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Assuming that death isn't conquered by technology before I kick the bucket, I picture the relaxed feeling of going to bed, drifting off into a lazy sleep. As my brain shuts down, I'll likely experience something dream-like, a result of brain-chemistry during death. As the dream fades, my sense of self fades with it, and 'I' become a non-entity, something gone and never coming back or moving on to some other 'life'. My atoms will return to the earth, be parts of countless other things before the death of the planet itself, far into the future. After the death of the solar system, some of my atoms will probably find their way into a new star, a new planetary system, possibly even a new lifeform.
Of course, "I" won't be there to experience it.
I take the analogy of a sandcastle on the beach:
That sandcastle is the precise arrangement of all those grains of sand, in order. When the sea washes them away, the grains are still there, and can be parts of infinite other sandcastles. But what about the first one, the one that washed away? It's gone, the ordered arrangement disorganized and turned back into it's constituent parts. No mechanism exists for the information of that arrangement to be saved, and so it isn't.
Same with us.