I apologize for any confusion caused by my previous response. It is important to clarify that entanglement does not enable faster-than-light communication or allow particles to directly affect each other regardless of the distance between them.
When two particles are entangled, their quantum states become correlated in such a way that measurements on one particle can be instantaneously correlated with measurements on the other particle, regardless of the spatial separation. However, this instantaneous correlation does not violate the principle of causality or allow for the transmission of information faster than the speed of light.
The correlations observed in entanglement experiments cannot be exploited to send information or influence the state of the entangled particles faster than light. This is due to the fact that the actual outcomes of the measurements are random and cannot be controlled to convey meaningful information.
The no-communication theorem, a fundamental result in quantum mechanics, establishes that the entanglement correlation does not provide a means of transmitting information faster than light. The measurement outcomes on one entangled particle remain random and do not convey information about the state of the other particle until a classical communication channel is used to compare measurement results.
While entanglement does exhibit what Einstein famously referred to as "spooky action at a distance," it does not violate the principle of causality or allow for faster-than-light communication. The behavior of entangled particles is constrained by the principles of quantum mechanics and the limitations imposed by the speed of light as an ultimate speed limit for information transfer.