This paper uncovers a surprising connection between special relativity and probability theory through simple competitive games. By modeling contests—first as draws from an urn and then as races between exponentially distributed events—we derive expectation values that mirror the relativistic velocity addition formula. Remarkably, these probabilistic outcomes obey Einstein’s rule for combining velocities, suggesting a structural analogy between relativistic kinematics and probabilistic competition. This finding blurs the traditional divide between the deterministic framework of relativity and the stochastic nature of quantum mechanics, hinting that probabilistic principles may underpin aspects of special relativity. We provide rigorous derivations and explore implications for interdisciplinary studies in physics and probability.
Fabrice PFAFF (Thu,) studied this question.