Yes there is a mathematical equation to describe God.
For example If I state that the number 1 exist I have made a mathematical statement. In fact I have made one of the most fundamental statements ever.
No you made an existential claim by saying the number 1 exists not a mathematical equation that describe god... We have an equation that describe the force of gravity.
And if I state that God exist then too I have made a mathematical statement. I can apply rules of logic to it and state its corrollary: God does not exist, or make statments about God: God is [fill in blank].
Certainly if you assume the existence of god and define is properties you can then use the rules of logic with the entity you describe as god.
Yes God has been repeatedly tested and observed within the scientific community.
This is news to me... Problem solved point me to scientific journal that describes the experiment and the results then I will spin on a dime.
If we ask scientists at what temperature does water freeze they will make an observation and then compare results. Many will say that water freezes at -32 others will say it freezes at -31 or -33. We can even say that a certain percentage of scientists state that it is -32 and another percentage state that it is -33... With further examination we can deduce that the purity of the water and the altitude effects the results.
Water doesn't freeze at a single temperature it has a range at which the matter begins to transition from a solid to a liquid and a liquid to a gas... And by no scale does it freeze anywhere close to -32 degrees.
Water begins to freeze at about 0 C, 32 F, and 273 K.
In case there are anymore questions...
Now that you understand the changes of state may I ask to relevance of this?
With God they too have used their senses to make statements about God. Among all the people of the EArth who have made statements that they have direct experience with God many of them are scientists (just like I have a degree in science and was a scientist).
A scientist who does not understand the change in state?
We can even state that a certain percentage believe in God and a certain percentage do not. We can even point to polls in which 40% of physicists believe in God. We can even quote Einstein who when confronted with certain truths about the universe said that he had no choice but to change his mind and become a believer in some sort of God.
The god physicists references is rarely a personal god. Usually it is a deistic entity or more often a metaphorical god. Not that this is relevant as it is an argument from authority, their authority may have some relevance if we were talking about physics but we are not.
So how many scientists have written papers about their sightings of God? Not many. How many have written papers about their sightings of the comet Ceasar? Not many. In fact since the last time it was sighted was in 44 BC no modern scientist has ever seen it. Do you doubt it exists?
Noted astrophysicists do question its existence... I am not certain of the asteroids existence but it certainly is more probable than a god. We have observed countless asteroids and recorded their images... We have no such documentation for any god. Apparently he became tired of preforming miracle as soon as we gained the ability to record them.
The point is that rare events, like sightings of comets and sightings of God, are every bit as observable as common events - just not often. The bible records many events over the course of a period of time ranging from the beginning to about 200ish AD. And throughout this whole book that specializes in data about God there are only a handful of recorded sightings.
The bible is of questionable authorship, has been edited for political reasons, has been archaeologically contradicted, scientifically, and self contradicted. The beginning of the earth 4.5 billion years ago? It certainly skipped over quite a bit if that is the case.