  The graphitic wormhole is in the focus of physical interest because of its
interesting properties which can remotely resemble the concept of the space
wormhole. Apart from the usual applications of the carbon nanostructures like
the electronic computer devices, it seems to be a good material for the
accumulation of the electric charge and different kinds of molecules, e.g. the
hydrogen molecules, which enables using this material for the storage of the
new kinds of fuel. Here, we present the geometric and electronic structure and
calculate the zero modes of this material and its possibly significant
derivate, the perturbed wormhole. Next, the influence of some additional
factors on the electronic structure like the changes of the Fermi velocity
close to the wormhole bridge as well as the spin-orbit interaction will be
investigated. On this basis, we predict the massive chiral fermions in the
connecting wormhole nanotube.
