You can work in projective space or with any representative in the full space, or keeping track of global phases, it really doesn't make any difference. But all physicists are aware of this afaik. As you say, it is well…
Most likely yes. The difficult part about such a claim is just having a quaternionic QM theory that is composable and interesting.
Yes, the (very nice) game you described gives a separation between classical and quantum mechanics. However, there is a strategy in real quantum mechanics which also achieves a 100% winrate for the players (you just…
You can work in projective space or with any representative in the full space, or keeping track of global phases, it really doesn't make any difference. But all physicists are aware of this afaik. As you say, it is well…
Most likely yes. The difficult part about such a claim is just having a quaternionic QM theory that is composable and interesting.
Yes, the (very nice) game you described gives a separation between classical and quantum mechanics. However, there is a strategy in real quantum mechanics which also achieves a 100% winrate for the players (you just…