and thermal superconductivity existence is done in given article on the basis of inherent atomic nuclei oscillations in atoms of materials which are connected with electrons and phonons and in accordance with the well known Bardeen-Cooper-Schrieffer superconductivity theory.   It is shown that hyperconductivity is the self-supporting, independent physical phenomenon which is caused by oscillations of atomic nuclei in atoms of materials and the minimal temperature of its existence does not reach absolute zero temperature. Hyperconductivity represents the typical dynamic condition of a material with zero electrical and zero thermal resistances. 
V.A.Vdovenkov