Why can't entangled particles transmit information faster than the speed of light?

We try to do this. It is not difficult to make entangled photon pairs. The internal quantum state of a photon is its polarization, so we can produce polarized entangled photons. So, let's make qubit photon streams at the rate of one million entangled photons per second. Bandwidth is not much, but we need to send them to both ends of the galaxy.

In order to obtain faster communication speed than light, we must consider the lack of simultaneity between special relativity and space-like separation observers. In essence, this can be attributed to establishing some kind of communication protocol. For example, send/kloc-0.0 million photon pairs, then pause for one second and repeat the process. In this way, the distant observer only needs to detect the pause to know when the signal starts.

Its purpose is to use 1 million entangled photon streams to send information from one receiver to another at both ends of the galaxy. The distances between the sources of entangled photon streams are the same. What it does is to generate and emit entangled photon pairs in opposite directions.

Alice, one of the receivers, wants to send a message to Bob on the other side of the galaxy with entangled photons. Alice can enter the entangled photon stream. She can use a polarizing beam splitter and two detectors to measure the flow. This enables her to determine whether each photon in the photon stream is horizontally polarized or vertically polarized.

Bob can access the other end of the photon stream and use the same measuring equipment. Let's assume that they have optimized their instruments so that their polarizers are arranged in a similar way. This means that if Alice measures a horizontal photon (H), then when he measures an entangled partner, B will also.

Alice knows that streams are entangled, so she knows that if she measures an H photon, Bob will measure one. She effectively contracted the wave function at the moment of cross star distance. However, at this time, she has not sent any signal to Bob. She only knows Bob's size.

We now want to use this instant collapse to send a signal between Alice and Bob. Alice only knows the polarization of photons when she makes measurements. 50% of the time is H, otherwise it is vertical V. If Bob measures photon flow independently of Alice, for example, when Alice is asleep, he will measure H half the time, otherwise it is V.

Independent measurements by Alice or Bob will show that the probability of randomly throwing coins is H or V ... Now you should ask this question; If the random probability of producing H or V is measured independently, will the behavior of one person measuring and disintegrating the wave function actually affect the random measurement probability of another person? Can another person really detect the fact that the entangled wave function collapses?

The problem is that Alice didn't exert any control over her measurement, but she gained knowledge about Bob's measurement results. Can she communicate with this knowledge? Alice needs to modify the random measurements she observed so that they are no longer random, but carry information. If she just made a measurement, she just got what she measured and couldn't control it.