  where pi denotes the i-particle of the L-apparatus pointer, and |up&gt;pi (|down&gt;pi) is the state of the i-particle being in the position corresponding to the outcome z-spin ‘up’  (‘down’).[10]  The chance that at least one of the vast number of the pointer's particles will endure a spontaneous localization toward being in the position corresponding to either the outcome z-spin ‘up’ or the outcome z-spin ‘down’ within a very short time (a split of a micro second) is very high. And since all the particles of the pointer and the particle pair are entangled with each other, such a collapse will carry with it a collapse of the entangled state of the pointer of the L-apparatus and the particle pair toward either