## Prime Numbers and Vibrating Strings

Primes are the atoms and basic building blocks of mathematics. The challenge for hundreds of years

has been to decide whether a given number is a prime or not, and to find a pattern in the distribution

of the primes. Shown below is the perfect pattern in the distribution of the primes and non-primes.

Instead of looking for a pattern in the prime numbers, I began looking for it in the non-prime numbers.

I observed that prime number 3 is followed by repeating segments of 6, consisting entirely of

non-prime numbers. (Non-prime numbers blue and green, and prime numbers colored orange)

The lines between the twin prime sets, such as 11/13 and 17/19, show that all of the sections

consist of multiples of 3. These lines suggest spectral rays and time lines in the EM spectrum.

When lining up the segments of 6 ** horizontally**, I noticed a zigzag pattern like frequency wave,

starting with prime number 3. The rest of this frequency wave consists of non-prime numbers,

with numbers bouncing from prime

**#3**to 9 to 15 etc. at regular intervals of 6.

*(vertical spacing's added for easier viewing)*

The finding of #**3**-frequency, was quickly followed by the #**5**-frequency pattern.

From here I continued with 20 or so additional sequential frequency waves.

(frequencies, vibrating strings, waves, signals, oscillations, etc..?)

Every prime number like a musical note, is followed by a vibrating string. And, like finely

woven threads of fabric, these strings are made up entirely of non-prime numbers.

To know the note, you must first hear the sound!

Imagine for a moment prime numbers as stars, and vibrating strings as space.

*Interestingly, while we in the west generally look for patterns in the stars,*

*Australian* *aboriginals* *look **for patterns in the spaces between the stars**.*

The #**1** frequency wave/string includes __all____ of the numbers__, both prime and non-prime numbers.

Again, strings that begin with a prime number continue with only non-prime numbers!

As will become clear, strings beginning with primes 3, 5, 7 as the first few primes, cover

most of the non-prime numbers on the entire #**1** strip. (grid lines represent even numbers)

__Before continuing I want to introduce an additional idea:__

Assuming that UFO/UAP craft exist, they must have advanced hull material and properties,

to be able to maneuver and do the things that they appear to do.

What if the hull/craft materials consist of special metals and specific amounts, blended together

on an atomic/isotope level in such a way, that their wave arrangements mirror #1 frequency,

and all of its perfectly interwoven (based on prime numbers) frequency wave arrangements.

That craft could do amazing things such as levitation, where an electromagnetic force

can manipulate the gravitational force in all directions.

“The only force you need to counter is the electromagnetic force” Nikola Tesla

Continuing:

The numbers belonging to the #3-string as mentioned earlier, occur at intervals of 6.

The #5-string has intervals of 10, number 7 has 14, number 9 has 18, and so on.

It increases by 4 each time. For example **3**-9-15…, **5**-15-25…, **7**-21-35…, **9**-27-45… etc.

*(when the vertical spacing's for easier viewing are eliminated, the increases are 2)*

As the numbers beginning each new vibrating string 1,3,5,7,9, etc., after the zero-point

as represented by the red pins grow larger, their wave segments as shown stretch accordingly.

These segments match each other in specific ways:

For example, five #7 segments = seven #5 segments. Five #11 segments = eleven #5 segments.

Seven #11 segments = eleven #7 segments. Etc. The strings contain many interesting patterns.

Moreover, imagine for example prime number 3 with its wave sections of 6 as a musical note.

Then the subsequent vibrating strings beginning with 9,15,21, etc. are just stretched out strings

(slowed down notes) of the same musical note, prime #3.

Next, prime number 5 with its wave sections of 10 as a “musical note”. Therefore the subsequent

vibrating strings beginning with 15,25,35, etc. are just stretched out strings (slowed down notes)

of the same musical note, prime #5.

Etc.

*(Again, all string numbers following the prime numbers consist of non-prime numbers.)*

By knowing the shape and arrangements of the frequency waves, one can predict prime numbers a

million miles down the strip. Nevertheless, how to know exactly at which points along the strip new

frequencies are required, is explained with this important discovery, I call it the* "pyramid strip"*.

The *Pyramid strip* overlays the #1 (C) frequency wave. It determines exactly where,

and how far along the strip, the primes and their string insertion points are located,

depending on the need to know the size of the numbers.

Again, the #3-string covers all other related frequencies such as **9**-15-21-27-etc, so that after

the first small pyramid 1-**9**-25 no other pyramid peaks are required, and only the base line numbers

are used from here on. The spacing ratio for the bottom line is 1^{2}-5^{2}-7^{2}-11^{2}-13^{2}-17^{2}-19^{2}-23^{2}- 25^{2} etc.,

(4-2-4-2-4-2-etc). Alternatively as ratios 2-1-2-1-2-1 or **1-0-1-0-1-0** etc.

*However, 25 ^{2} and all*

*numbers that are part of the prime #5 string sitting on these*

*ratio points*

*could also be*

*eliminated, but the consistent 4-2-4-2-4 pattern would be lost.*

*This idea continues with the*

*next string #7 and 49*

^{2}for example.

The pyramids stretch with predictable increases, while their heights within the #1 (C) wave

remains unchanged, 3 squares up and 4 down. This continues **∞** and indicates an arc/circle.

This circle would have an opposite circle, as in **∞** (a cubical universe).

Assuming the #1 wave/string circles from its source (origin or zero point), and the speed of light is

constant, what happens if one cuts across to any point within this circle to shorten the distance?

Perhaps the speed of light is constant but time is adjustable this way, and may show that time

travel as well as instantaneous communication over vast distances is possible.

To demonstrate how perfect and orderly the prime numbers (colored orange), are encapsulated,

carried and fit *untouched* between all of the frequency waves, I made a #1-frequency board

with only the prime numbers marked on it in their proper place. And I made several transparent

strips, marked with the correct numbers for each of the following strings that will overlay it.

Begin by placing the #**3** string on the #1 board,

which fills in all of the __non-prime__ numbers to 25 (5^{2}).

The #**5** string fills in the non-prime numbers to number 49 (7^{2}),

leaving only prime numbers marked as orange.

String #**7** to 121 (11^{2})

String #**11** to 169 (13^{2})

String #**13** to 289 (17^{2})

Place string #**17** and continue like this.

It effectively separates and sifts out the prime numbers from the non-prime numbers.

Example: At number 25 (5^{2}) enter string #5, at number 49 (7^{2}) enter string #7, and so on.

Imagine a train moving along a train track and passing known and predetermined stops along

the way. At each stop a new string is engaged to cover all non-prime numbers on the strip

up to the next stop and ahead of the train. As the distances between stops increase continually

the train can speed up since there are fewer stops and strings required. Again, distance and

speed increases but the string numbers decrease. In other words, placing progressively longer

sections of track ahead of a faster and faster moving train.

Compare to the infinity π line and a thought-provoking postulation by David.

The measurements for the stops along the primes-board increase at predictable intervals:

Red = 1”-3”-5”-7”-9”-etc, and green sections 1”-2”-3”-4”-5”-etc. (The strip has 4 squares per inch)

Imagine this primes-board represents a line of sight looking out into the universe from 0 (the peg).

Meaning from __any__ position in space, and where from that position it appears to be expanding same

as the prime numbers, at an increasing but predictable rate. So, logically, an "expanding" universe

already consists of pre-existing ever-growing numbers, vibrating strings, patterns, and primes.

What Riemann observed in his mathematics were the peaks and valleys of waves/strings with

a common line running through them, the *zero line*. (Image from the *The story of Math* DVD)

The strings are separated for display purposes, and the zeros lie in a straight line.

Compare the vertical sections such as section 7 to 17 on the strip below, with the separated

string layouts on the board. Observe how the waves are shaped, and how the 6 string sections

merge to points on the left side of the so-called zero line.

Those points west of the zero line show-increasing intervals of 3”. E.g., strings 11 and 13 merge at 3”

west of the zero line and strings 23 and 25 merge 6” west of the zero line. Connecting those points

on the left side of the zero line will produce a line intersecting with the zero line at **-6**, and

tapering away from the zero line at 18.4**°**. The triangle consists of angles 90**°**, 71.6**°**, and 18.4**°.**

*Again, to this point the vertical spacing's were added for easier viewing!*

The #1-Frequency __correctly__ displayed without vertical spacing's. (triangle = 90**°**, 80.5**°**, **9.5°**)

From the strip board peg *(zero point, infinity, big bang singularity?, etc.)*, and this example of

six strings (section 7 to 17), show that all of them emanate from a __single source__ reversal point!

Therefore, section 7 to 17 as the start of those 6 strings, and section -17 to -7 mirroring those

vibrating strings, occur simultaneously.

*Simultaneous opposing positions between entangled quantum particles, i.e. particles of light?*

In flat 2-d form all frequencies emanate from a single source zero point. However, due to twisting

the flat 2-d into the 3-d form, it shows that in tubular 3-d form there appear to be two zero points.

However, the real point of origin is the center of the tube. The point of Origin or infinity point is

the source of all spiraling frequencies, like the center of a pie cut in 6 even slices!

It is the midpoint between positive and negative numbers, the midpoint of image reversal in a lens,

or the point between two realities.

The distance the six string/waves (7 to 17) are from the **O**rigin before they line up vertically

like they did at the start even though they are now inverted, is 382882.5 mm x 2= 765765 mm.

(Squares are 1 mm)

(The LCM is 7 x 9 x 11 x 13 x 15 x 17= 2297295 / 6= 382882.5)

1 section - 11 x 13= 143 mm-----------x 53550 = 765765 (143 mm from point of Origin)

9 sections - 9 x 15= 135 mm-- 15 mm x 51051 = 765765 (15 mm from point of Origin)

1 section - 7 x 17= 119 mm------------x 64350 =
765765
(119 mm from point of Origin)

Like increasing ripples in a circular pond for the subsequent wave sections such as 19-29, 31-41 etc.

Frequencies accurately shown as tubular, circular and spiralling, instead of flat and straight.

And as conjectured earlier, the #1 ultra high frequency wave as represented by the tube

contains the entire EMF spectrum.

In the Netherlands when someone dies, they have an interesting saying, "de pijp uit gaan".

Translated it says, "exiting the tube". Traveling from entry point to exit point and over again?

It seems so according to the mathematical model described here, because the perfect

arrangement of primes, non-primes and frequencies exist in this tubular model as shown.

Frequency #3 appears to have stronger bonds than the others.

A connection to this verse perhaps: "*Or ever the silver cord be loosed,*" Ecclesiastes 12:6 KJV

Prime numbers, orange (3-d) and black (2-d), may represent a melodic language.

Perhaps one day prime numbers will be used in cutting-edge communication methods.

With this discovery and by knowing the string/wave patterns, it is possible to decode encrypted

numbers by finding the primes that created this number. Because without knowing the original

primes it is almost impossible to decode that number. Simply locate the encoded number on the

#**1**-frequency strip, and observe the prime frequencies attached to it. For example, the following

numbers are the product of two prime numbers:

Product Primes (frequency numbers)

15 = 3 x 5

77 = 7 x 11

221 = 13 x 17

To sum up, the first nine squares represent **all** of the prime and non-prime numbers.

The diagonal lines represent the frequencies as they cancel out all of the yellow non-prime

numbers, leaving only the red prime numbers.

Therefore, by knowing exact and predictable frequency patterns, mathematicians should

be able to find a formula to see whether a given number is a prime or not.

Non-prime number frequencies have patterns, therefore prime numbers have inverse patterns.

A shape cut out of a piece of paper always leaves an inverse cut-out pattern.

__This next section contains additional ideas:__

__Prime numbers, the Golden spiral in 3-d, and where the 0 point represents the start and finish:
__Looking into the

*tube*or frequencies toward the zero point, is like looking into the

**Golden ratio spiral**with its excentric or concentric spiral motion.

The #1-frequency represents the entire golden ratio spiral, 1-3-5-7 etc., with each added frequency

forming increasingly complex geometric and fractal like repeating patterns.

The 3-frequency makes ¾ turns 3-9-15 etc.

*(Example section 9 to 15 in blue.)*

The 5-frequency makes 1-1/4 turns, 5-15-25 etc. The 7-frequency makes 1-3/4 turns, 7-21-35 etc.

__This next sieve method for finding prime numbers begins with several observations: __

The top row of numbers spaced at regular intervals of 6 (3 - 9 - 15 - etc.) represents the

#3-frequency wave's non-prime numbers as identified in my first sieve find.

Imagine the **O** in the top left corner as the point of Origin or infinity, and the source of light.

The top 1 small square represents the main square (grid paper, universe?) however large it may be.

So when looking towards the point of Origin, or the top left corner of the small square,

it appears that this idea repeats itself going in both directions (multi-verses, extra-dimensional?).

Imagine that the blue lines are light rays passing through the grid paper, which has pinholes

at the center of certain squares for the light to pass through. Again, the horizontal top row of

numbers 3-9-15-21-etc. through which the blue lines pass through first, are numbers belonging to

the #3-frequency wave.

None of the squares representing the orange prime numbers, is ever intersected dead center

by any blue frequency waves, only the non-prime number squares are, and so the prime numbers

(free-spaces) are free to drop out as in a Tetris game, down to the 45°- #3 diagonal line.

The angle between #3 and #9 lines is 26.565°. It is also the passageway angle within the Great Pyramid.

The top corners for each square, representing frequency numbers 9, 15, 21, 27, etc. are evenly spaced

as indicated by the black dots, and as in the diagram all the other squares have similar arrangements.

All expanding right-angled triangles originate from the *zero point* in the upper left corner.

Shown here are the first few right-angled triangles beginning the primes sieve.

__All__ triangles consist of non-prime numbers.

The first red right triangle 3² + 1.5²= 11.25 (A² + B²= C²), and so on.

The small orange triangle 1² + .5² = 1.25 is distinct from the others, because it resides **above**

all of the numbers! The 1 small square in the upper left corner is a copy of the entire main square

(grid paper) and so on.

With this basic information showing an indefinite and regular progression of eight, the successive

hypotenuses can be determined without much effort.

The material in this web-page may help to clarify other outstanding areas concerning prime

numbers such as the “*Twin prime problem*” and the “*Goldbach conjecture*”.