You're on the right track for proving that christianity is the world's #1 religion for secreting atheism (Shults, Iconoclastic Theology). Eddington is about as delirious as John wailing away with quill and parchment on Patmos, but does get close: "The mind-stuff is not spread in space and time." So whatever Eddington is calling here 'mind-stuff,' Derrida has already addressed. What Derrida calls 'trace' is more original than god.
'When Derrida employs the name of God, or reads a story that involves God, it is to show that even the supposedly indivisible is divisible and that whoever says I am, confesses that he is mortal. Such radical atheism follows from the thinking of the trace that informs Derrida's writing from beginning to end.
The structure of the trace entails that everything is subjected to the infinite finitude of time and consequently that God himself is "an effect of the trace." It follows that any notion of God as a positive infinity is contradicted from within by the spacing of time, which cannot be appropriated by religion. As Derrida writes in "Faith and Knowledge," the spacing of time "will never have entered religion and will never permit itself to be sacralized, sanctified, humanized, theologized." '
(Haegglund, Radical Atheism, p. 143)