[2] viXra:1007.0031 [pdf] submitted on 19 Jul 2010
Authors: T. E. Raptis
Comments: 13 pages.
We report on a new general class of solutions of the Beltrami equation, with
special characteristics. We also provide examples of solutions that also satisfy Maxwell equations.
A subset of these solutions can be isolated which corresponds to "gauge" fields. A special
projective geometry of vacuum fields is also revealed and discussed.
Category: Mathematical Physics
[1] viXra:1007.0005 [pdf] replaced on 2012-11-22 05:57:29
Authors: Jose Javier Garcia Moreta
Comments: 12 Pages.
· ABSTRACT: We give a possible interpretation of the Xi-function of Riemann as the
Functional determinant det ( E - H ) for a certain Hamiltonian quantum operator in
one dimension
2
2 d V (x)
dx
- + for a real-valued function V(x) , this potential V is
related to the half-integral of the logarithmic derivative for the Riemann Xi-function,
through the paper we will assume that the reduced Planck constant is defined in units
where h =1 and that the mass is 2m =1.In this case the Energies of the Hamiltonian
operator will be the square of the imaginary part of the Riemann Zeros 2
n n E =g Also
trhough this paper we may refer to the Hamiltonian Operator whose Energies are the
square of the imaginary part of the Riemann Zeros as H or 2 H (square) in the same
case we will refer to the potential inside this Hamiltonian either as 2 V (x) or V (x) to
simplify notation.
· Keywords: = Riemann Hypothesis, Functional determinant,
Category: Mathematical Physics