Miraculous Geometry Wonderland: Contemporary Teleological Reasoning for Allah's Existence as Fractal and Differential Metaphors

Teleological argument has been a cornerstone of natural theology, suggesting that complexity and order in the universe imply a purposeful designer. Early forms used biological analogies, while modern expressions incorporate sophisticated mathematical and physical concepts. This paper explores the philosophical and theological use of two such fields: fractal geometry and differential geometry. It argues that while these disciplines cannot, by their very nature, provide a formal "proof" of God's (Allah's) existence, they serve as powerful and compelling metaphorical frameworks for understanding divine attributes such as immanence, transcendence, omnipotence, and omniscience. By examining the self-similarity and infinite complexity of fractals and the elegant, fine-tuned structure of the cosmos described by differential geometry, this paper analyzes how these mathematical concepts are employed to reinvigorate the teleological argument, shifting the discourse from a claim of logical proof to an epistemology of awe and wonder.