Faith, by definition, deals only with things that are not seen (2 Cor 4:18, Heb 11:1) while science, by definition, deals only with what we can see or observe with physical instruments. If faith could be proven by science, faith would no longer be faith--it would be knowledge (Rom 8:24). Then, rather than being saved by our faith, we could be saved by our knowledge. Faith is not knowledge, and knowledge is not faith. Science is knowledge. 2 Corinthians 5:7 says that "we walk by faith, not by sight". Science and faith appear to be mutually exclusive.
Folks have a mistaken impression that science, by definition, deals only with what can be seen.
Einstein performed thought experiments like pretending he was sitting on a ray of light and shining a torch, and would the torch light go faster than light, since his transport was already going at the speed of light. All this sort of science deals with the unseen, with speculation, with hypothesis.
From Einstein's theories of relativity he came up with further hypotheses which were to the effect... suppose relativity is correct, then light should bend around the sun etc. Then we test his unseen and unproven hypothesis, by faith, and find that in a solar eclipse light DOES bend around the sun, such that we see stars behind the sun.
And much of quantum physics deals with the invisible. String theory and extra dimensions definitely deals with the invisible, and mathematics which is quite other worldly.
The way science deals is not completely different to the way snake oil preachers preach. Send me your offering and prove if God does not open the windows of heaven and bless you.
I am a Christian because I live the lifestyle, and find it agrees with me, and look at others who are not Christians and think, if they were then they would not be so worried etc.
Everyone on earth lives by faith. Even animals live by faith. My cat woke me up last night in faith that I would get up and feed him, and not clobber him for waking me.