If you are on a US data center, try Data Center visit to Dynamis data center, any world. As Cat_Girl said above, it will set your character at the Aetheryte in your home city. Gridania.
There may be small a period of time before you can travel back to your home world, but you can continue your gameplay with the only restrictions being that you can't communicate with your FC and you can't access your retainers.
Right click your character on the character select screen, choose Data Center Travel from the menu that pops up, and follow the prompts.