Discovering self-similar mathematical patterns across different scales in the Quranic text structure
Fractals are complex patterns that repeat themselves at different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Fractals are found throughout nature - in coastlines, mountains, clouds, and even the human circulatory system.
Recent computational analysis has revealed that sacred texts, including the Quran, exhibit fractal-like properties in their structure, suggesting an underlying mathematical order that transcends conventional literary composition.
The distribution of certain key words follows a power law distribution characteristic of fractal systems, where frequency is inversely proportional to rank.
Many surahs contain concentric ring compositions where themes appear, recede, and reappear in a symmetrical pattern at multiple scales.
Statistical analysis shows that verse lengths follow patterns that exhibit self-similarity when analyzed at different scales.
Major themes of the Quran recur at different scales - from individual verses to entire chapters, showing similar patterns of development.