Time does not exist, only matter in motion

Without the supporting mathematical proof, I postulate that time does not exist. Only matter (or energy) exists. To measure time, you need at least 3 particles: A, B and C. Particle A is our reference, let’s say it is stationary. Particle B moves along a cyclical path. One cycle around the path followed by B represents the smallest unit of time. Particle A can measure the motion of C by observing B and C. If particle B stops moving, particle A can no longer measure the motion of C: it could measure its distance, but without the cyclical movement of B, it has no way of measuring the velocity of C. If the three particles exist without motion, there is no time to be measured, because there is no cyclical motion. Time emerges from the cyclical motion of at least one particle in a universe of at least 3 particles. Is time a fundamental property of the physical world? Not according to this reasoning. That is not a reason to miss lunch however.