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Physical interpretation for Riemann zeros from black hole physics

Pulak Ranjan Giri, U. Montréal

 According to a conjecture attributed to Polya and Hilbert, there is a self-adjoint operator whose eigenvalues are the the nontrivial zeros of the Riemann zeta function. We show that the near-horizon dynamics of a massive scalar field in the Schwarzschild black hole spacetime, under a reasonable boundary condition, gives rise to energy eigenvalues that coincide with the Riemann zeros. In achieving this result, we exploit the Bekenstein conjecture of black hole area quantization, and argue that it is responsible for the breaking of the continuous scale symmetry of the near horizon dynamics into a discrete one.

Thursday, 21 January, 2010 - 15:00
Seminar Location: 
Pavillon Roger-Gaudry, V-221
Refreshments Time and Location: 
café et biscuits à 15h00, au V-221

Groupe de Physique des particules
​Université de Montréal
C.P. 6128, Succ. Centre-ville,
Montréal, QC H3C 3J7
Tél : 514-343-5607
Fax : 514-343-7357