This Strange Loop phenomenon is reminiscent of Bohm's ideas about cosmic feedback, about the recycling exchange between the explicate and implicate orders of the cosmos. His Cosmic Ground grows in complexity and sophistication through the process of feedback. Bohm's theory about this process of enfoldment and unfoldment does not appear too dissimilar from Hofstadter's Strange Loops. Strange Loops are a kind of iteration, and there is also a correspondence to be found in fractal geometry. Fractals can be generated by iteration.
Fractal geometry shows that shapes have self-similarity at descending scales.
The iterations of Strange Loops could also be compared with those present in the feedback cycle of chaos and order. Peat strongly suggests that chaos and order are an indivisible, potentially creative process. For Bohm, it is the Cosmic Knower, the fundamental Ground of the Universe. For Whitehead, it is the God of the Cosmic Process. For Siler, it is the universe as an Encoded Monolith.