Berkovich indentation loading curves are still claimed to follow the Sneddon/Love exponent 2 on the depth h. Experimentally validated is however the exponent 3/2 with linear correlation coefficients of r >0.999 or >0.9999 by analysis of published loading curves for all kinds of indentation techniques, materials, and response mechanisms. It follows that exactly 20% of the applied work is used for far reaching processes. Thus, nano- and micro-mechanical parameters should only be deduced by using the correct exponent. The applications of the exponent 3/2 to loading curves include penetration resistance, indentation energy, all kinds of phase transition, transition energy, and activation energy. The physical reason for the exponent 3/2 can now be deduced on an elementary mathematical basis. The new physics is important for data check and the analysis of multicomponent composites, such as ODS-super-alloys with multiple local transitions, etc. This is complemented by optical 3D-microscopy (up to 5000-fold).