> Immaterial beings cannot causally influence material things, and
> therefore an immaterial being such as God could not influence the
> physical world.


Physics deals with only a few areas of our physical / ephemeral world. It cannot explain clearly anything immaterial. In other words, it cannot **confirm** or **prove** anything immaterial. 

If physics has developed from something completely physicals, that limitation will always be there.  Nobody can blow it off.  The limitations of our senses and instruments also prevent us from doing so. If an ‘immaterial being’ such as God cannot influence the material world, we can say that the material world is influenced by an unnamed 'something' that is beyond the laws of physics and it must be something material. Even then physics cannot rule out that 'something' though it has not yet been proved to be material or immaterial. So the laws of physics cannot rule out (an immaterial) God

Different ideas related to the concept of God do not suit here.