Comments on the Riemann conjecture and index theory on Cantorian fractal space-time

Details Comments on the Riemann conjecture and index theory on Cantorian fractal space-time Comments on the Riemann conjecture and index theory on Cantorian fractal space-time

2000-09-02

arxiv.org/abs/hep-th/0009014v3

Chaos Solitons Fractals 13 (2002) 1407

Physics

High Energy Physics

High Energy Physics - Theory

Revised Latex file. 22 pages. Remarks on the recent developments in the proof of the Riemann conjecture are made. Plots were i

Scientific paper

An heuristic proof of the Riemman conjecture is proposed. It is based on the old idea of Polya-Hilbert. A discrete/fractal derivative self adjoint operator whose spectrum may contain the nontrivial zeroes of the zeta function is presented. To substantiate this heuristic proposal we show using generalized index-theory arguments, corresponding to the (fractal) spectral dimensions of fractal branes living in Cantorian-fractal space-time, how the required $negative$ traces associated with those derivative operators naturally agree with the zeta function evaluated at the spectral dimensions. The $\zeta (0) = - 1/2$ plays a fundamental role. Final remarks on the recent developments in the proof of the Riemann conjecture are made.

Affiliated with

Also associated with

No associations

Rating

Comments on the Riemann conjecture and index theory on Cantorian fractal space-time does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Comments on the Riemann conjecture and index theory on Cantorian fractal space-time, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Comments on the Riemann conjecture and index theory on Cantorian fractal space-time will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-470927