If a quantum-entangled particle is destroyed, it can have different consequences for the "other one" depending on the specific scenario and interpretation of quantum mechanics.
In the standard interpretation of quantum mechanics, known as the Copenhagen interpretation, the destruction of one entangled particle does not directly affect the other particle. The act of destroying or measuring one particle collapses its wavefunction, determining its state, but the state of the other particle remains uncertain until a measurement is made on it. This implies that the entanglement is no longer present, and the particles become independent.
However, there are alternative interpretations of quantum mechanics that propose different possibilities. For example, in the many-worlds interpretation, when one particle is destroyed, the universe splits into multiple branches, each corresponding to a different outcome. In one branch, the first particle is destroyed, and in another branch, the other particle continues to exist.
It's worth noting that the destruction of a particle in the context of quantum mechanics is a complex concept and not fully defined in a straightforward manner. Quantum systems are generally described in terms of probabilities and superpositions, and the notion of destruction is not as simple as it may seem in classical physics.
Overall, the fate of the "other one" in the case of destroying a quantum-entangled particle depends on the interpretation of quantum mechanics one adopts and the specific experimental setup.