I feel like this question is probably wrong for MO, (too low level, perhaps unclear) but my silly curiosity has got the better of me:

I hear that the Riemann Zeta Function and its zeros have applications to quantum mechanics, as well as other fields. I do not understand these connections, and because of this the following question came up:

In theory, is it possible through physical experiments (particle experiments) to approximately calculate the first few zeros of the Riemann zeta function?

In other words, (using the explicit formula) could we write down the $n^{th}$ prime number (up to a given margin of error/probability of correctness) only from doing quantum mechanical experiments?

(If there are conjectures/facts that we cannot prove, but would answer the question, I would be happy to hear those too)

Thanks!

I feel like this question is probably wrong for MO, (to too low level, perhaps unclear) but my silly curiosity has got the better of me:

I hear that the Riemann Zeta Function and its zero's zeros have applications to quantum mechanics, as well as other fields. I do not understand these connections, and because of this the following question came up:

In theory, is it possible through physical experiments (particle experiments) to approximately calculate the first few zeros of the Riemann zeta function?

In other words, could we write down the $n^{th}$ prime number (up to a given margin of error/probability of correctness) only from doing quantum mechanical experiments?

(If there are conjectures/facts that we cannot prove, but would answer the question, I would be happy to hear those too)

Thanks!

I feel like this question is almost certainly probably wrong for MO, (to low level, perhaps unclear) but my silly curiosity has got the better of me:

I hear that the Riemann Zeta Function and its zero's have applications to quantum mechanics, as well as other fields. I do not understand these connections, and because of this the following question came up:

In theory, is it possible through physical experiments (particle experiments) to approximately calculate the first few zeros of the Riemann zeta function?

In other words, could we write down the $n^{th}$ prime number (up to a given margin of error/probability of correctness) only from doing quantum mechanical experiments?

(I hope it is clear what If there are conjectures/facts that we cannot prove, but would answer the questionwants. Please give suggestions if it can be cleaned up or should , I would be deletedhappy to hear those too)

Thanks!

I feel like this question is almost certainly wrong for MO, (to low level, perhaps unclear) but my silly curiosity has got the better of me:

I hear that the Riemann Zeta Function and its zero's have applications to quantum mechanics, as well as other fields. I do not understand these connections, and because of this the following question came up:

In theory, is it possible through physical experiments (particle experiments) to approximately calculate the first few zeros of the Riemann zeta function?

In other words, could we write down the $n^{th}$ prime number (up to a given margin of errorerror/probability of correctness) only from doing quantum mechanical experiments?

(I hope it is clear what the question wants. Please give suggestions if it can be cleaned up or should be deleted)

I feel like this question is almost certainly wrong for MO, (to low level, perhaps unclear) but my silly curiosity has got the better of me:

I hear that the Riemann Zeta Function and its zero's have applications to quantum mechanics, as well as other fields. I do not understand these connections, and because of this the following question came up:

In theory, is it possible through physical experiments (particle experiments) to approximately calculate the first few zeros of the Riemann zeta function?

In other words, could we write down the $n^{th}$ prime number (up to a given margin of error) only from doing quantum mechanical experiments?

(I hope it is clear what the question wants. Please give suggestions if it can be cleaned up or should be deleted)