An Information Algebra of Interactions: A New Mathematical Structure for Describing Quantum Processes

This paper proposes a new approach to describing fundamental interactions, based on the concept of an information quantum – an indivisible entity whose sole property is an integer information charge. An information interaction operation $a\circ b$ is introduced, which is non-commutative and describes three fundamentally different types of processes: peaceful annexation ($a<b$), an explosion with the birth of a new particle ($a>b$) and annihilation ($a=b$).