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B Connections with Prime numbers and Quantum Physics?

  1. Aug 30, 2016 #1
    Hello I'm hard at work trying to find a pattern for the prime numbers and this keeps cropping up. To be honest though, to me it comes across like pseudo science. I mean I never really hear people talk about it. This seems an obvious thing to look into but I don't know anyone who does.

    Prime numbers are fundamental to the fundamental of arithmetic. That's why I'm so avidly going after this.
  2. jcsd
  3. Aug 30, 2016 #2
  4. Aug 31, 2016 #3


    Staff: Mentor

    We are back online, after some discussion and research we found some more credible references for this notion of a connection between QM and Prime Numbers.


    While not peer reviewed the Bristol link does show that mathematicians are seriously looking at this area of study in the hopes of proving the Riemann Hypothesis using QM mathematical methods after having noticed similarities in the two systems of thought.

    Some other references I found are a talk given by Prof. Henrik J. Jensen, Department of Mathematics, Imperial College London.


    this Scientific American article on Quantum Chaos and Prime Numbers:


    and lastly this one from the American Mathematical Society:


    So enjoy all the reading material and post your comments below.
    Last edited: Aug 31, 2016
  5. Aug 31, 2016 #4


    Staff: Mentor

  6. Aug 31, 2016 #5


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    Staff: Mentor

    That is the important point, I think.

    Mathematics developed for quantum mechanics can be useful to study the Riemann hypothesis. It is common that parts of one branch of mathematics help in other branches.
  7. Sep 5, 2016 #6
    My attempt to find a pattern for prime numbers has led me on to a series of fractions. So Riemann Hypothesis (Quantum Energy Levels) and Quantum Chaos mmmmmmm. I haven't heard about Quantum Chaos before. Hopefully I will be able to find the series of fractions somewhere. I tried on OEIS but it didn't find anything. This is the start of the pattern it uses Pronic numbers.

    1 * 3 = 3 - 2 * 2 = -1 / 1 * 2 = -0.5

    2/1 = 2 -1/2 = -0.5
    3/2 = 1.5
  8. Sep 5, 2016 #7


    Staff: Mentor

    How are you doing your research via guesswork like treating the prime number list as a sequence and then trying to find an equation that generates them? Or are you approaching it in some other more esoteric manner?

    My approach has been the hobbyist with a big computer approach only my computer's not so big and I'm not spending a lot of time on it.

    I need to make it clear that this thread is for discussion of the relationship of prime numbers to QM. Here at PF, we don't discuss personal theories (my theory of generating prime numbers) or speculative science (how does prime numbers affect QM and what does it mean).

    A key point of discussion is that the use of QM mathematical methods does not imply that there's some mysterious connection with prime numbers only that QM energy levels mathematical model may have some bearing on solving the Riemann hypothesis ie is there an isomorphism here that may help proof Riemann's conjecture definitively.

    So if there's nothing more to talk about here then I guess we can close the thread.
    Last edited: Sep 5, 2016
  9. Sep 5, 2016 #8


    Staff: Mentor

    This makes no sense at all.
    1 * 3 = 3
    3 - 2 * 2 = 3 - 4 = -1
    -1/1 * 2 = -2
    None of these expressions is equal to any of the others, so connecting them with = is not appropriate.
    What are you trying to do here?
  10. Sep 5, 2016 #9
    Oh my gosh yes pull the plug! Abort! Abandon Ship! Mayday Mayday! ha ha. I was seeking clarity on this topic, hoping it was real and it is, I learnt a lot, Attention has been raised to this. People are wiser now. You all have helped, we've enlightened maybe some people who didn't know about about this.

    Mark44 it works by adding -0.5 to 2. And so on, it uses Irrational Rotation as well as Pronics as well as Fourier Series as well as Integrals.
  11. Sep 5, 2016 #10


    Staff: Mentor

    How it works and what you wrote are two entirely different things.
    As written, the first two lines above are nonsense.

    In the first line, you have 1 * 3 = 3 - 2 * 2, which is not true, since the left side is 3 and the right side is -1, and 3 ≠ - 1. Continuing, you're saying that -1 equals -1/1 * 2, which is equal to -2, according to the usual order of operations. If you meant -1 divided by the product 1 * 2, you should have included parentheses, as -1 / (1 * 2). In summary you have four expressions, none of which equals any of the others, but all connected with =.

    In the second line you have 2/1 = 2 - 1/2, which is saying that 2 is equal to 3/2 (or 1.5) -- not true. You then say that 3/2 is equal to -.5, again not true.

    What you wrote doesn't indicate that any of these is being used.
  12. Sep 5, 2016 #11
    Well I must be a terrible teacher and explainer, that's good to know. I'm sorry I vexed you, I can assure you it works, I've been looking into it for at least a month now. This will be clearer, I don't want to get into trouble so I will leave you with this.

    Prime | Fourier Series | Ordinal Numbers | Irrational Rotation | Pronic | Integral
  13. Sep 5, 2016 #12


    Staff: Mentor

    I get that 2 is a prime, but what does 2 (the second entry you show) have to do with Fourier Series? Same for the columns for Ordinal Numbers, Irrat. Rotation, Pronic, and Integral.
    Without any further explanation, this is just gibberish.
  14. Sep 5, 2016 #13


    Staff: Mentor

    Since the discussion topic of this thread has been exhausted and we are starting to venture off topic into personal theories, I going to close it now.

    Thanks for your participation.

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