In this paper we consider the Compton effect, the annihilation of an e
lectron-positron pair, and the decoy of the pion into a muon and a neu
trino. Until now it was believed that these phenomena could only be ex
plained by means of the theory of relativity (TR). In this paper we wi
ll show that these phenomena can also be given a comprehensive explana
tion with the theory of an absolute Euclidean space-time (AEST). For t
his we will make use of the conservation laws as they read in an AEST.
One of them is entirely new: the conservation of the proper time mome
ntum. In the classical limit it reduces to the conservation of kinetic
energy. Our approach puts the notion of ''energy'' in a new perspecti
ve. The paper will also shed new light on matters such as wave-particl
e duality, antiparticles, the element of reality in the theory of rela
tivity, and the time ordering of events. Next to this, the analysis of
the decoy of the pion leads to a new prediction for the masses of the
up quark and the down quark. The conservation of proper time momentum
turns out to be a very powerful law. In fact, a new kind of descripti
on for physical phenomena will emerge from it.