I don't need to read the book to know that the title is obviously misleading (and, to be fair, even the author has acknowledged this). No-one has "proven" that heaven is a thing. But maybe one day I'll get around to reading the book proper.
I noted that, in response to some criticisms received, Alexander asserted, among other things, that "Physicists discovered just how completely consciousness is wedded to the physical environment at the beginning of the 20th century...", before discussing various ideas related to the links between consciousness and quantum mechanics (
http://www.newsweek.com/science-heaven-63823 ). Suddenly, it seems, I have something useful to offer after all...
To be brief, I think he's become to wedded to *interpretations* of Quantum Mechanics that he sees them as *truth* rather than philosophy; one no more needs a conscious observer in Quantum Mechanics for it to work than one needs infinite parallel universes. Again, that's not to say that he's wrong, but that he certainly has asserted truth and certainty where there is none.
The gist of his point would then be that consciousness comes before matter, rather than after it (ie, that it can't be an emergent quality if it's integral to the Universe). Well, possibly. But I think he's looking in the wrong place to support that idea.
As usual, I also can't say that I find personal testimonies such as his very compelling as evidence. Interesting, certainly, and absolutely deserving of further attention and study -- from what little I know myself about NDEs, etc, we still don't yet understand them properly -- but I think it's generally worth making a habit of not basing one's world view on what other people claim to have seen if you have no meaningful way of verifying that for yourself.