According to hebrew gematry each letter of the Hebrew alphabet has a numerical value and the name of god יהוה
has the corresponding values 5 6 5 10.
| ה | ו | ה | י |
|---|---|---|---|
| 5 | 6 | 5 | 10 |
Using modular arithmetic with modulo 10 the fibonacci sequence has a 60 repeating pattern.
| 0 | 1 | 1 | 2 | 3 | 5 | 8 | 3 | 1 | 4 | 5 | 9 | 4 | 3 | 7 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 7 | 7 | 4 | 1 | 5 | 6 | 1 | 7 | 8 | 5 | 3 | 8 | 1 | 9 |
| 0 | 9 | 9 | 8 | 7 | 5 | 2 | 7 | 9 | 6 | 5 | 1 | 6 | 7 | 3 |
| 0 | 3 | 3 | 6 | 9 | 5 | 4 | 9 | 3 | 2 | 5 | 7 | 2 | 9 | 1 |
If you take off the numbers 0 and 5 from the sequence you got 12 groups of 4 numbers each.
| - | 1 | 1 | 2 | 3 | - | 8 | 3 | 1 | 4 | - | 9 | 4 | 3 | 7 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| - | 7 | 7 | 4 | 1 | - | 6 | 1 | 7 | 8 | - | 3 | 8 | 1 | 9 |
| - | 9 | 9 | 8 | 7 | - | 2 | 7 | 9 | 6 | - | 1 | 6 | 7 | 3 |
| - | 3 | 3 | 6 | 9 | - | 4 | 9 | 3 | 2 | - | 7 | 2 | 9 | 1 |
If you sum the 4 digits of each group and then apply modulo 9 you got 12 numbers.
Exception: The number 9 in mod 9 is 0
but in this case we're going to use 9 instead.
| - | (1 + 1 + 2 + 3) = 7 | - | (8 + 3 + 1 + 4) = 16 = 1 + 6 = 7 | - | (9 + 4 + 3 + 7) = 23 = 2 + 3 = 5 |
|---|---|---|---|---|---|
| - | (7 + 7 + 4 + 1) = 19 = 1 + 9 = 10 = 1 + 0 = 1 | - | (6 + 1 + 7 + 8) = 22 = 2 + 2 = 4 | - | (3 + 8 + 1 + 9) = 21 = 2 + 1 = 3 |
| - | (9 + 9 + 8 + 7) = 33 = 3 + 3 = 6 | - | (2 + 7 + 9 + 6) = 24 = 2 + 4 = 6 | - | (1 + 6 + 7 + 3) = 17 = 1 + 7 = 8 |
| - | (3 + 3 + 6 + 9) = 21 = 2 + 1 = 3 | - | (4 + 9 + 3 + 2) = 18 = 1 + 8 = 9 | - | (7 + 2 + 9 + 1) = 19 = 1 + 9 = 10 = 1 + 0 = 1 |
Divide the 12 numbers in groups of 3.
| 7 | 7 | 5 |
|---|---|---|
| 1 | 4 | 3 |
| 6 | 6 | 8 |
| 3 | 9 | 1 |
and then sum them. You got 4 numbers: 1 8 2 4.
| (7 + 7 + 5) = 19 = 1 + 9 = 10 = 1 + 0 = 1 |
|---|
| (1 + 4 + 3) = 8 |
| (6 + 6 + 8) = 20 = 2 + 0 = 2 |
| (3 + 9 + 1) = 13 = 1 + 3 = 4 |
Result:
| (1) |
|---|
| (8) |
| (2) |
| (4) |
Now you start summing starting from number 8, and then apply modulo 9 except for the number 10:
(8) + (2) = [10] י
[10] + (4) = [14] = 1 + 4 = 5 ה
[14] + (1) = [15] = 1 + 5 = 6 ו
[15] + (8) = [23] = 2 + 3 = 5 ה
There you go, the tetragrammaton inside the fibonacci sequence.
I made this discovery during the 2020 quarantine.
I've discovered more properties in this fibonacci sequence using modular arithmetics and even found a curious relation with the prime numbers. But I'm still working on a mathematical proof. Thanks for reading.
Copyright Kevin López | 2023