The relationship between science and God is the same as the relationship between knowledge and the source of knowledge. Of course, modern science has not much to with real knowledge, it’s simply an act of gathering information. Modern science has largely become an arena for atheists to exclude God from His creation.
They have launched the most ridiculous, improbable theories, like abiogenesis and evolution, all in the name of science, of course, in their vain attempts to make science into a godless exercise.
But in the real sense of the word science, ie. to know, there is no contradiction between science and God, because God is they source of all knowledge. Even if we claim that empiricism is the only valid way of knowing and understanding the world, we still haven’t accounted for the senses we use to study the world empirically.
To suggest that the senses of the human body just developed from mindless chemical reactions, is nothing more than anti-intellectual nonsense.
"From my earliest training as a scientist I was very strongly brainwashed to believe that science cannot be consistent with any kind of deliberate creation. That notion has had to be painfully shed. I am quite uncomfortable in this situation, the state of mind I now find myself in. But there is no logical way out of it. I now find myself driven to this position by logic. There is no other way in which we can understand the precise ordering of the chemicals of life except to invoke the creations on a cosmic scale. . . We were hoping as scientists that there would be a way round our conclusion, but there isn’t."
--Sir Frederick Hoyle and Chandra Wickramsinghe, There Must Be A God, Daily Express, Aug. 14, 1981. & Hoyle On Evolution. Nature, Nov. 12, 1981, 105
“I am very astonished that the scientific picture of the real world around me is deficient. It gives a lot of factual information, puts all our experience in a magnificently consistent order, but it is ghastly silent about all and sundry that is really near to our heart, that really matters to us. It cannot tell us a word about red and blue, bitter and sweet, physical pain and physical delight; it knows nothing of beautiful and ugly, good or bad, God and eternity. Science sometimes pretends to answer questions in these domains, but the answers are very often so silly that we are not inclined to take them seriously.”
--Erwin Schrödinger. Nobel Prize-winning Austrian physicist who developed a number of fundamental results in the field of quantum theory.
I am seated in everyone’s heart, and from Me come remembrance, knowledge and forgetfulness. By all the Vedas, I am to be known. Indeed, I am the compiler of Vedanta, and I am the knower of the Vedas. - Bg 15.15