The concept of entanglement in quantum mechanics is indeed fascinating and can appear to involve "spooky action at a distance." However, it is important to note that the observed results of measurements on entangled particles are fundamentally probabilistic and cannot be predetermined.
When two particles become entangled, their quantum states become correlated in such a way that the measurement of one particle instantaneously affects the state of the other particle, regardless of the distance between them. This phenomenon has been confirmed through numerous experiments.
The key aspect of entanglement is that the outcomes of individual measurements on the entangled particles are unpredictable. Quantum mechanics only allows for the calculation of probabilities for the different measurement outcomes. It is impossible to determine the exact outcome of a measurement on one particle based solely on the state of the other particle. The observed results can only be probabilistically predicted.
This probabilistic nature of quantum mechanics was famously expressed by physicist Werner Heisenberg in his uncertainty principle, which states that there are inherent limits to our knowledge of certain pairs of physical properties of a particle. This uncertainty extends to measurements on entangled particles, and the outcomes are not predetermined at the time of entanglement.
In experiments testing entanglement, the measurement results on one particle are found to be randomly distributed, regardless of the distance between the entangled particles. This randomness is an intrinsic feature of quantum mechanics and is not the result of hidden variables or predetermined states.
Therefore, the phenomenon of entanglement does involve a non-local correlation between particles, which may seem counterintuitive. However, it does not allow for the transmission of classical information faster than the speed of light or violate causality, as the specific measurement outcomes are fundamentally indeterministic and cannot be predetermined.