A radioactive nucleus, initially at rest in the lab frame, undergoes alpha decay into a daughter nucleus and an alpha particle. Observer A is in the lab frame; observer B moves at constant nonzero velocity u relative to A. Each observer computes, for the decay event, the following three quantities:
(I) The change in momentum of the daughter nucleus, Δpd.
(II) The change in kinetic energy of the daughter nucleus, ΔKd.
(III) The total change in kinetic energy of the system (daughter + alpha), ΔKtot.
Which of these quantities must have the same value for both observers, regardless of u?