No, entangled particles do not transmit information faster than the speed of light. The phenomenon of quantum entanglement is a peculiar property in quantum mechanics where two or more particles become correlated in such a way that the state of one particle is instantaneously related to the state of the other, regardless of the distance between them. This correlation persists even when the particles are physically separated.
While the instantaneous correlation might seem to imply faster-than-light communication, it is important to note that quantum entanglement cannot be used to transmit information. The reason is that the measurement of an entangled particle's state is random and unpredictable. Until a measurement is made on one of the entangled particles, the information about its state remains uncertain. This means that no meaningful information can be extracted or transmitted by observing the state of the entangled particles alone.
The correlation between entangled particles becomes apparent only when comparing measurement results from both particles after the fact. However, since these measurement results are random and unpredictable until the actual measurement is made, there is no way to use entangled particles to communicate information faster than the speed of light.
This limitation is in line with the principle of causality, which states that no information or influence can travel faster than the speed of light. While entangled particles can exhibit seemingly instantaneous correlations, they cannot be exploited for faster-than-light communication or violate the speed limit set by special relativity.