1. No Transfer of Classical Information:
   • While entangled particles have correlated states, measuring the state of one particle does not transmit any usable information to the observer of the other particle. The measurement outcomes are random, and only when the results of both measurements are compared can the entanglement correlation be observed.
2. Need for Classical Communication:
   • To make sense of the measurements, classical communication is required. Observers at both ends must compare their results using classical means, which are limited by the speed of light. This requirement ensures that any information transfer is bound by relativistic constraints.
3. Randomness of Measurement Outcomes:
   • The outcomes of measurements on entangled particles are inherently random. Even though the results are correlated, one cannot control the outcome of a measurement on one particle to send a specific message to the other. This randomness prevents the encoding of meaningful information in the measurements.
4. No Signaling Theorem:
   • The principles of quantum mechanics include the no-signaling theorem, which states that quantum entanglement cannot be used to transmit information faster than the speed of light. This theorem preserves causality and ensures that information transfer is consistent with the theory of relativity.
5. Relativity and Causality:
   • Allowing faster-than-light communication would violate the principles of relativity, which state that information cannot travel faster than the speed of light. This would lead to paradoxes, such as information being received before it was sent, undermining causality.
6. Quantum Decoherence:
   • Maintaining entanglement over long distances is challenging due to decoherence, where interactions with the environment can disrupt the entangled state. Practical issues in preserving entanglement further complicate the idea of using it for instantaneous communication.

In summary, quantum entanglement involves correlations between particles that manifest instantaneously, but these correlations cannot be used to transmit information faster than light. The need for classical communication to compare measurements, the randomness of measurement outcomes, and the fundamental principles of quantum mechanics and relativity all prevent the use of entanglement for instantaneous messaging.

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