In Christianity, is heaven something we will comprehend with the consciousness we have now? Will we be the same consciousness, brain and memories of this world, or is it just the energy of our soul going back to it's source - nothing that we will actually experience in terms of earthly experience?
I am under the impression that yes we will have memories of our lives (because without such memories how could we give account?). We would not be able to give an account if we did not have consciousness.
I think that this Scripture gives us a clear answer:
Not only did they have the ability to ask a question, they also remembered the way that they were killed and that they deserved justice. They also felt longing, which also supports that there is conscious experience in Heaven.
"Earthly" (Physical) Experience:
Please also keep in mind that when Revelation describes heaven there are references to many physical things. I don't believe such language would be used if we were just going to be spiritual beings returning to our source. Please read Revelation 21 & Revelation 22:1-5
I am sure that there are more evidences of this, but I am yet to search them out. I am convinced that Heaven will is not just some holding tank for souls, but rather a beautiful restoration of all creation.