The location of the entrance/exit of The Abyss, is currently located in the Challenger Deep within the Mariana Trench. The two big reasons for this are because it's safe to hide in, secure from kiji and other predators. And two, it's as close as Yile can get to the Core without being noticed by Gaia.
Unlike the core which has a physical presence, Yile's Abyss is much, much larger than the Core, but has no physical presence on the planet. Once the portal is accessed, one is greeted with the Abyss. It's so large that generally the Subtalleons congregate near the entry portal. If one goes in too deep, it's extremely easy to get lost, and one is unlikely to see many friendly faces.
Inverse to how Kiji treat the Core, Subtalleons try to avoid the Abyss unless it’s to speak to Yile, hide from Gaia or Kiji, or any other threats. Meld will also take unhatched Subtalleon eggs into the Abyss to keep them safe, if needs must, but eggs cannot hatch there. Subtalleons that have recently hatched will also enter the Abyss, just for safety in their early existences.
The environment is ice cold, and should a normal mortal enter and remain longer than a minute, there's a high chance for frostbite, and an impending sense of doom typically sets in. Hypothermia can set in within around ten minutes for an average, living creature. Subtalleons, of course, are not impacted by it at all. Kiji entering would not die of the cold, but rather the Abyss would drain their energy completely, as with any other creature aside from the Subtalleons.
There is a constant current here, almost like a mix of wind and water, one with a visible presence. It goes largely unfelt, but one can see the flow of the currents if they look closely. The Abyss also can skew one’s sense of time, making it impossible to tell how long one had really been there. If they were, in reality, inside for ten minutes, when they leave, they could discover only five minutes or fifty minutes had passed instead. Even Subtalleons don’t trust their sense of time in the Abyss.
The reason it's so empty is mostly because of Yile's experience in the deep void of space, so she doesn't understand the idea of decorating very well. She's also fairly selfish, and doesn't care about what others might think of her lack of hospitality.
Minor Points of Interest
Unlike Gaia, Yile does have a physical presence, and a black, smooth obsidian-like throne she likes to sit on. She does wander the Abyss, though she can usually be found around her throne. Aside from the main portal, this is the only real point of interest. Aside from the Abyss being vast, there is very little in it that takes up space besides the fanciful clouds, false stars, and water reflection effects.
Another point of interest is Meld’s Nest, which is an extensive area, roughly around 5000 square feet (or 465 square meters), that’s filled with varying types of eggs that hold Subtalleons, all in different stages of incubation. Most Subtalleons will drop off their eggs here and let Meld care for them, meaning most Subtalleons never know who their personal summoners are unless one comes to claim responsibility. The eggs are usually hidden and protected by rocks, kelp, and sand, but not buried or concealed in holes. Due to the size of the Nest, Meld frequently has volunteers who come and go to help tend the eggs.
There is also Stark and Trifle’s lab holed up in the Abyss, far from Yile’s throne, where they spend their infinite time creating strange gadgets and trinkets, as well as researching the world and its many wonders and oddities. Yile does visit fairly often, and Subtalleons will come to them sometimes for information.