Think of it this way
When people dream their dreams may only be 24 hours but they feel longer(or shorter)
this is why people in comas may think they only were out for a night
Death is like eternal sleep so if a person falls asleep before death their conciseness may last to them even after they die
why?
Because time in dreams is relative
think of it this way
bob has a dream for one second in our time before he dies
in bobs time though it lasts forever
[spoiler]and also with quantum physics anything is possible tbh[/spoiler]
Also found this http://www.learning-mind.com/quantum-theory-proves-that-consciousness-moves-to-another-universe-after-death/
Edit2.0 No one likes my pun in the tag? LightningPhilosiphynix? anyone? *grabs Knife* Yall better start laughing real soon or your consciousness will be in another universe
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[i] *puts on an antic disposition* [/i] I see your point but you're wrong. Let's go with a scenario. You die in your sleep after 4 hours. While thanks to that dream relativity it could last for what feels like a long time, but in reality you are still only sleeping for 4 hours before dying. Meaning that there would still be an eventual end. Also even what you said goes against your title. Your theory wouldn't be "consciousness after death". It would be a nearly infinite pocket of time [i]before[/i] you die.