Introducing Smart Symmetries with application to gravity related radiation

Abstract: Local one-parameter ǫ point symmetries do not always lead to readily integrable results. To address this here, a secondary infinitesimal parameter ω is introduced, leading to what we term smart symmetries. These enable the transformation of the integrals into limit expressions, much like Cauchys contour integration. As proof of validity, we use these type of symmetries to develop a procedure for determining frequencies for detecting any material, depending on the elements constituting it, including metals such as Copper, Silver, Gold and Platinum. Here, we give the frequency for Platinum.