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In quantum mechanics, the impossibility of localizing in both position and momentum simultaneously is a corollary of the more fundamental principle of wave-part
by civilized 4y ago
In quantum mechanics, the impossibility of localizing in both position and momentum simultaneously is a corollary of the more fundamental principle of wave-particle duality:
1. Everything has both particle and wave characteristics.
2. Position comes from looking at the thing from the particle perspective, while momentum comes from looking at the thing from the wave perspective.
3. It's mathematically impossible for a thing to be a "perfect" point particle and also a "perfect" wave (i.e. a sine function).
Wikipedia covers this well: https://en.wikipedia.org/wiki/Uncertainty_principle https://en.wikipedia.org/wiki/Uncertainty_principle
> the uncertainty principle is inherent in the properties of all wave-like systems... it arises in quantum mechanics simply due to the matter wave nature of all quantum objects. Thus, the uncertainty principle actually states a fundamental property of quantum systems and is not a statement about the observational success of current technology.