  The entropy S of the horizon $theta = pi/2$ of the Hawking wormhole written
in spherical Rindler coordinates is computed in this letter. Using
Padmanabhan's prescription,we found that the surface gravity of the horizon
equals the proper acceleration of the Rindler observer. S is a monotonic
function of the radial coordinate $xi$ and vanishes when $xi$ equals the Planck
length. In addition, its expression is similar with the Kaul - Majumdar one for
the black hole entropy, including logarithmic corrections in quantum gravity
scenarios.
