If we had continuity of experience there would never be any disagreements.
No two people ever remember anything exactly the same way.
The critical piece is being able to think outside of the human box. I actually have trouble thinking inside the human box.
I wish I could point you towards specific text, but to be honest everything I've been talking about comes primarily from my own experience. I've spent my whole life looking at different religions and sciences and eventually, I began to see that much of the problem lies in how we choose to describe things. Many of the stories, both religious and non-religious say the same thing. But for some reason we get so caught up in the words we can't see past them. Can't see the forest through the trees.
In addition to that, we have a serious preoccupation with they physical part of existence. We equate our sense of self with the physical. We base what we believe to be conciousness on the physical form. Yet both science and religion try to move us past that. For some reason we choose not to see it.