Irreducibility

There are different types of representations that could be reducible and irreducible. It is particularly relevant in Group Theory, Quantum Mechanics. If this statement about quantum mechanics is a science of the irreducible observation or representation, then, the entanglement,superposition, and uncertainty as three separated ideas that describes quantum mechanics must be inter-connected and irreducibly combined to talk about the properties of systems being described by quantum mechanics.

In the video by Gabriele Carcassi, the notion that all quantum systems are irreducible. It appears that this statement is directly tied to the idea of uncertainty principle, which should have been called:observable precision principe. This explanation can be related to the notion of commutator as explained by Brandon Sandoval.

the term "uncertainty principle" is not a perfect name for the principle, as it implies a fundamental limit to our ability to measure certain properties of a particle, when in reality the limit arises from the wave-like nature of particles and the relationship between position and momentum in quantum mechanics, "measurement disturbance principle" or "wave-particle duality principle" could be a better term to describe it.

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