SonOfOnett

SonOfOnett t1_j22snxg wrote

The problem with your argument is you are saying Alice is going to measure a 1: that’s a hidden variable you are introducing into the thought experiment! In reality and experiment, regardless of who measures first, we don’t know what the outcome of that first measurement will be.

You need to stop after stating that Bob and Alice’s particles are entangled to have the same measurement. Given that, neither observer, no matter how close in time to the start of the entanglement will know what they are going to measure, just that their measurements will match.

Veritasium has a decent video on Bells Inequality that may be useful to you as well. It explains how we can tell the difference between a local hidden variable or not

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