Blaze's world

The Sol Dimension is a fictional dimension in the Sonic the Hedgehog series. It is the home dimension of Blaze the Cat. It is also the home of the Sol Emeralds.

Sonic Rush
Blaze reveals that she is not from Sonic's universe, and departs him to this universe.

Sonic Rush Adventure
Sonic and Tails are lost in Blaze's world in this game. Some of the Sol Dimension is revealed with Southern Island.

Sonic the Hedgehog (2006)
In this game, Blaze and Silver both come from a distant future which is ravaged by a fiery spirit, Iblis. In the end, Silver attempts to seal him away within him using two Chaos Emeralds, but when he isn't accepted by them, Blaze takes his place, disappearing into another dimension. It is possible this is how she came to be in the Sol Dimension, though it doesn't explain what happened to her memories. Another theory is that this is simply an alternate version of Blaze. To add more confusion, the events of Sonic '06 were erased, so there is no confirmation as to where Blaze lives. Despite being erased from history, Crisis City was one of the locations to appear in Sonic Generations along with Blaze.

Sonic Rivals and Sonic Rivals 2
In these two games, the primary adversary for the games' characters is Eggman Nega, and Silver is also a playable character. In these games, however, Eggman Nega and Silver come from the same point in the distant future (200 years away). This presents another theory that the Sol Dimension is simply Sonic's world at a later point in time (as Eggman Nega is also seen as coming from the future)

Archie Comics
In the Archie Comics, the Sol Dimension is called the Sol Zone. It is the home universe of Blaze the Cat and Marine the Raccoon in this continuity. Unlike Mobius Prime, the Sol Zone has Sol Emeralds instead of Chaos Emeralds. This zone was first encountered by Sonic the Hedgehog and Miles "Tails" Prower when their plane crashed and they mysteriously arrived on Seagull Island. Marine had gotten possession of the green Chaos Emerald, though it was stolen shortly afterwards by Johnny. Following this, Sonic, Tails, Marine and Blaze fought against Johnny, Captain Whiskers and Doctor Nega, defeating them and retrieving the Chaos Emerald. (StH: #180, SU: #1)

Shadow the Hedgehog accidentally ended up in the Sol Zone after using Chaos Control to teleport himself and Metal Sonic away from the battle taking place on Moebius. Shadow was rescued by Marine and Blaze and brought on board the former's ship, the Ocean Tornado. Following this, the three fought against Metal Sonic and destroyed him, and Shadow was given the green Chaos Emerald to help him return back to Mobius Prime. (SU: #1)