In a closed system, deterministic dynamics perfectly retains information about the state of the atmosphere, assumed to be perfectly known at the initial time, suggesting infinite predictability. In reality, incoming solar radiation, however, injects variance with unknown quantum characteristics that act as noise, destroying information first on the smallest scales. Through the upscale propagation of energy, noise eventually affects all parts of the system. When the total energy in the atmosphere is entirely replaced, any predictability as defined above is completely exhausted.