The Ouroboros Mutual Consumption Theorem

This work introduces the Ouroboros Mutual Consumption Theorem, a new result describing the exact condition under which two entities consuming each other from opposite ends annihilate completely. We prove that complete mutual annihilation occurs if and only if the ratio of the entities’ initial lengths equals the ratio of their consumption speeds, expressed as L1*v2 = L2*v1. This theorem provides a formal mathematical framework for analyzing symmetric mutual consumption processes, with potential applications in dynamical systems, competition models, and reaction kinetics. Keywords:ouroboros, mutual consumption, annihilation, dynamical systems, mathematics, theorem