The Lighthouse is an Aleph by Khaman

Jorge Luis Borges was a twentieth century poet and author who dealt considerably with the concepts of infinity, time, identity, and the nature of reality itself. He liked to bend reality with his writing and occasionally got into trouble for verging on literary forgery.

In 1949, he published a short story called 'The Aleph.' There's a translation for the story available online, but in short the tale tells us about a mediocre poet and his goal to describe everything in the world in perfect detail through the eyes of his friend, who doesn't have the heart to tell him he sucks. The tale turns to jealousy and lies when the friend is invited to the poet's house to observe The Aleph, a point in space where all points in space exist and can be observed without confusion or overlap. The friend doesn't believe at first, but then sees all with his own eyes.

The Aleph itself is described initially as a sphere but that what you see within it is as if on the face of a mirror. The story later describes several possible other alephs, including 'the mirror that Tariq ibn-Ziyad found in a tower' (a reference to The Arabian Nights'), Merlin's Mirror, and ultimately a stone pillar through which the sounds of the universe can be heard.

The Aleph has gone on to find a place in speculative and graphic fiction, fulfilling much the same role as it did in Borges' story, being a place where all places converge.

As an aside, the Alephs described by Borges don't seem controllable, but there's nothing to say that the Lighthouse Aleph can't be, either.

In short, I'd like to think that the Lighthouse is following LOST's traditions of reference and reverence to classic fantasy and speculative fiction.