My husband and two friends have experienced this error.
They had fully functional connections to the Internet, Skype, etc. They could log on with characters parked in our Guild Hall, Nolani Academy, and so forth. They were not able to log on to characters parked in Kamadan or Lion's Arch. This has persisted throughout the day. They have three different systems, different graphics cards, etc.
My husband took a character who was functional and moved him to LA. Then he used "character select" to log out and log back in immediately as the same character. He was successful. He was then able to log in to the character who was stuck in LA.
Post hoc, ergo propter hoc, I know, but there are the facts.
My friend attempted the same process, taking a character to Kamadan, using "character select" to log out and logging back in immediately as the same character. He could successfully log in as the character he moved, but he could not log in as any other character who was stuck in Kamadan. He could, however, log in as a character stuck in Lion's Arch and move him after attempting this solution. He was unable to log in to either Kamadan or LA previously, so he saw some improvement.
Another friend tried the same system and could not move any character in Kamadan or LA. She was able to move to Kamadan, log out with "character select", and log back in as that character in Kamadan. She was not able to log in as any other character stuck in Kamadan or LA, however, so this process is not 100% successful, even on a three-person trial level.
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