A method and technical execution, for the chemical and residue-free cleaning, hygienization, disinfection and odor neutralization of surfaces, materials, and objects by means of a high-pressure cleaning device and an electrolysis generators using electrolyzed cold or warm water, with the aid of oxidative groups, characterized in that the method, in combination with high pressure and oxidative radicals produced by electrolysis from salt ion-containing water, in total group concentrations of at least 35 ppm and higher, is able to not only clean surfaces, materials, and objects, but also to disinfect them, and is able to, by means of cold oxidation, in the form of ultrafast superoxidation, to eliminate 99.9% of microorganisms such as viruses, gram-positive and gram-negative bacteria, yeasts, fungi, algae and protozoa organisms and the like, without forming resistances in the microorganisms or pathogens.