Implications of a rotating mass matrix

The fermion mass matrix, in addition to having eigenvalues (masses) which run, also changes its orientation (rotates) with changing energy scales. This means that its eigenstates at one scale will no longer be eigenstates at another scale, leading to effects where fermions of different flavors can ''transmute" into one another. In this paper, the implications of a rotating mass matrix are analyzed and possible transmutation effects are investigated both in the standard model (SM) and in the so-called dualized standard model (DSM) that we advocate, arriving at the conclusion that some transmutational decays such as psi-->mu tau, Y-->mu tau or pi (0)-->e mu may be within experimental range, if not immediately, then in the near future.