 where \(h_i\) is near \(H\), and \(t_i\) is near \(T\). The states appearing in first term on the right-hand side of equation (4) are different from zero only when their arguments \((1,\ldots ,N)\) are all near \(H\), while those of the second term are different from zero only when they are all near \(T\). It is now evident that if any of the particles (say, the \(i\)-th particle) undergoes a hitting process, for example around \(h_i\), the multiplication prescription leads practically to the suppression of the second term in (4). Thus, any spontaneous localization of any of the constituents amounts to a localization of the pointer. The hitting frequency is therefore effectively amplified proportionally to the number of constituents. Notice that, for simplicity, the argument refers to an almost rigid body, one for which all particles are around \(H\) in one of the states of the superposition and around \(T\) in the other state. It should however be obvious that what really matters in amplifying the reductions is the number of particles which are in different positions in the two states appearing in the superposition itself.