Two tourists on a beach. If the beach is a narrow strip, the one who steps ahead grabs almost everything. If it's a wide field, both find a spot. Physicists discovered that the outcome of any race is predetermined not by speed, but by the geometry of the arena. This invisible property — the spectral dimension: it shows how entangled the possible paths are. In a corridor world (dimension less than 2), the initial advantage never fades: uncertainty is eternal. In a three-dimensional environment (dimension greater than 3), fairness arrives swiftly, like a coin flip, and the expansion of possibilities levels the playing field. In between, the wait is infinite. Modeling showed: in one-dimensional space, in about every seventh case, one gets less than 40% — such is the certainty. Thus increasing disorder doesn't always smooth out inequality; in cramped worlds, it cements it. This is a general law for bacteria, patents, algorithms. The discoveries of Einstein and Markov confirm: even random movement obeys geometry.