Physics Seminar

The Riemann Hypothesis is a consequence of CT-invariant QM
by Dr. Carlos Castro, Center for Theoretical Studies of Physical Systems
2008-02-11, 10:00 AM in NSB 148

Abstract

 

The Riemann’s hypothesis (RH) states that the nontrivial zeros of the Riemann zeta-function are of the form sn=1/2+iλn . By constructing a continuous family of scaling-like operators involving the Gauss-Jacobi Theta series and by invoking a novel CT-invariant Quantum Mechanics, involving a judicious charge conjugation C and time reversal T operation, we show why the Riemann Hypothesis is true. An infinite family of theta series and their Mellin transform leads to the same conclusions