Tornadogenesis mechanism is still unsolved in spite of a great advancement of observation and computer technologies in the last several decades, causing error in forecast and insecurity and disaster on lives and properties. I would like to focus in this talk, on mechanism of tornadogenesis, especially on the un-clarified mechanism of transition of supercell (or non-supercell) to tornado, based on the $B!H(BEntropic Balance Theory$B!I(B. It was developed by the unconventional approach in meteorology, but common in theoretical physics, namely variational formalism as a theoretical experiment. The entropic balance theory was found significant agreement with key features of supercell storms and tornadoes obtained from a number of the analyses of variety of observations over decades, and successful numerical simulations such as by Noda and Niino (2002, 2009). It is reported in a chapter of the proceedings of an international symposium published by Springer-Verlag in March 2009. The entropic balance theory explains well the unique mechanisms such as overshooting of hydrometeors against the head-wind westerlies, mesocyclone, hook echo, storm rear- downdraft and existence of steady state solution, like a nonlinear attractor, of tornadic vortex in entropic balance. In a further development of the entropic balance theory, I found a new form of helicity, which explains the results of the successful numerical simulation, more logically than Lilly$B!G(Bs helicity for supercell and tornado development. The Lilly$B!G(Bs model uses stream function (rotational component) only, while the entropic balance theory uses both rotational and irrotational components which play important roles for the transition from supercell (or non-supercell) to tornado. The new form proposes $B!H(Bwrap-around mechanism$B!I(B for the transition. The mechanism is physically and thermodynamically better than the Leslie$B!G(Bs dynamical pipe effect mechanism which was developed on the Boussinesq approximation. The wrap-around mechanism shows dynamical and thermodynamical process of the transition, because of the development of axial-symmetry along the vertical axis of the small horizontal scales of O(10m) and temporal scales of O(1min) in a storm. The transition is characterized by that from baroclinic to barotropic environment by wrapping around the singularity type of baroclinic core. The entropic balance theory seems to support the Yamagata$B!G(Bs dipole theory and tele-connection theory of global circulation.