17 research outputs found
On the Absoluteness of Rotation
We argue that in the general relativistic calculation of planetary orbits,
the choice of a reference frame which is an obligatory condition in the
Newtonian approach is replaced by an appropriate boundary condition on the
solution of Einstein equation. Implications of this observation on the nature
of rotation and the physical interpretation of the metric tensor are discussed
Chiral bag boundary conditions on the ball
Local boundary conditions for spinor fields are expressed in terms of a
1-parameter family of boundary operators, and find applications ranging from
(supersymmetric) quantum cosmology to the bag model in quantum chromodynamics.
The present paper proves that, for massless spinor fields on the Euclidean ball
in dimensions d=2,4,6, the resulting zeta(0) value is independent of such a
theta parameter, while the various heat-kernel coefficients exhibit a
theta-dependence which is eventually expressed in a simple way through
hyperbolic functions and their integer powers.Comment: 30 pages, REVTe