Comments on the Riemann conjecture and index theory on Cantorian fractal space-time
| dc.creator | Castro, Carlos | |
| dc.creator | Mahecha, Jorge | |
| dc.date | 2000-09-02 | |
| dc.date | 2001-04-08 | |
| dc.date.accessioned | 2026-07-07T04:10:27Z | |
| dc.date.available | 2026-07-07T04:10:27Z | |
| dc.description | 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 $ζ(0) = - 1/2$ plays a fundamental role. Final remarks on the recent developments in the proof of the Riemann conjecture are made. | |
| dc.description | Revised Latex file. 22 pages. Remarks on the recent developments in the proof of the Riemann conjecture are made. Plots were included | |
| dc.identifier | https://arxiv.org/abs/hep-th/0009014 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0009014 | |
| dc.identifier | Chaos Solitons Fractals 13 (2002) 1407 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50222 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Comments on the Riemann conjecture and index theory on Cantorian fractal space-time | |
| dc.type | text |