Thursday, August 22, 2019

Keajaiban Al-Quran : MATEMATIK Dalam Susunan Surah




Keajaiban Al-Quran : MATEMATIK Dalam Susunan Surah

Sebelum ini saya pernah membuat post yang bertajuk Matematik Dalam Al-Quran. Daripada post tersebut, kita dapat lihat betapa hebatnya Allah dan betapa besarnya mukjizat yang diturunkan oleh Allah kepada Nabi Muhammad s.a.w. Kali ini, saya ingin kongsikan pula berkenaan dengan keajaiban al-Quran dalam Matematik Susunan Surah al-Quran.

KALIMAH ALLAH DAN MUHAMMAD.
Sekiranya koordinat-koordinat (titik-titik yang mewakili kedudukan surah dan bilangan ayat) dicantumkan, kelihatan kalimah Allah terbentuk. Apabila kordinat-kordinat ini cantumkan dengan cara yang lain, maka kalimah Muhammad pula terbentuk!

Apa akan jadi kalau kedudukan surah berubah?
Sekiranya kedudukan surah diubah secara sesuka hati, maka graf kalimah Allah dan Muhammad ini akan runtuh sama sekali. Ini menunjukkan bahawa susunan al-Quran tidak boleh diubah! Sayugia diingatkan bahawa semasa al-Quran diturunkan 1400 tahun yang lalu kertas graf belum wujud! bahkan seperti yang telah saya nyatakan sebelum ini, sistem nombor pun belum wujud!

Kehebatan dan kecanggihan susunan surah-surah al-Quran boleh jiga disaksikan apabila kita membuat analisis keatas nombor-nombor surah dan jumlah ayat bagi setiap surah. Sekiranya kita campurkan nombor-nombor surah al-Quran, iaitu (1+2+3+4+5+6+7+8+8+10+..+..+..+... hingga +114 (nombor surah terakhir) jumlah campuran tersebut ialah 6555. Sekiranya dicampurkan semua ayat al-Quran (dari surah pertama hingga surah ke-114, iaitu surah terakhir) jumlahnya ialah 6236.

Surah-surah al-Quran dan jumlah ayatnya boleh dikategorikan kepada Nombor surah yang ganjil yang mempunyai bilangan ayat ganjil. Nombor surah ganjil yang mempunyai bilangan ayat genap. Sebagai contoh nombor surah ganjil yang mempunyai bilangan ayat ganjil ialah surah al-Fatehah. Surah ini surah nombor 1 dan bilangan ayatnya 7. Satu contoh lagi ialah surah Hood iaitu surah 11 bilangan ayatnya ialah 123. Nombor surah ganjil yang mempunyai bilangan ayat genap pula sebagai contoh ialah surah ke 3 iaitu surah ali-Imran yang mempunyai bilangan ayat 200. Satu lagi contoh ialah surah ke-5 iaitu surah al-Maidah yang mempunyai bilangan ayat 200 ayat. Satu kategori lagi ialah nombor surah genap yang mempunyai bilangan ayat ganjil dan nombor surah genap yang mempunyai bilangan ayat genap. Sebagai contoh surah surah ke-6 iaitu surah al-An'am mempunyai 165 ayat dan surah ke-2 iaitu surah al-Baqarah yang mempunyai bilangan ayat 286 ayat. Sekiranya surah-surah ini dikategorikan kepada sama jenis dan berlainan jenis umpamanya kategori sama jenis ialah (nombor surah ganjil yang mempunyai bilangan ayat ganjil dan nombor surah genap yang mempunyai bilangan ayat genap) jumlah semua surah dalam kategori ini ialah 57 surah, sementara satu kategori lagi ialah kategori berlainan jenis iaitu surah yang mempunyai nombor genap yang mempunyai bilangan ayat ganjil dan nombor surah ganjil yang mempunyai bilangan ayat genap, jumlah surah dalam kategori ini juga ialah 57 surah. Ini menunjukkan perimbangan surah-surah al-Quran!. Susunan yang lain tidak akan menghasilkan perimbangan. Sekiranya semua nombor yang terkandung dalam kategori sama jenis termasuk semua nombor surah dan jumlah ayat dicampurkan, jumlahnya ialah 6236 iaitu sama dengan campuran semua ayat al-Quran, mengapa jumlahnya boleh sama dengan jumlah campuran semua ayat al-Quran? dan apabila semua nombor yang terdapat dalam kategori berlainan jenis dicampurkan termasuk npmbor-nombor surah, jumlahnya ialah 6555, mengapa jumlahnya sama dengan mencampurkan semua nombor surah?. Jumlahnya sama kerana susunan surah-surah tersebut. Sekiranya susunan surah dan bilangan ayat diubah, maka perimbangan ini akan musnah sama sekalui. Quran tak boleh diubah!

Persoalan-Persoalan Menarik!
Bagaimana susunan surah-surah al-Quran boleh seimbang antara jumlah campuran nombor-nombor surah dengan campuran surah-surah dalam kategori yang tidak sama jenisdan bagaimana jumlah campuran semua ayat al-Quran sama dengan campuran surah-surah dalam kategori sama jenis sedangkan pada masa itu belum wujud lagi sistem nombor? PASTI INI SEBAGAI BUKTI MAHABIJAKSANANYA ALLAH S.W.T. DAN MAHA MENGIRANYA ALLAH S.W.T.

Keseimbangan Yang Lain
Sekiranya nombor surah dicampurkan dengan bilangan ayatnya, umpamanya surah al-Fatehah adalah surah 1 dan bilangan ayatnya 7 (1+7=8), surah al-Baqarah surah 2 dicampurkan dengan bilangan ayatnya (2+286=288) dan seterusnya sehingga surah terakhir surah ke-144 iaitu surah an-Nas bilangan ayatnya 6 (114+6=120). Sekiranya jumlah campuran antara nombor surah dengan bilangan ayat yang jumlahnya ganjil dicampurkan semuanya, jumlahnya ialah 6555 iaitu sama dengan jumlah campuran semua nombor surah. Dan sekiranya jumlah campuran antara nombor surah dan bilangan ayat yang jumlahnya genap dicampurkan semuanya, jumlahnya ialah 6236 iaitu sama dengan jumlah ayat al-Quran. Sekiranya diubah kedudukan surah maka jumlah ini tidak akan dapat dihasilkan.

Keseimbangan Ini Lebih Menakjubkan!
Sekiranya nombor-nombor surah ganjil yang mempunyai bilangan ayat ganjil dicampurkan sekali, jumlahnya ialah 1551. Nombor-nombor surah tersebut adalah seperti berikut. 1, 9, 11, 13, 15, 17, 25, 27, 29, 33, 35, 39, 43, 45, 57, 63, 81, 87, 91, 93, 97, 101, 103, 105, 107, 111, 113. Pembaca boleh gunakan mesin kira untuk mengiranya, tapi cuba bayangkan zaman Nabi dimana sistem angka belum ada. Jumlah campuran nombor-nombor surah ini ialah 1551. Sekarang campurkan pula nombor surah genap yang mempunyai bilangan ayat ganjil. Nombor-nombor surah tersebut ialah: 6, 8, 10, 12, 20, 26, 36, 40, 42, 44, 46, 48, 50, 52, 54, 60, 62, 76, 82, 84, 86, 92, 96, 100, 104, 108, 110. Jumlah campuran nombor-nombor surah ini ialah 1554. Sekarang campurkan jumlah campuran nombor surah ganjil yang mempunyai bilangan ayat ganjil (1551) dengan jumlah campuran nombor surah genap yang mempunyai bilangan ayat ganjil. (1554). (1551+1554=3105). Sekarang kira berapa banyak nombor-nombor surah tersebut? Nombor-nombor surah adalah 54 semuanya. Berapa pula bilangan surah dalam al-Quran? Bilangannya ialah 114. Lihat formula ini:

Bilangan surah yang mempunyai bilangan ayat ganjil (54), bilangan surah dalam al-Quran ialah 114. Jumlah campuran 3105= 54 / 2 X (114 +1)=27 X 115. Sekiranya susunan nombor surah ini diubah sesuka hati seeperti yang dicadangkan oleh orientalis Barat, maka jumlahnya tidak boleh disesuaikan dengan formula (jumlah surah/2 X Bilangan surah al-Quran +1).
Sekiranya nombor-nombor surah yang mempunyai bilangan ayat genap pula dicampurkan, jumlahnya ialah 3450. 3450= (Bilangan surah yang mempunyai bilangan ayat genap)/2 X (Bilangan surah al-Quran +1)=60/2 X (114 +1)=30 X 115.

Ada sesiapa yang boleh menolak ini sebagai satu yang menakjubkan. Ingat semasa al-Quran diturunkan, sistem nombor belum wujud!.

Can anybody refute this as an amazing phenomena. Bear in mind that there were no number system when the Quran was revealed!

Graf daripada Microsoft Excell
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Wednesday, August 21, 2019

x
Theory  
.1  
Quran Constant  
This study recognizes the importance of the numerical value that represents mathematically the combination  
of both the textual content and the organizational structure/arrangement of the Quran. This numerical value  
will be referred to in the current study as Quran Constant (QC). Indisputably, this constant should not permit  
any change in the text (omissions or additions) or change in the physical structure of the Quran (moving  
verses from chapter to another or deleting a verse or adding a verse). Indeed, this constant (QC) provides a  
protection mechanism against any attempt to change the text or the organizational structure of the Quran.  
The Quran Constant will instantaneously expose any slight distortion of the Quran’s text or physical  
structure/arrangement. Overall, the Quran Constant can be considered as the numerical value that represents  
the mathematical design of the Quran from both textual and organizational structure perspective.  
Mathematically, the total Abjad value (AV) of the whole Quran (the Quran consists of 325384 letters with  
total Abjad value equals 23506544) can be used to represent the textual content of the whole Quran (see  
Table 4). Definitely, any change to the text of the Quran will be directly reflected upon the total Abjad  
value, especially additions or omissions or textual distortion. It is apparent that the total Abjad value of the  
Quran can be perceived as being the value that controls the text in the Quran, this implies that any distortion  
to the text will force the total Abjad value to change. Therefore, the first value to be considered in  
determining the Quran Constant is logically the total Abjad value of the Quran (AV=23506544).  
The second numerical value must have the mathematical properties that control the organizational structure  
of the Quran. Definitely, the structural design of the Quran is basically related to chapters and verses and  
how verses are distributed among different chapters, each chapter has certain number of verses ranging from  
3
to 286 verses. The distribution of verses among chapters has been historically confirmed to be a divine  
institution (Haleem, 2005). The chapter/verse distribution is an important criterion to gauge the way the  
Quran is structurally organized into chapters. The one and the only numerical value which can be potentially  
a candidate to play the role of preserving the structure/arrangement of the Quran is the cumulative sum of  
verse numbers (333667) (Table 2). Definitely, this numerical value governs the organizational structure of  
the Quran, whereby it does not permit any movement of any verse from chapter to another or adding or  
deleting a verse. Thus, this important number acts as a protection mechanism against any attempt to tamper  
with the physical structure/arrangement of the Quran.  
Up to now, this number (333667) has not been given its due in all studies conducted in relation to the  
numerology of the Quran. However, this number, 333667, will be the cornerstone of this study since its  
value has a direct influence on the organizational structure/arrangement of the Quran. Surprisingly, this  
number has many unique attributes and characteristics that make it one of the most important, if not, THE  
most important six-digit prime number. As far as the Quran is concerned, the sum of its digits  
(
3+3+3+6+6+7) equals 28 (which is the total number of Arabic alphabets) and this number (28) plays an  
important role in the forthcoming analysis of current study. Further, if we multiply each digit of this prime  
number with the next digit and add the results (3 3+3 3+3 6+6 6+6 7), it gives 114 and this equals the  
total number of the Quran chapters. Furthermore, this 6-digit prime number has many interesting  
mathematical properties that distinguish it from all 6-digit prime numbers. First, 333667 prime factor is the  
largest prime factor of the palindrome 12345678987654321. Second, the greatest prime factor of 9-digit  
repdigit is 333667. Third, when any 3-digit number is multiplied by 333667 and 3, the result will always be  
the same 3-digit number replicated 3 times. For example, 111x333667x3=111111111. Truly, it can never be  
a mere coincidence that the sum of the Quran verses numbers equals 333667 because this unique six-digit  
prime number is unlikely to be used in the design of the Quran through human involvement at the time when  
the Quran was revealed 1400 years ago. Definitely, today’s numbering systems didn’t exist at the time of the  
revelation of the Quran and obviously no human at that time may have appreciated the unique and  
interesting mathematical properties of this prime number (333667). Therefore, it must be a divine power  
supernaturally designed the Quran in such a way that the total sum of the Quran verses numbers equals  
3
33667.  
The Quran Constant (QC) can be considered as the numerical value that exposes any slight distortion or  
change in the Quran’s text and/or its structure/arrangement. Since Almighty God promised to protect the  
Quran from both textual and structural distortions so the Quran Constant can be the mathematical measure to  
achieve that protection. Thus, to serve this objective, the Quran Constant will be derived by dividing the  
total Abjad value of the Quran (23506544) with the cumulative sum of verse numbers in the Quran (333667).  
We write  
2
3506544  
Quran Constant(QC)   
 70.44911244.  
(1)  
3
33667  
QC is a measure of Abjad value per each value of the cumulative sum of verse numbers. Thus, one can say  
that the Quran was mathematically coded and structured based on the numerical value of the Quran  
Constant. Therefore, the Quran Constant is a measure of mathematical design of the Quranic contents. This  
implies that when the Quran was revealed 1400 years ago, Almighty God designed and constructed the Holy  
Quran in such a way that each value of the cumulative sum of verse numbers holds a value of 70.44911244 of  
Abjad value. Further, the current theory recognizes that since the Quran Constant numerically resembles the  
way Quran was mathematically designed, structured and configured. Consequently, the Quran Constant  
must have the keys to unlock the secrets of the Quran, such as unleashing numerically the Quran statistics  
(words, verses and chapters) and revealing the Quran’s numerical connection with the golden ratio.  
4
.2 Quranic Golden ratio  
The golden ratio (Ф) is mathematically simple and usually approximated to 1.618. There are many  
interesting mathematical properties that have been attributed to the golden ratio which make it unique  
among all numbers (Kak, 2009). The golden ratio has pervasively manifested in the design and construction  
of many living and non-living objects in nature. Indeed, the golden ratio possesses the mathematical  
properties and characteristics that numerous natural objects and phenomena seem to follow. Many scientists  
have called the golden ratio as God’s fingerprint which shows up all over in nature (Livio, 2008; Zonnefeld,  
2
015). In nature, any product design based on golden ratio seems to be naturally connected with a Creator -  
the Master Engineer. Categorically, this divine ratio is a naturally occurring mathematical principle. Many  
believe that the golden ratio is a fundamental characteristic of the universe (Hejazi, 2004; Livio, 2008; Kak,  
2
009). Because of the golden ratio’s unique mathematical properties, all divine scriptures have been  
extensively subjected to varying degrees of numerical analysis to associate them in a way or another to the  
golden ratio in order to prove their divinity, credibility and divine authorship (Man, 2002). In fact, the  
golden ratio has been reported to have an interesting theological trajectory. As far as I am aware, as yet, no  
research findings have been reported to have linked any of the divine scriptures to the golden ratio.  
One of the main intentions of this study is to demonstrate if there is any numerical connection between the  
Quran and the golden ratio. Indeed, it has been proved beyond doubt that many living and non-living objects  
follow the mathematical rules and properties of the golden ratio. Definitely, if the Quran was crafted by  
Almighty God it is most likely that there exists a connection between the Quran and the golden ratio. The  
current study proposes that if there is a basis for a supernatural intelligent design in the Quran then logically  
the golden ratio may have been the primary foundation for its overall design.  
The current study has already computed an index called the Quran Constant (QC) that governs the aspects of  
textual content and physical structural design of the Quran. Thus, it is mathematically demonstrable to  
suggest that this numerical index symbolizes the mathematical design of the Quran. In other words, the  
Quran has been transformed into an index called the Quran Constant (QC 70.44911244) that can be used  
=
to guarantee the preservation of both the text and the structure/arrangement of the Quran. Consequently, this  
index will be carried forward in this study for further analysis. Furthermore, it is known that the Noble  
Quran has various important numerals that constitute its structure and design. The most highly visible  
among Muslims is the total number of chapters, whereby the Quran is comprised of 114 chapters of varying  
lengths ranging from 3 to 286 verses and each verse varies in length from two letters to a full page. In other  
words, the text of the Quran is physically organized in 114 chapters and was performed through divine total  
involvement according to multiple references (Yauri et al., 2012; Almujalli, 2014; Aboul-Enein, 2016).  
Therefore, an important question to be asked, is there any quantitative connection between the Quran  
Constant (70.44911244) and the total number of chapters (114)? We write  
1
14  
114  
1.618189301.  
(2)  
QC 70.44911244  
It is remarkably interesting that the ratio of the total number of chapters of the Quran (114) which represents  
the physical design of the Quran and the Quran Constant (70.44911244) which represents the mathematical  
design of the Quran is extremely in close agreement with the ideal golden ratio (1.6180339887) and the  
ideal/calculated ratio is within 99.99%. Highly accurate evaluation of the golden ratio in the Quran and other  
Holy Books has never been achieved before, even though, many different studies of varying methodologies,  
approaches and techniques have been implemented on all monotheistic scriptures (Man, 2002). Definitely,  
this remarkable result is extraordinarily compelling evidence that provides a clear support for the divine  
authorship of the Quran. More importantly, this study has its own unique peculiarity in comparison with  
other studies since it has incorporated all textual content of the Quran, including the 112 un-numbered  
Basmalahs and the names of Quran chapters. Therefore, the calculated golden ratio in this study revealing a  
strong connection with the whole textual content of the Quran, unlike most previous studies and analysis  
which have focused primarily on a small subset of the Quran (Akhtaruzzaman and Shafie, 2011).  
Undoubtedly, this important result comprehensively proves that the Quran is structured in a way that it  
follows the golden ratio pattern and therefore according to a superhuman intelligent design. The presence of  
the golden ratio in the design and structuring of the Quran implies that there must be a Creator for this Holy  
Book (Livio, 2008). Indeed, without any reasonable doubt, this mathematical phenomenon cannot happen by  
sheer coincidence or chance because the probability of having this great mathematical phenomenon in the  
design of the Quran is almost infinitesimal. In conclusion, the numerical evidence provides by this study is  
so thoroughly convincing and conclusive to the effect that anyone can unequivocally believe that the  
Quranic design and development must be meticulously inspired and conducted by superhuman power of  
Almighty God.  
4
.3  
Words total in the Quran  
The development of a mathematical relationship or an algorithmic equation to determine the total number of  
words in a human authored book is so overwhelmingly impossible task. In fact, it is absolutely unattainable  
to link numerically the relationship between the total number of letters and the total number words in a  
human designed book. Such scenario could only be achievable if supernatural intelligent design has been  
responsible for authoring the book. The big question: does the Quran have an embedded mathematical  
formula that leads to the knowledge of the ratio of the total number of letters and the total number of words?  
To answer this, we need to compute a numerical value that represents one of the mathematical  
characteristics of the Abjad numerals. As far as I am aware, no one has yet used this mathematical property  
of the Abjad numerals in the numerology of the Quran. The importance of this numerical value has clearly  
manifested in the current study because this study has observed that Almighty God embeds a unique  
mathematical relationship between this numerical value and the Quran Constant that will surprisingly lead to  
the ratio of the total number of letters and the total number of words of the Quran with extremely high  
accuracy. This numerical value is given the symbol, . In the Abjad numerals system the 28 Arabic  
A
alphabets are assigned values from 1,2,3,…to 7,8,9, then 10,20,30,….to 70,80,90, then 100,200,300…..to  
1
000) (Table 1). We define A mathematically as follows  
28  
1
A  
,
(3)  
AV(n)  
1  
th  
where AV(n) is the Abjad value of the n alphabet (Table 1). Thus  
2
8
1
1 1 1  
 (   ...   
AV(n) 1 2 3 9 10 20  
1  
1
1
1
1
1
1
1
1
 ).  
A  
...  
...  
(4)  
90 100 200  
900 1000  
Therefore  
2
63857  
4000  
A  
 3 .1 411547619.  
(5)  
8
This numerical value is a property of the Abjad numerals and constant for any textual book written in Arabic  
language whether it is a divine scripture or human authored book. Surprisingly, the sum of the first 28 digits  
of A   3.141154761904761904761904761) is equal to 114, the total sum of the Quran’s chapters.  
(
A
We recall that the Quran Constant (QC) has been computed and is directly proportional to the Abjad value  
of the Quran. However, A was calculated and it is inversely proportional to the Abjad value. Therefore,  
generally we expect that there is an exponential relationship between the two numerical values: QC and A ,  
(Figure 3), such as  
1
QC   
,
(6)  
(7)  
A  
or  
qLW  
QC A  
,
where qLW is an exponential proportionality constant. By taking the natural algorithm of both sides of  
equation and substitute for QC and  , we get  
A
log (QC)  
log (70.44911244)  
e
 3.717391219.  
e
qLW  
(8)  
log ( ) log (3.1411547619)  
e
A
e
Remarkably, the result (qLW =3.717391219) obtained is almost practically identical to the actual ratio of the  
total number of letters divided by the total number of words (letters/word ratio) in the Holy Quran  
(325384/87530= 3.717399749). Further, according to this result, the total number of words in the Quran can  
be calculated to give  
Total Quran's letters  
qLW  
325384  
Total number of words   
 87530.20085.  
(9)  
3.717391219  
According to the first drawing of the Quran (the way the Quran was written and documented under the direct  
guidance and supervision of Prophet Muhammad), the actual total number of words in the Quran is 87530  
(Table 4). This is a miraculous correspondence between the theoretical result obtained by the current study  
and the Quran (the actual/calculated ratio is within 99.9998%). More importantly, the calculation of qLW  
can be seen largely as a validation criterion of both the total number of letters and the total number of words  
in the Quran. Definitely, the mathematical formula obtained in this study proves without any reasonable  
doubt that Almighty God, in a supernatural way, embedded the ratio of the total number of letters and the  
total number words in a mathematical system that governs the structural design and composition of the  
Quran. Definitely, this amazing mathematically-based invisible, unobservable phenomenon in the Quran as  
manifested by the numerical determination of the total number of words provides an overwhelming tangible,  
brilliant and convincing proof of its authenticity and divine revelation. Certainly, there can be no natural or  
earthly explanation of this mathematical phenomenon.  
4
.4  
Verses total in the Quran  
It is never an easy task to provide the theoretical means to evaluate the total number of verses in the Quran  
because how words of the Quran are distributed among verses can never be known or predicted  
mathematically. In fact, some verses are two letters words and some between one-half and one full-page.  
However, this type of analysis could be practically possible if Almighty God has embedded some  
mathematical structure that lends itself to simplify the computation.  
For the calculation of the total number of verses in the Quran and in accordance with how the Quran is  
mathematically structured, we need to derive another important mathematical properties of the Abjad  
numerals, whereby the current study has noticed that such value together with the Quran Constant (QC) will  
numerically simplify the mathematical calculation of the ratio of total number of verses divided by the total  
number of letters through a hierarchical mathematical structure corresponds with the chain of verse-word-  
letter system. This numerical value (q ) is defined as  
V
28  
  
AV(n),  
V
(10)  
1  
where AV(n) is the Abjad value of the n alphabet (Table 1). Therefore  
th  
28  
  
 AV(n)  (1  3...9 10  20 ... 90 100  200 ...900 1000)  5995.  
(11)  
V
1  
Again, this numerical value (qV =5995) is constant whether the text under investigation is of divine nature  
or human-authored nature. If we add up the four digits (5+9+9+5), it surprisingly gives 28. The hierarchical  
mathematical structure of the chain of verse-word-letter system plays an important role in determining the  
total number of verses in the Quran. In fact, we need to develop two relationships to compute the total  
number of verses through the chain of verse-word-letter system because verses are composed of words and  
words are composed of letters. The interrelation between the two values (QC and qV ) can be utilized in  
accordance with how Almighty God structures the relationships between them to evaluate the total number  
of verses of the Quran. In the current theoretical study, we need to realize that the heart of all calculations is  
the Quran Constant. Indeed, in accordance with how Almighty God embeds the mathematical structure in  
the Quran’s composition, the mathematical relationships between verses, words and letters can be grouped  
in two (see Figure 4):  
(
1) The first relationship (r ) between qV and QC, the relationship between them is linear because each of  
1
them was defined and derived based on direct proportionality with the Abjad value.  
(
2) The second relationship (r ) consists of two links: the first link between qV and  , and this link is  
2
A
exponential because A was defined and derived based on inverse proportionality with the Abjad value  
AV). The second link is between A and QC, and this link has already been investigated in the previous  
(
section and it is an exponential one. Apparently, in accordance with how Almighty God embeds the  
mathematical structure in the Quran, the two relationships are interrelated with verse per letters ratio in the  
following manner:  
qVL  r  r ,  
(12)  
1
2
where qVL is the ratio between the total number of verses divided by the total number of letters. In order to  
comply with how Quran has been mathematically structured, we need to take the natural algorithm of both  
sides of equation (12), so we get  
log (q )  log (r )  log (r ).  
(13)  
e
VL  
e
1
e
2
Therefore, as discussed above (Figure 4) we substitute in equation (13) for log (r ) by log (QC/q ) and  
e
1
e
V
for log (r )(this relation consists of two links and its numerical value is equal to the multiplied values of  
e
2
both links and this complies with the way the Quran mathematically structured) (see Figure 4) by  
log ( ) log (QC) log (QC)  
e
A
e
e
*
.
log (q ) log ( )  
log (q )  
e
v
e
A
e
v
We have  
QC  
log (QC)  
e
log (q )  log ( )  
.
v
(14)  
e
VL  
e
q
log (q )  
v
e
We substitute for QC and qV in equation (14), we obtain  
7
0.44911244  
log (70.44911244)  
e
log (q )  log ( )  
e
VL  
e
5995  
log (5995)  
e
-4.443790428  0.489142044.  
log (q )  3.954648384.  
(15)  
(16)  
(17)  
Thus  
e
VL  
Consequently  
qVL  0.019165406 Verse/letters.  
Therefore  
Total number of verses  325384 0.019165406  6236.116466.  
(18)  
The actual total number of verses in the Quran= 6236 (Table 2). The amazing correspondence between the  
calculated numerical value and the actual value (the actual/calculated ratio is within 99.998%) provides  
concrete evidence that the Quran is a definitive divine revelation. Indeed, the elegant relationship in  
equation (14) embedded by Almighty God, the Master Engineer, is straightforward and yet there is no  
earthly explanation of how different parameters in the Quran and the mathematical properties of Abjad  
numeral system are structured and arranged to achieve this remarkable mathematical phenomenon.  
4
.5  
Chapters total in the Quran  
Any attempt to compute the total number of chapters in the Quran is undoubtedly extremely challenging and  
unachievable task. Apparently, how the Quran was organized into chapters is simply mysterious to humans.  
There is no trace of any kind of how verses were distributed among the 114 chapters and these are varying in  
length from 3 to 286 verses. Any successful effort to evaluate the total number of chapters in the Quran must  
be implemented through mathematical structure that divinely embedded in the Quran’s composition. The  
current study will expose the secret and unlock the mathematical knowledge necessary to derive the  
equation from which the total number of the chapters can be simplistically determined.  
The normal chain of the Quran consists of chapter-verse-word-letter. However, the current study has  
observed that the mathematical structure embedded in the Quran only provides tracking of three parameters  
(chapter-verse-word). The interrelated relationships between these three parameters (chapter, verse and  
word) will be analyzed for the purpose of determining the equation for the ratio of words per chapter.  
To achieve this objective, we need first to determine a numerical value that plays a central role in the  
forthcoming numerical analysis. This numerical value (qC ) will be used in the current study together with  
QC, and qV to derive the equation needed to determine the ratio of words per chapter in the Quran. The  
definition of qC mathematically will be as follows  
2
8
1
  
 AV(n) .  
(19)  
C
AV(n)  
1  
It is clear that the two expressions inside the square bracket in equation (19) are similar to those defined for  
A and qV (See equations (3) and (10)). On simplification of equation (19), we have  
28  
  
  
1
[111...111]  28.  
(20)  
C
1  
This is very interesting numerical value and it represents the total number of Arabic alphabets which is the  
same as the total number of digits the Abjad numeral system consists of. Thus, qC is a constant value and a  
characteristic of the Abjad numerals whether the text is divine-based or human-based. The mathematical  
relationships between chapters, verses and words can be grouped in two as set by the divinely embedded  
mathematical structure of the Quran (see Figure 5, no link between qV and QC exists in this figure because  
there is no connective relationship between words and letters in the process of calculating the total number  
of chapters):  
(
1) The first relationship (r ) between qC and q , the relationship is linear because qV was defined and  
3
V
derived based on direct proportionality with the Abjad value (AV) and qC is a constant value.  
(
2) The second relationship (r ) consists of two links: the first link between qC and  , and this link is  
4
A
exponential one because A was defined and derived based on inverse proportionality with the Abjad value.  
The second link is between A and QC, and this link has already been investigated and it is an exponential  
one. Actually, with regard to how Almighty God embeds the mathematical structure in the Noble Quran,  
both relationships (r and r ) are interrelated with words per chapter ratio as follows  
3
4
qWC  r  r ,  
(21)  
3
4
where qWC is words per chapter. Similar to the above, we take the natural algorithm of both sides of  
equation (22), thus we have  
log (q )  log (r )  log (r ).  
(22)  
e
WC  
e
3
e
4
Consequently, as discussed above (Figure 5) we substitute in equation (22) for log (r ) by log (q /q )  
e
3
e
V
C
and log (r )(this relation consists of two links and its numerical value equals the multiplied values of both  
e
4
links and this agrees with the way the Quran is mathematically structured) (see Figure 5) by  
log ( ) log (QC) log (QC)  
e
A
e
e
*
.
log (q ) log ( )  
log (q )  
e
C
e
A
e
C
We have  
q
log (QC)  
V
e
log (qWC)  loge( )  
.
C
(23)  
e
q
log (q )  
C
e
We substitute for the values of q , qC and QC in equation (23), we get  
V
5
995  
log (70.44911244)  
e
log (qWC)  loge( )  
e
28  
log (28)  
e
5.366476557 1.27689961  6.643376167.  
(24)  
Therefore  
qWC  767.6824469 Words per chapter.  
(25)  
However, it is more appropriate to calculate letters per chapter (qLC ) because this theory has been  
developed primarily around Quran’s letters (however, the difference in calculating the total number of  
chapters in the Quran whether we use words per chapter or letters per chapter are too small to be  
significant). We write (letters/chapter=letters/word*words/chapter)  
q  q q ,  
(26)  
LC  
LW  
WC  
where qLC is letters per chapter and qLW (=3.717391219 ) is letters per word (see subsection 4.3).  
On substitution for qLW and qWC in equation (26), we have  
q  3.717391219767.6824469  2853.7759871 Letters per chapter.  
(27)  
LC  
Consequently  
Total Quran letters  
325384  
Total number of chapters in the Quran   
114.01876.  
(28)  
Letters per chapter 2853.7759871  
However, the Quran is physically organized in 114 chapters (Surahs). This study provides a theoretical value  
of the total number of chapters (=114.01876). This incredible agreement between the theoretical result of  
this theory and the actual value (the actual/calculated ratio is within 99.984%) proves that Quran is  
mathematically designed and structured far beyond human capability and comprehension. The truth of the  
matter is that no human element will have the capacity to even come close to realize how the Quran is  
organized in 114 chapters in order to make this powerful mathematically-based phenomenon a reality. In  
conclusion, this mathematically-based theory is probably the most solidly concrete, thoroughly convincing,  
absolutely conclusive, extraordinarily impeccable and theoretically provable discovery of all time that  
provides an overwhelmingly clear manifestation of God’s revelation of the Quran.  
5
.
Contributions and concluding remarks  
One of the most prominent features of this theory that it is totally based on text delivered to Prophet  
Muhammad and drawn using the primary 28 alphabets of the Arabic language which consists of 6236 verses  
and physically organized in 114 chapters (Uthmanic manuscript). A letter is counted if it is physically  
written (similar to English language) and this precisely corresponds to the first drawing of the Quran.  
A key contribution of this work is the determination of the Quran Constant (70.44911244) which represents  
the mathematical design of the Quran. This numerical value can be used for preserving the Quran from any  
distortion and alteration. The Quran Constant has proved to be of vital importance for the determination of  
many important numerical features in the Quran such as the total number of Quran’s primary Quran  
statistics (words, verses and chapters).  
This is the first study to prove beyond any reasonable doubt that the mathematical design of the Quran is  
predominantly based on the golden ratio. Indeed, this theory has definitely revealed that the Quran’s  
mathematical composition follows the golden ratio principles. Indeed, the present finding provides clear  
evidence of supernatural intelligence in the design of the Quran.  
One of the most seminal contributions of this theory is the determination of the Quran primary parameters.  
This theory has revealed that the Quran was mathematically-structured through divinely embedded design  
based on the Abjad numerical system, and as a result elegant equations have been derived for calculating the  
Quran basic statistics (words, verses and chapters) with extremely high accuracy. More significantly, the  
ratio between the total number of letters divided by the total number of words (qLW =3.717391219)  
determined in this study can be practically seen as a validation criterion of both the total number of letters  
and the total number of words in the Quran. What has been achieved regarding the primary Quran statistics  
in this study is in itself a remarkable contribution, and this provides overarching evidence that the Quran is  
inimitable and a supernatural force beyond human capability has been involved in its design, institution and  
authorship.  
Based on the findings of the current theory, it has been mathematically supported that the Quran as a divine  
entity is composed textually of three components: the Quran that consists of 6236 verses (114 chapters), the  
1
12 un-numbered Basmalahs and the names of the 114 chapters. Indeed, this is the first study to  
acknowledge theoretically and mathematically that the 112 un-numbered Basmalahs and the names of the  
Quran’s chapters are divinely inspired. This is by itself a notable contribution.  
This is the first study to have discovered that the Quran was structured and organized according to Abjad  
numerals. This implies that the Quran has been mathematically coded via Abjad numerals, which is in itself  
a great contribution in its own right. This proves beyond doubt that the Quran was divinely inspired. To the  
best of my knowledge this is the first study to prove theoretically that the gematrical numeral systems is the  
mathematical language that governs the structure and design of a monotheistic book like the Quran. What  
does this mean? For one thing, it means that we are witnessing a mathematical-based phenomenon of earth  
shattering proportions. Also, this proves that Abjad numerals are valid numerological decimal systems.  
Thus, Abjad numerals cannot be thought of any more as borne out of a mere randomness or chance. Indeed,  
I would like to go further by stating that gematrical-based systems are most likely to be divinely-inspired.  
Given the nature of the results of the current study, one can categorically recognize that the Quran is  
perfectly protected and preserved from all forms of changes and alterations. This implies that the Quran has  
never undergone any type of distortion or loss or any corruption or alteration or tampering from the day it  
was revealed some 1400 years ago. Therefore, this theory has authenticated the first drawing of the Quran  
and proved the credibility of the Uthmanic manuscript which is identical to the original revealed text.  
Indisputably, the divine authorship and authenticity of the Quran have been theoretically established and  
confirmed.  
Finally, the outcomes of this theory genuinely provide further evidence to substantiate and consolidate that  
Muhammad is a true Messenger of God.  
6
.
Implications  
Indeed, beyond any doubt, this study has brought about a new research direction and new research thinking  
in numerological studies of the Quran. As a result, a new door is now open for new research venues  
and new insights in the science and frontiers of Quran numerology. Apparently, it is expected that scientists  
and researchers will carry out more extensive research on the Quran using Abjad numerals. Indeed, these  
areas of research have been misjudged and misinterpreted before because of the negative attitudes of few  
leading researchers in the field who have been always pushing research away from using the concept of  
gematria in the science of the Quran numerology. This is because, according to them, no one has yet  
achieved any significant outcome in that regard. In addition, the current theory could prove potentially  
useful for revealing new mathematical trends, patterns and structures in the Quran that will genuinely  
provide further proof to authenticate and substantiate the fact that the message of the Quran is  
divinely protected and brilliantly codified beyond human capability (study in preparation).  

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Keajaiban Al-Quran : MATEMATIK Dalam Susunan Surah

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