And what about heaven in the past and present?
The bible states that in our present timeline, Heaven (in the sense of the Kingdom of God, as opposed to the the sky and outer space, as the bible uses both senses of the word) doesn't exist for us (Matthew 6:10; Luke 11:2; 1 Thessalonians 4:1). But when we die, from our perspective we are immediately resurrected (Luke 23:43), due to us experiencing no passage of time when dead.
If Heaven already existed in our present timeline and if people went there right now when they died, then there would be no need for the two resurrection events spoken of in the bible. (That is, the first resurrection, which is the foundation of Christ's Heaven on Earth, when mankind becomes immortal, but in order to become immortal they will have to be transformed, taking on bodies which do not decay, and hence will have to be born again. And the second resurrection, which is the universal resurrection of all who have ever died. As it is said, the first shall be last and the last shall be first, which is precisely what physics tells us.)
This isn't to say that people's so-called near-death experiences (or perhaps after-death experiences would be a better term, since many of these people experience clinical death) aren't real. But they're a preview of things to come, i.e., a message from God (for those genuine events).
Ok. That fits many religions' definition of God.
Indeed, and that only fits the definition of God. Any object which fit these definitions would by definition be God.
Additionally, per the Church-Turing thesis, any universal Turing machine is equivalent to any other universal Turing machine.
And is nothing like the Trinity described in the Bible. This is a stretch. The trinity is extant throughout eternity.
As is the Cosmological Singularity, of which consists eternally of three hypostases in a triune homoousian. The Schmidt b-boundary has been shown to yield a topology in which the Cosmological Singularity is not Hausdorff separated from the points in spacetime, meaning that it is not possible to put an open set of points between the Cosmological Singularity and *any* point in spacetime proper. That is, the Cosmological Singularity has infinite nearness to every point in spacetime.
God is entirely transcendent of his creation the last time I checked. He came fully into the world as Jesus, though.
You just said the same thing I said, but using different words. As Stephen Hawking proved, the singularity is not in spacetime, but rather is the boundary of space and time (see S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time [London: Cambridge University Press, 1973], pp. 217-221). So the Omega Point is transcendent to, yet immanent in, space and time.
Of course, all that exists, has ever existed, or will ever exist is God (Acts 17:24-28; Colossians 3:11; Jeremiah 23:24; Romans 12:4,5; 1 Corinthians 6:15-19; 12:12-27; Ephesians 4:25; Galatians 3:28; Ephesians 1:23; 4:4-6). Yet everything that will ever exist is also merely a subset of what will be rendered at the Omega Point, i.e., God the Father, or the First Person of the Trinity.
What's your definition of "exist?" Infinite sums "exist" in a sense...
To say that "Infinite sums 'exist' in a sense" is to say that they're comprehended. They do exist in a real sense only because God exists. To say that something exists means that it has effects upon reality.
As do plenty of other deities...
Not so. Only an infinite being can create all of existence. There are creatures, and then there is the Creator. Creatures can only transform the matter and energy that only God alone created.