Who is Clara Oswald?

Since Clara appeared in "Asylum of the Daleks," people have been posting online with possible about who she is. Here are my theories and speculations about Clara. (Spoilers for "The Bells of St. John.")

1. We are seeing Clara out of order, as we did with River. 

"The Bells of St. John" is the first episode in Clara's timeline, from her point of view. She becomes an expert computer hacker. Then at some point in her future (but the Doctor's past), she ends up in the the Dalek Asylum. I'm not sure where "The Snowmen" and the little girl in the prequel fit in yet. Moffat is giving us jigsaw puzzle pieces and we have to figure out how they fit together.

2. Clara isn't real. 

The Doctor is traveling alone and having hallucinations. Clara appears in each one. In "The Wedding of River Song" (6.13), the Doctor says "My friends have always been the best of me." Clara embodies memorable qualities from previous companions:

• a mystery girl, like Amy
• flirts with the Doctor, like River
• dies and lives again, like Rory
• wrongly assumes the Doctor is looking for romance, like Donna—Clara calls the TARDIS a "snog box" and Donna's reaction to the Doctor asking her to travel with him was, "You're not mating with me, sunshine!"

Maybe we'll see elements adapted from Jack, Martha, and Rose in the coming episodes.

3. Clara is a Bizarro version of the Doctor, a Timelord gone wrong. 

She shares some characteristics with the Doctor, but through a distorted lens. Clara regenerates but always into the same body. She maintains a similar personality but has no memory of her past incarnations. She wants to travel but can't make herself leave.

4. Clara is one person, fragmented throughout time and space. 

We see multiple versions of the same person, all from the same source code (a computer analogy, for Clara's hacking skills). The bad guys in "The Bells of St. John" are in The Shard and they separated Clara's mind from her body. We've had scattering and fragmenting before—the cracks in series 5 and the Bad Wolf messages in series 1. This time, it's a scattered person.

Each version of Clara can live on her own, disconnected from the other Claras. That's why the Doctor remembers encounters with her, but she doesn't have any history with him. That's why she can keep dying and living. Different Claras, all human, and similar enough that the Doctor thinks she is the same person that he has met before.

What are your theories about Clara?