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Can Zeta ζ(½+it) be interpreted as a Wave function?

  1. May 15, 2017 #1
    In a recent article by BBM in Physical Review Letters highlights another approach to link QM to Zeta to Prove R.H. There approach proved unsuccessful. I want to ask professional Physicists if the following new approach have merit in connecting the Zeta function to QM? This new line of attack is interpreting the wave graph of ζ(½+it) of Zeta as a wave function. Those wave curves in the graph of ζ(½+it) could be describing the atomic nuclei the Eigenvalue(nontrivial zeros) are related to. It is a new Complex version of the Parity Operator and it is Hermitian. It's eigenvalues can mirror the nontrivial zeros of Zeta. Could this wave function interpretation of ζ(½+it) be the new approach in proving Riemann Hypothesis using Physics? The jpeg attachments are visual representations of this new line of attack for proving RH.
  2. jcsd
  3. May 17, 2017 #2


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    Science Advisor

    RH is a mathematical statement, so it can be proved (or disproved) only by mathematics. Physics cannot prove RH. Perhaps a proof may be based on some mathematical tool, such as a Hermitian operator, which has applications in physics, but still the proof of RH cannot depend on physics.
  4. May 17, 2017 #3


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    Staff: Mentor

    In any case, PhysicsForums is not the place to discuss personal work. Please read the forum rules.

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