I mentioned this because I saw an interesting quote from Kurt Gödel that I hadn't seen before:
“I believe that mechanism in biology is a prejudice of our time which will be disproved. In this case, one disproof, in my opinion, will consist in a mathematical theorem to the effect that the formation within geological times of a human body by the laws of physics (or any other laws of a similar nature), starting from a random distribution of the elementary particles and the field, is as unlikely as the separation by chance of the atmosphere into its components.”
This caught my attention because it got me wondering if that's right in a similar way to how my biased random walk theory might be right. While Gödel isn't denying evolution happened, he seems to be friendly to a kind of Intelligent Design: that the evolution of intelligent life forms in the time since the big bang is not mathematically likely unless one assumes a vanishingly unlikely set of initial conditions with a cosmic mathematician as the source of it.
That is to say, in a 14 billion years old universe, biologists tell us that random genetic mutations plus natural selection explains the life we observe. So, the consideration taps into algorithmic information theory (like the notion of Kolmogorov complexity) and tools from complexity theory to study if the biologists’ explanation is consistent with the 14 billion year old age of the universe - and in terms of the timeframe a computational problem like biological life requires - whether this problem possibly even requires exponential time. If a problem requires exponential time, then any algorithm for the problem requires at least (roughly) 2^n time units where n is the number of bits describing the initial conditions of the problem.
So if Gödel is right, then this is the biased random walk I've been writing about for all those years, where the algorithm(s) in nature's blueprint were set up by God to give rise to evolution in a timeframe far more remarkably fecund than the mere 14 billon years of the age of the universe. If evolution requires an exponential amount of time to achieve the complexity of life we see after a few billion years of space expansion, then it required far more time than the ordinary polynomial time with which physics measures the cosmic story.
I'm quite a visual thinker, and I keep picturing an idea of the cosmos being pulled rather than being pushed, and that perhaps that's true of everything significant about Christianity. If we consider that biased random walk, where the algorithm(s) in nature's blueprint were set up by God to give rise to evolution in a timeframe far more remarkably fecund than the mere 14 billon years of the age of the universe - you could say the universe is being pulled by the mathematical structure that exists in the configurational search space of the universe's mechanisms, and was already implicit in God's creative blueprint.
In addition, now consider the narrative structure in the Old and New Testaments. We can't think of the Old Testament except through the lens of how it culminates in the New Testament. In fact, by Genesis 3:15 we have already seen the whole summary of the story, from creation, to the fall, to salvation through Christ. Rather than the Old Testament pushing towards the New Testament - as Christ is the Creator of the universe, then the New Testament superseding the Old is not like a development towards improvement, it is more akin to the notion that the improved state is already implicit in God's mind, because it is older than creation. Hence the New Testament is not just pulling the Old Testament forward - it is, in a sense, also pulling everything that follows it forward to the culmination of God's grand plan. To that end, God's created word has the same model as God's created universe.
The foundation of my hypothesis can be found here:
The Mathematical Bias Theory Redux: Why There Probably ‘IS’ a God – in 20 Steps
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