A shaft seal arrangement with a shaft extending along an axis and with a stator, wherein a rotating sealing ring is arranged on the shaft and a static sealing ring is arranged on the stator, wherein the rotating sealing ring has a rotating sealing surface and the stationary sealing ring has a stationary sealing surface, wherein these sealing surfaces are arranged in such a way that they are located opposite one another in a sealing manner in a substantially radial sealing plane, wherein the shaft seal arrangement forms a contactless gas seal, wherein at least one of the sealing surfaces has a nonrotationally symmetrical surface contouring the rotating sealing ring is provided.