The book Shams al-Ma'arif al-Kubra is a controversial text that blends numerology, cryptography, and symbolic logic. By deconstructing its elements, we can analyze it using modern computational methods, cryptography, and linguistics.

1. Advanced Cryptographic Analysis

A. Letter-Number Encoding (Abjad System)

The book extensively uses Abjad numerology, where each Arabic letter corresponds to a number. This system is similar to monoalphabetic substitution ciphers, a classical encryption technique.

Letter Value Letter Value أ (A) 1 ن (N) 50 ب (B) 2 س (S) 60 ج (J) 3 ع (A) 70 د (D) 4 ف (F) 80 ... ... ... ...

Modern Cryptanalysis

By applying frequency analysis, we can detect patterns and decipher encoded messages.
Using Python, we can map letter frequencies and compare them to known statistical distributions.

Example Code (Frequency Analysis of Arabic Text):

import collections
import re

text = "Text extracted from Shams al-Ma'arif"  # Replace with actual text

# Remove non-Arabic characters
text = re.sub(r'[^\u0600-\u06FF]', '', text)

# Count letter frequency
letter_count = collections.Counter(text)
print(letter_count.most_common(10))

This can help in detecting recurring letters or hidden messages.

B. Magic Squares and Algorithmic Patterns

The magic squares (أوفاق) in the book are mathematical structures where numbers are arranged so that the sum of every row, column, and diagonal is the same.

Mathematical Properties of Magic Squares

• The sum of each row, column, and diagonal in an n × n magic square is given by: S=n(n2+1)2S = \frac{n(n^2 + 1)}{2}

• They are used in pseudorandom number generation, encryption schemes, and AI applications.

Programming a Magic Square (Python Example)

import numpy as np

def generate_magic_square(n):
    magic_square = np.zeros((n, n), dtype=int)
    
    i, j = 0, n // 2
    for num in range(1, n * n + 1):
        magic_square[i, j] = num
        i -= 1
        j += 1
        if num % n == 0:
            i += 2
            j -= 1
        elif i < 0:
            i = n - 1
        elif j == n:
            j = 0
    return magic_square

print(generate_magic_square(3))

This generates a 3×3 magic square, similar to those found in the book.

2. Computational Linguistic Analysis

A. Pattern Recognition in Text

The book uses repeated phrases, symbolic words, and phonetic patterns, which can be analyzed using natural language processing (NLP).

Applications:

• Hidden meanings in text: Some words may be reversed or encoded.

• Recurrent phrases in incantations: Used for psychological or suggestive effects.

Text Pattern Detection (Python Code):

from collections import Counter
import re

text = "Sample text from Shams al-Ma'arif"  # Replace with actual content

words = re.findall(r'\b\w+\b', text)
word_freq = Counter(words)

print(word_freq.most_common(10))

This reveals which words are most commonly used and may hold symbolic significance.

B. Reverse Speech and Hidden Messages

Some phrases may use reverse speech encoding, a technique similar to steganography.

• Example: "رُوح" (spirit) could be reversed to "حُور" (houris, mystical beings in Islamic tradition).

Reverse Text Script (Python Code):

def reverse_text(text):
    return text[::-1]

print(reverse_text("روح"))

This could reveal hidden meanings embedded within the text.

3. Sound and Frequency Analysis

Certain incantations and chants in the book might rely on sound frequencies that influence human perception.

A. Fourier Transform of Recitations

A Fast Fourier Transform (FFT) can analyze the frequency distribution in audio recordings.

Python Code for Audio Analysis:

import numpy as np
import matplotlib.pyplot as plt
from scipy.io import wavfile

# Load an audio file
sampling_rate, data = wavfile.read('incantation.wav')

# Apply FFT
fft_spectrum = np.fft.fft(data)
freq = np.fft.fftfreq(len(fft_spectrum))

plt.plot(freq, abs(fft_spectrum))
plt.title("Frequency Spectrum of Incantation")
plt.show()

This reveals if certain sound frequencies are deliberately used for psychological or hypnotic effects.

4. Symbolism and Chaos Theory

A. Fractal Structures in Talismans

The talismans in Shams al-Ma'arif resemble fractals, which are self-repeating mathematical patterns.

• Example: The Sierpiński triangle has a structure similar to some geometric talismans.

• Possible link to chaos theory, where small changes in input produce large effects.

Python Code for Generating a Fractal Pattern:

import matplotlib.pyplot as plt
import numpy as np

def sierpinski(n):
    if n == 0:
        return np.array([[1]])
    smaller = sierpinski(n-1)
    return np.block([[smaller, smaller], [smaller, np.zeros_like(smaller)]])

plt.imshow(sierpinski(4), cmap='binary')
plt.show()

This could explain why certain talismanic structures are repeated at different scales in the book.

5. Modern Applications of These Techniques

Surprisingly, some of the methods found in Shams al-Ma'arif have parallels in modern computer science and AI:

Ancient Concept Modern Equivalent Magic Squares Hash functions, encryption keys Abjad Numerology Substitution ciphers, linguistic encoding Incantation Repetition Neural network training (reinforcement learning) Talismans and Geometry Fractal design, chaos theory

Final Conclusion

• The book Shams al-Ma'arif al-Kubra is not just mystical but contains deep mathematical and cryptographic structures.

• Modern techniques such as NLP, frequency analysis, fractal theory, and AI can decode its hidden patterns.

• Its magic squares, letter numerology, and sound frequencies could have applications in encryption, machine learning, and psychological analysis.