You mean the study of the bible, archeological artifacts, and a handful of ancient historians, all of which argue against the existence of this "God" fellow and that Jesus was a god. Your god eludes detection and hence cannot be studied,just like Zeus and Quetzalcoatl did.I know. But the study God & Jesus are also ancient.
Nor by a telescope. Nor by a thermometer. Nor by radar or sonar. Nor any other artificial device. Nor any exteroceptor.Humans have been trying to figure out God for over three millennia. The big difference between the study of God and the study of DNA is that God can't be scrutinized under a microscope.
The invisible and the nonexistent look very much alike- Delos B. McKown
There are many things that cannot be seen even with our best machines, but have been identified indirectly nevertheless by their effects on the observable - things like dark matter, dark energy, black holes, neutron stars, stellar nucleosynthesis, electrons, magnetic fields, and more. Even gravity is discernible only indirectly through its effects on matter.
Your god would be discernible if it existed and acted on reality like any of the above - if it answered prayer, for example.
But alas, it doesn't have any observable effect, and is detectable only by objects like Trifecta and Dr. Shrink. You don't have much of a case there.