Number Theory


The Wave Function ψ of the Riemann Zeta Function ζ(0.5+it):

Authors: Jason Cole

There is exciting research trying to connect the nontrivial zeros of the Riemann Zeta function to Quantum mechanics as a breakthrough towards proving the 160-year-old Riemann Hypothesis. This research offers a radically new approach. Most research up to this point have focused only on mapping the nontrivial zeros directly to eigenvalues. Those attempts have failed or didn’t yield any new breakthrough. This research takes a radically different approach by focusing on the quantum mechanical properties of the wave graph of Zeta as ζ(0.5+it) and not the nontrivial zeros directly. The conjecture is that the wave forms in the graph of the Riemann Zeta function ζ(0.5+it) is a wave function ψ. It is made of a Complex version of the Parity Operator wave function. The Riemann Zeta function consists of linked Even and Odd Parity Operator wave functions on the critical line. From this new approach, it shows the Complex version of the Parity Operator wave function is Hermitian and it eigenvalues matches the zeros of the Zeta function.

Comments: 4 Pages.

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Submission history

[v1] 2017-05-06 08:50:03
[v2] 2017-05-10 19:37:27
[v3] 2017-05-17 08:56:58
[v4] 2017-05-18 08:17:38
[v5] 2017-05-22 09:41:44
[v6] 2017-05-31 18:39:21

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