All we can do is map the EM activation patterns in the brain to show us physical correlates to such emotion / thought.
The same is with the Source.
Science is just beginning to understand with the "Heisenberg uncertainty principal" which ironically shows us matter reacts to our awareness of it, wouldn't this be deemed more "certainty"?
As to "prove" god exists, that's like saying prove that this picture of a 3d sphere I drew on a 2d piece of paper is a sphere.
It isn't a sphere, it is a 2d representation of a sphere. The same is how we perceive "deities" from a 3d earth.
Some concepts extend beyond the abilities of the logical mind,
Viz.
I like this post.
Although it's somewhat semantic, I've coined a phrase: "What one knows, he cannot prove. What one can prove, he cannot know."
The reason I say it's somewhat semantic is because I'm talking specifically to claims made at a 100% level of confidence. I can say, "The Sun feels warm" and know that claim to be true, so long as I directly experience the sensation of warmth from the Sun's rays. However, there is no way to prove to someone else that the warm sensation exists. I could take a thermometer and measure the temperature of the Sun's warmth and determine that it is "warm," relative to something else, but this just means that we are substituting evidence which indirectly suggests the Sun's rays are warm for the direct knowledge of the Sun's warmth experienced first-hand.