This feature came from trying to resolve the classical mechanics prediction that any object with a temperature should radiate infinite energy. The solution—quantization—set discrete minimum threshold amounts of energy and other properties that objects could have. Applying quantization to experiments involving light and atoms led to all objects simultaneously being mathematically described as extended waves and localized particles.
Although this "fuzziness" introduced uncertainty into experimental outcomes—scientists can only predict the probability of outcomes rather than determine definitive results—quantum mechanics has been thoroughly experimentally verified, accurately modeling atoms and predicting the existence of antimatter four years before its discovery.