What would constitute objective proof of God? Well, consider the following self-evident and universally recognized truth: Concept and design necessitate an intelligent designer. The presence of intelligent design proves the existence of an intelligent designer. It's simply cause and effect. In our search for proof of God's existence, we could examine the various claims of supernatural occurrences, determine whether or not these are legitimate experiences, and build a case for the existence of the supernatural, which would be a step towards identifying a supernatural Creator God. Or we can just apply what we already know and search for signs of intelligent design within creation itself.
We know that design necessitates a designer. In fact, in accordance with this fundamental axiom, design detection methodology is a prerequisite in many fields of human endeavour, including archaeology, anthropology, forensics, criminal jurisprudence, copyright law, patent law, reverse engineering, crypto analysis, random number generation, and SETI. And how do we recognize intelligent design? In general, we find "specified complexity" to be a reliable indicator of the presence of intelligent design. Chance can explain complexity alone but not specification -- a random sequence of letters is complex but not specified (it's meaningless). A Shakespearean sonnet is both complex and specified (it's meaningful). We can't have a Shakespearean sonnet without Shakespeare. (William A. Dembski, The Design Inference: Eliminating Chance through Small Probabilities, 1998.)
Proof of God - Nature
So where's the proof of God's existence? In accordance with our familiar axiom and in light of the tremendous advances we've made in molecular biology, biochemistry, genetics and information theory, the proof of God is all around us!
Through the microscope, we observe the E. coli bacterial flagellum. The bacterial flagellum is what propels E. coli bacteria through its microscopic world. It consists of about 40 individual protein parts including a stator, rotor, drive-shaft, U-joint, and propeller. It's a microscopic outboard motor! The individual parts come into focus when magnified 50,000 times (using electron micrographs). And even though these microscopic outboard motors run at an incredible 100,000 rpm, they can stop on a microscopic dime. It takes only a quarter turn for them to stop, shift directions and start spinning 100,000 rpm in the opposite direction! The flagellar motor has two gears (forward and reverse), is water-cooled, and is hardwired into a signal transduction (sensory mechanism) so that it receives feedback from its environment. ("Unlocking the Mystery of Life," video documentary by Illustra Media, 2002.)
When we apply the general principles of detecting specified complexity to biologic systems (living creatures), we find it reasonable to infer the presence intelligent design. Take, for example, the bacterial flagellum's stator, rotor, drive-shaft, U-joint, and propeller. It is not convenient that we've given these parts these names - that's truly their function. If you were to find a stator, rotor, drive-shaft, U-joint, or propeller in any vehicle, machine, toy or model, you would recognize them as the product of an intelligent source. No one would expect an outboard motor -- much less one as incredible as the flagellar motor -- to be the product of a chance assemblage of parts. Motors are the product of intelligent design.
Furthermore, the E. coli bacterial flagellum simply could not have evolved gradually over time. The bacterial flagellum is an "irreducibly complex" system. An irreducibly complex system is one composed of multiple parts, all of which are necessary for the system to function. If you remove any one part, the entire system will fail to function. Every individual part is integral. There is absolutely no naturalistic, gradual, evolutionary explanation for the bacterial flagellum. (Michael Behe, Darwin's Black Box, 1996.)
The bacterial flagellum (not to mention the irreducibly complex molecular machines responsible for the flagellum's assembly) is just one example of the specified complexity that pervades the microscopic biological world. Molecular biologist Michael Denton wrote, "Although the tiniest bacterial cells are incredibly small, weighing less than 10-12 grams, each is in effect a veritable micro-miniaturized factory containing thousands of exquisitely designed pieces of intricate molecular machinery, made up altogether of one hundred thousand million atoms, far more complicated than any machinery built by man and absolutely without parallel in the non-living world." (Michael Denton, Evolution: A Theory in Crisis, 1986, p. 250.)
Proof of God - His Fingerprints are Everywhere
Where is the proof of God? If we're willing to open our eyes, we'll see the fingerprints of God all around us and all throughout us. Our very existence proves the existence of a Creator God.