The double-slit experiment is a fundamental experiment in quantum mechanics that demonstrates the wave-particle duality of matter and the principle of superposition. It does not directly address the non-communication theorem.
The non-communication theorem, also known as the no-communication theorem, states that it is impossible to use quantum mechanical systems to communicate information faster than the speed of light. This theorem is based on the principles of causality and relativity.
The double-slit experiment involves shining a beam of particles, such as electrons or photons, through a barrier with two narrow slits and observing the resulting pattern on a screen behind the barrier. When the particles are sent through the slits one at a time, they exhibit an interference pattern, indicating their wave-like behavior. However, when detectors are placed at the slits to determine which slit each particle passes through, the interference pattern disappears and the particles behave as individual particles.
The double-slit experiment does not violate the non-communication theorem because it does not involve the transmission of information faster than the speed of light. The interference pattern or lack thereof is a result of the interaction between the particles and the measurement apparatus, not a means of transmitting information.
The non-communication theorem is a well-established principle in quantum mechanics and is supported by numerous experiments and theoretical considerations. It remains a fundamental aspect of our understanding of the limitations of communication within the framework of relativity and quantum mechanics.