Abstract
This is a fundamental article reporting newly observed mathematical-computational manifestations in Quran. The Principle Variations (PVs) for the purpose of textual analysis will be defined and a Normal Book model based on the stochastic nature of human writing will be developed. It will be shown that chapter word frequencies in Quran fit into an exponential model, in sharp contrast to the uniform distribution model commonly observed for other books. In particular, a phenomenal cross diagonal characteristic of the PVs in Quran will be shown to completely distinguish its exponential structure from observed structures of the world literature. Graphical and Parametric effects of the exponential construct of Quran will be shown through logarithmic plots and Fourier analysis of its PVs. The couplings observed from its variations in addition to an independent analysis of the prime numbers point to π and e, as pillars of the mathematical construct of Quran. Computed parameters of a Stepwise Fourier analysis of the PVs in Quran, reveals a finely regulated Nineteen Based Fourier Structure (NBFS) highly sensitive to the textual manipulations. These observations seem sufficient to qualify Quran as a case of (Multifaceted) Mathematically Fully Constrained Writing (MFCW), a concept defined for the first time in this article. As its prime consequence, a MFCW Quran points to the nonhuman origin of the Arabic language. Interesting observations are also made through Fourier analyses of particular names which can be indicative of an astonishing futuristic vision of Quran. The importance of such mathematical investigations particularly from the MFCW point of view will be emphasized and some relevant future studies will also be outlined.
Highlights
1.1 Motivations and BackgroundThe fact that universe is mathematical is best reflected in the strict formulations of physics which are essential to understanding and describing the physical phenomena
The Mathematically Fully Constrained Writing (MFCW) concept tells us that if a fully encompassing mathematical scheme is to be imposed on the quantitative construct of a text, logically, it is the language of that text that should be constructed based on this mathematical scheme and the reverse is impossible
In this article we first introduced the concept of MFCW, a new concept never introduced before, not because of its any inherent complexity, but because there had been no text known to exist to necessitate its introduction before
Summary
The fact that universe is mathematical is best reflected in the strict formulations of physics which are essential to understanding and describing the physical phenomena. This work is the result of a purely personal research activity, existence of an independent and reliable statistics of Quran (Madi, Quran Suras statistics) used for mathematical analysis presented in this article should by no means be overlooked This is important because Intellaren which is mainly a software producing company provides Quran statistics not for searching miracles but just to show the capabilities of a product for language analysis purposes. This is one of the strengths of the research presented in this article that contrary to many other works in Quran which use self produced or questionable statistics to prove their points, completely independent and systematically verifiable statistics is used for its analyses (note 1)
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