Is the future inevitable?

I think that's my cue. All electrons are identical.

This question has come up before and we got some answers back when cavediver and Son Goku used to post here regularly. Here is a partial answer:Bell's theorem - Wikipedia

quote:

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Bell's theorem states that any physical theory that incorporates local realism cannot reproduce all the predictions of quantum mechanical theory. Because numerous experiments agree with the predictions of quantum mechanical theory, and show differences between correlations that could not be explained by local hidden variables, the experimental results have been taken by many as refuting the concept of local realism as an explanation of the physical phenomena under test. For a hidden variable theory, if Bell's conditions are correct, the results that agree with quantum mechanical theory appear to indicate superluminal effects, in contradiction to the principle of locality.

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I am having difficulty following your premises here to your conclusion that there is randomness in the universe. Why would we not observe the same thing if the universe were pseudo random with hidden variables just like the random number generator in a computer?

Everyone would agree that dice rolls are random. But once they see where you are going with the physics, they should want to back out of that agreement. Dice rolls are close enough to random to make allow gambling on the outcome.On the other hand, nuclear decay timings apparently are truly random with probabilities that are governed by the laws of physics.

Events can be random individually, but in the aggregate lead to predictable behavior. The motion of individual molecules of a gas can be random, but the pressure exerted by the gas on the container might still obey gas laws. Radioactive decay may be completely random on the nuclear scale, but the decay of a gram of radium can still be predicted accurately using half-life equations.The probability of an event occurring can be mathematically predictable, but the timing of an event on an individual scale can be utterly unpredictable.