THE FIBONACCI SERIES
The Fibonacci number series is more fundamental to the order of the natural world than any other number series. It is formed by adding each number with the previous in order to get the next number in the series:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55 … to infinity
The Fibonacci numbers can be stated as follows:
PRESENT + PAST = FUTURE
Notice that this is a CONSCIOUSNESS-REQUIRING series. It “looks” towards the future by adding the present with the past. Remarkably, the Fibonacci numbers are intimately linked to what is known as the “Golden Ratio”, which is found throughout the natural world (see here: Golden Ratio).
The book of Revelation records a vision of 24 Elders around the eternal throne of the Creator (the Supreme Master of the Golden Ratio) as follows:
REVELATION 4:4
“And round about the throne were 24 seats: and upon the seats I saw 24 Elders sitting, clothed in white raiment; and they had on their heads crowns of gold”
Incredibly, there is an infinitely repeating cycle of 24 digits in the Fibonacci number series (which is related to the Golden Ratio that is found throughout the natural world): When we break each Fibonacci number down to its Digital Root, it yields the exact same cycle of 24 digits to infinity (see here: Fibonacci Digital Root Cycle). Here are the first 24 Fibonacci numbers broken down to their Digital Roots:
1) 1 = (1)
2) 1 = (1)
3) 2 = (2)
4) 3 = (3)
5) 5 = (5)
6) 8 = (8)
7) 13 = (1 + 3 = 4)
8) 21 = (2 + 1 = 3)
9) 34 = (3 + 4 = 7)
10) 55 = (5 + 5 = 10 = 1 + 0 = 1)
11) 89 = (8 + 9 = 17 + 1 + 7 = 8)
12) 144 = (1 + 4 + 4 = 9)
13) 233 = (2 + 3 + 3 = 8)
14) 377 = (3 + 7 + 7 = 17 = 1 + 7 = 8)
15) 610 = (6 + 1 + 0 = 7)
16) 987 = (9 + 8 + 7 = 24 = 2 + 4 = 6)
17) 1597 = (1 + 5 + 9 + 7 = 22 = 2 + 2 = 4)
18) 2584 = (2 + 5 + 8 + 4 = 19 = 1 + 9 = 10 = 1 + 0 = 1)
19) 4181 = (4 + 1 + 8 + 1 = 14 + 1 + 4 = 5)
20) 6765 = (6 + 7 + 6 + 5 = 24 = 2 + 4 = 6)
21) 10946 = (1 + 0 + 9 + 4 + 6 = 20 = 2 + 0 = 2)
22) 17711 = (1 + 7 + 7 + 1 + 1 = 17 = 1 + 7 = 8)
23) 28657 = (2 + 8 + 6 + 5 + 7 = 28 = 2 + 8 = 10 = 1 + 0 = 1)
24) 46368 = (4 + 6 + 3 + 6 + 8 = 27 = 2 + 7 = 9)
Thus, the Fibonacci Digital Root cycle yields an infinitely repeating cycle of the following 24 digits:
112358437189
887641562819
Notice that when we divide this eternal Fibonacci set in half (12 + 12), the Digital Root sum always yields the culmination of the single digits (9):
1 - 1 - 2 - 3 - 5 - 8 - 4 - 3 - 7 - 1 - 8 - 9
8 - 8 - 7 - 6 - 4 - 1 - 5 - 6 - 2 - 8 - 1 - 9
(1 + 8 = 9)
(1 + 8 = 9)
(2 + 7 = 9)
(3 + 6 = 9)
(5 + 4 = 9)
(8 + 1 = 9)
(4 + 5 = 9)
(3 + 6 = 9)
(7 + 2 = 9)
(1 + 8 = 9)
(8 + 1 = 9)
(9 + 9 = 18 = 1 + 8 = 9)
When we multiply the number of digits in the Fibonacci Digital Root cycle (24) by the culminating digit of 9, we have the following:
24 × 9 = 216 = 6 × 6 × 6
Observe how the Ascending/Descending digital sum up to the culminating digit of 9 yields the 24th Prime number (89):
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 24th Prime
If we continually expand the digital repetition of the digits in 1 through 9, we find that the 24th term in this logical series = 666:
1) 1
2) 2
3) 3
4) 4
5) 5
6) 6
7) 7
8) 8
9) 9
10) 11
11) 22
12) 33
13) 44
14) 55
15) 66
16) 77
17) 88
18) 99
19) 111
20) 222
21) 333
22) 444
23) 555
24) 666
There are 360 degrees in a perfect CIRCLE, which was universally understood by the ancients. Thus, we have the following gem:
• 3^2 + 6^2 + 0^2 = The sum of the first 9 integers (T9)
• (1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 + 7^2 + 8^2 + 9^2) = The “Pi Position” of 360 in the decimal expansion of Pi (after the decimal point)
The "Pi Position" of 360 can be verified here: Pi Position Calculator
Self-Fibonacci numbers are numbers where n divides the nth Fibonacci number (see here: Self-Fibonacci Numbers). There are 24 Elders and 4 "Living Creatures" around the throne of God in the book of Revelation. The 4th Self-Fibonacci number = 24:
4th SELF-FIBONACCI NUMBER = 24
There are 360 degrees in a perfect CIRCLE and the 24th Self-Fibonacci number = 360:
24th SELF-FIBONACCI NUMBER = 360
The Prime numbers are numbers that are only divisible by themselves and the number 1 (see here: Prime Numbers). They are essentially the “building blocks” of mathematics. Every Composite number can be factorized into Prime numbers in exactly one way. Amazingly, the reciprocal of the 24th Prime number (89) actually yields the Fibonacci number series through the following (see here: The 24th Prime):
24th PRIME = 89
1/89 =
.01 + .001 + .0002 + .00003 + .000005 + .0000008 + .00000013 … to infinity
Notice that the number of decimals in each sum expands by 1 and the numbers to the far right yields the perfect order of the Fibonacci number series (to infinity). Thus, we have the following perfection:
• Fibonacci number series consists of an infinitely repeating Digital Root cycle of 24 digits
• Reciprocal of 24th Prime encodes the Fibonacci number series to infinity
The book of Revelation, which records the 24 Elders seated around the throne of God, was revealed in Greek. The Biblical Greek alphabet consists of 24 letters. It follows that the total Ordinal Greek value of the Biblical Greek alphabet = The sum of the first 24 integers (T24). Notice also that the book of Revelation, which opens as “The Revelation of Jesus Christ”, is the ONLY book in the Bible that openly references the FIRST/LAST letters of the alphabet (where Jesus Christ is called the Alpha and the Omega):
• Biblical Greek = 24 letters
• Jesus Christ = ALPHA and OMEGA
There are 4 “Living Creatures” around the throne (Revelation 4:4-11). Interestingly, Jesus Christ is called the Alpha/Omega 4 times in the book of Revelation:
1) Revelation 1:8
2) Revelation 1:11
3) Revelation 21:6
4) Revelation 22:13
This actually points back to the coded word structure of Genesis 1:1 (the OPENING of the Bible) and its CENTER word value. How? The CENTER word value in Genesis 1:1 (with 3 words to its left/right) = 401 = The only PRIME word value in Standard Genesis 1:1 and is made up of the FIRST/LAST letters of the Hebrew alphabet (note that Hebrew reads from right to left). What's more, the number of words in Genesis 1:1 = The 4th PRIME NUMBER (7):
GENESIS 1:1 WORD VALUES:
913 + 203 + 86 + 401 + 395 + 407 + 296
The 4 Living Creatures are in an eternal state of worship of the one seated at the center of the throne (Revelation 4:6-11) and there are precisely 4 mathematical signatures of "Jesus Christ" that form a canonical set in Biblical Numerics, which I have coined "The Tetra Set Of Jesus Christ" ...
THE TETRA SET OF JESUS CHRIST:
ORDINAL Hebrew value of "Jesus Christ" = 115
ORDINAL Greek value of "Jesus Christ" = 205
STANDARD Hebrew value of "Jesus Christ" = 754
STANDARD Greek value of "Jesus Christ" = 2368
The New Testament opens with 4 biographical accounts on the ministry of Jesus Christ and closes with the book of Revelation (which reveals the 24 and 4 pattern around the throne of God):
1) THE GOSPEL OF MATTHEW
2) THE GOSPEL OF MARK
3) THE GOSPEL OF LUKE
4) THE GOSPEL OF JOHN
According to ancient Christian tradition, the Apostle John is the author of the 4th Gospel (the Gospel of John) and of the book of Revelation (the last book of the Bible). Therefore, it is significant indeed that the FIRST book of John is the 4th book of the traditional New Testament canon and the LAST book of John is the 24th book after the Gospel of John:
GOSPEL OF JOHN = 4th BOOK
BOOK OF REVELATION = 24th BOOK AFTER GOSPEL OF JOHN
The New Testament openly points to certain Old Testament accounts as a “type” (or foreshadowing) that pointed to a fulfillment in the New Testament. King David was a Messianic “type” of Jesus Christ. Remarkably, 1 Chronicles 24:1-19 records that King David appointed 24 Governors over the temple, who were direct descendants of the first High Priest (Aaron):
• King David (who was a Messianic “type” of Jesus Christ) appointed 24 Governors over the temple
• The book of Revelation opens as “The Revelation of Jesus Christ” and records 24 Elders seated around the throne of God
The book of Revelation is the ONLY book of the Bible that specifically identifies Jesus Christ as the “Lion of the tribe of Judah”. The Standard Hebrew numerical value of “Lion of the tribe of Judah” (216 + 54 + 30) = The sum of the first 24 integers = The 24th Triangular number (T24):
“LION OF THE TRIBE OF JUDAH” = T24
There are 24 Elders and 4 Living Creatures around the throne of God. The Standard Greek numerical value of “Jesus Christ” (888 + 1480) = 2368. Thus, we have the following perfection:
• (1 × 2 × 3 × 4) = 24
• (1^1 + 2^2 + 3^3 + 4^4) = 2 × 3 × 6 × 8
The pattern of 24 Elders and 4 Living Creatures is also coded with a symmetric 4 × 4 Matrix that highlights the ancient Christian symbol of the CROSS. I have coined this find "THE 4 × 4 MATRIX OF THE 24 ELDERS" ...
THE 4 × 4 MATRIX:
24 24 24 24
24 24 24 24
24 24 24 24
24 24 24 24
CORNERS = 24 × 4
CROSS = 2 × 3 × 6 × 8
There are 24 Elders and 4 Living Creatures around the throne in the book of Revelation. The unity between these two numbers is deeply rooted in the supreme mathematics of God: The sum of the Digital Squares of ANY number, in the entire infinity of numbers, always ends up in either the number 1 or in the following 4-stage cycle between the 24th Prime (89) and the number 4 …
89 (8^2 + 9^2 = 145)
145 (1^2 + 4^2 + 5^2 = 42)
42 (4^2 + 2^2 = 20)
20 (2^2 + 0^2 = 4)
4 (4^2 = 16)
16 (1^2 + 6^2 = 37)
37 (3^2 + 7^2 = 58)
58 (5^2 + 8^2 = 89)
89 (8^2 + 9^2 = 145)
Notice how this cycle continues forever in a 4-stage cycle between the 24th Prime and the number 4. Again, if we keep adding the Digital Squares of ANY number in this same way, it will always end in either the number 1 or this infinitely repeating cycle (thereby verifying the deep connection between 24 and 4).
The number 4 also sits at the exact midpoint of this eternal cycle. Further, the difference between the sum of the first half of the cycle and the second half of the cycle (before/after the midpoint of 4) = The product of 24 and 4:
(89 + 145 + 42 + 20) - (16 + 37 + 58 + 89) = 24 × 4
The numbers 24 and 4 are eternally linked geometrically as well: The maximum number of spheres that can pack around a “central sphere” in 4 dimensions is 24 (see here: Kissing Numbers). It is also significant that the 4th number that divides the Fibonacci number indexed to n = 24 (see here: OEIS.org) AND the 24th number in this series = 360 (the number of degrees in a perfect CIRCLE).
There are 24 fundamental particles in the universe (12 particles and their 12 corresponding antiparticles), which are known as Fermions (see here: Fermions). Given the deep connection we have seen between 24 and 4, it is a remarkable fact indeed that each of the 24 fundamental particles of the universe have precisely 4 components (see here: Four-spinors):
FERMIONS = 24
FERMION COMPONENTS = 4
We saw how Genesis 1:1, the foundation of Biblical Numerics, is encoded with the mathematical phenomenon of Digital Reflections. The 24th Prime number (89) is the first and only known number (out of the first 10,000 that have been checked) where it takes precisely 24 steps of adding itself to its Digital Reflection until we get a Palindromic number (a number that reads the same from the right or the left):
1) 89 + 98 = 187
2) 187 + 781 = 968
3) 968 + 869 = 1837
4) 1837 + 7381 = 9218
5) 9218 + 8129 = 17347
6) 17347 + 74371 = 91718
7) 91718 + 81719 = 173437
8) 173437 + 734371 = 907808
9) 907808 + 808709 = 1716517
10) 1716517 + 7156171 = 8872688
11) 8872688 + 8862788 = 17735476
12) 17735476 + 67453771 = 85189247
13) 85189247 + 74298158 = 159487405
14) 159487405 + 504784951 = 664272356
15) 664272356 + 653272466 = 1317544822
16) 1317544822 + 2284457131 = 3602001953
17) 3602001953 + 3591002063 = 7193004016
18) 7193004016 + 6104003917 = 13297007933
19) 13297007933 + 33970079231 = 47267087164
20) 47267087164 + 46178076274 = 93445163438
21) 93445163438 + 83436154439 = 176881317877
22) 176881317877 + 778713188671 = 955594506548
23) 955594506548 + 845605495559 = 1801200002107
24) 1801200002107 + 7012000021081 = 8813200023188
DIGITAL ROOT SUM of 24 Pairs = 6 × 6 × 6
Notice that the Fibonacci number series yields an infinitely repeating Digital Root cycle of 24 digits and this pattern derived from the 24th Prime yields a pattern of 24 with a Digital Root sum of 216 (6 × 6 × 6). In fact, the Digital Root sum of these 24 mirrored pairs yields a perfect cycle of 4 (corresponding with the 24 Elders and 4 Living Creatures of the book of Revelation) …
Here are the Digital Roots of the 24 pairs (observe how there are 4 cycles of the same Digital Root pattern):
887755112244
887755112244
887755112244
887755112244
TOTAL SUM = 6 × 6 × 6
The numbers 666 and 216 also yield the Golden Ratio EXACTLY through Trigonometry:
Sin (666) + Cosine (216) = GOLDEN RATIO
In addition to the “Mirror Logic” entailed in the mathematics of Genesis 1:1 and the pattern we saw in the 24th Prime, the Golden Ratio itself entails “Mirror Logic” (Phi = Golden Ratio):
• For any ODD integer n:
Phi^n - 1/Phi^n = A Whole Integer
• For any EVEN integer n:
Phi^n + 1/Phi^n = A Whole Integer