by Joy Christian » Tue Mar 29, 2022 12:24 am
gill1109 wrote: ↑Mon Mar 28, 2022 10:40 pm
Joy Christian wrote: ↑Mon Mar 28, 2022 4:51 am
gill1109 wrote: ↑Mon Mar 28, 2022 3:48 am
I hope the acceptance (or not) of its demise will depend on the outcome of the experiment?
If the experiment could, in principle, go either way, then we are talking about physics. But if it can only go one way we are talking about mathematics.
Indeed. The mathematics of the quaternionic 3-sphere already tells us that for any pair of settings such as {a, b}, the correlations observed in my proposed experiment will be E(a, b) = -a.b. Consequently, for four pairs of settings, the Bell-CHSH inequalities will be violated, provided the four sets of experiments are carried out independently of each other, as usually done in the Bell-test experiments.
Usually, the four sets of experiments are not carried out independently of each other. Settings are chosen at random while the particles are in flight, again and again.
In my proposed experiment, settings are not chosen at all before the data is collected, which involves measuring actual spin angular momenta for up to one million trials. Therefore settings need not be chosen for years until someone wants to analyze the data. Thus my proposed experiment is not a typical Bell-test experiment. The purpose of the experiment is to compute correlations between actual spin angular momenta by post-selecting the settings, not data.
PS: BTW, the iconic Nobel Laureate experimentalist
David Wineland once told me in a private communication that my proposed experiment is "doable."
.
[quote=gill1109 post_id=797 time=1648532411 user_id=60]
[quote="Joy Christian" post_id=791 time=1648468267 user_id=63]
[quote=gill1109 post_id=790 time=1648464511 user_id=60]
I hope the acceptance (or not) of its demise will depend on the outcome of the experiment?
If the experiment could, in principle, go either way, then we are talking about physics. But if it can only go one way we are talking about mathematics.
[/quote]
Indeed. The mathematics of the quaternionic 3-sphere already tells us that for any pair of settings such as {a, b}, the correlations observed in my proposed experiment will be E(a, b) = -a.b. Consequently, for four pairs of settings, the Bell-CHSH inequalities will be violated, provided the four sets of experiments are carried out independently of each other, as usually done in the Bell-test experiments.
[/quote]
Usually, the four sets of experiments are not carried out independently of each other. Settings are chosen at random while the particles are in flight, again and again.
[/quote]
In my proposed experiment, settings are not chosen at all before the data is collected, which involves measuring actual spin angular momenta for up to one million trials. Therefore settings need not be chosen for years until someone wants to analyze the data. Thus my proposed experiment is not a typical Bell-test experiment. The purpose of the experiment is to compute correlations between actual spin angular momenta by post-selecting the settings, not data.
PS: BTW, the iconic Nobel Laureate experimentalist [url=https://www.nobelprize.org/prizes/physics/2012/wineland/biographical/]David Wineland[/url] once told me in a private communication that my proposed experiment is "doable."
.