This tunnel was suposedly inspired Lewis Carroll to write about the rabbit hole in Alice In Wonderland.
The inscription reads:
These Esplanades walks and buildings are the private property of those owners of the houses of Kemp Town who have subscribed towards the expenses and to whom only there is the right to entrance and kept up at their expense. Visitors are imformed that it is the DUTY OF THE CONSTABLE to be constantly on the premises, and to keep the whole of the place free from intrusion of all persons whose conduct or appearance seem to justify their exclusion, and if any of the company require his assistance and protection he will attend immediately on the ringing of the BELL.