Communicating with non-terminating, alternating value patterns

[8LPF16]

In researching the patterns in numbers that develop from expressing the relationship a number has with itself (1/n=N, NX2,3,4...n),in decimal form, I found a very interesting one.

If you have read my threads on resonance in vibration, and the values of prismatic color, it will help with deeper understanding of this thread.

I'll start with the first occurence, and simple version of this pattern - the number 7.


relation____value___________code______code sum___end sum

)1/7____0.142857142857...___(142)(857)_____27__________9
)x 2____0.285714285714...___(285)(714)_____27__________9
)x 3____0.428571428571...___(428)(571)_____27__________9
)x 4____0.571428571428...___(571)(428)_____27__________9
)x 5____0.714285714285...___(714)(285)_____27__________9
)x 6____0.857142857142...___(857)(142)_____27__________9
)x 7____0.999999999999...___(999)(999)_____54__________9

)x 8____1.142857142857...___(142)(857)_____27__________9

The 8th value (octave) in this pattern is the same code as the first value, but at a higher level (frequency). The code is a simple exchange of 3 digit values (Triad). All codes have two mirror parts, or polar values. Except relationship(R)7, which has internal mirror <999-999> (neutral). So: R1><R6, R2><R5, R3><R4, and R1=R8+1.
Code sum, and end sum can provide both a "short cut" (simultaneous solve), and or a built in value verification, or limit. You will find other codes sums, say 36, 81, 333, and others, but 90% of non-terminating patterns like this result in end sum of 9. Seven is the number of music notes, and spectral colors.

R7 may be of particular use in searching for patterns in hard to define/measure systems. Mass, for instance, would never satisfy a command of >=1. However, if this open loop was closed,(by fixing end point to linear time)then value becomes 1. (7/7 vs. Nx7) This pattern is not "infinite", and will eventually will settle down to a pattern known to us as mathematical. Addition and division will not work on this pattern all the way through.


continued...

LPF

 

[Hurkyl]

Arithmetically, I don't think 7 is so special... what do you think about the "patterns" for 13 and 17?

 

[8LPF16]

continued

Communicating with non-terminating, alternating value patterns could certainly be called "resonating numbers". Any better suited names would gladly be considered.

The next number that produces this pattern is 13.

relation____value___________code-a/b____code sum___end sum

)1/13____0.076923076923...__(076)(923)a_____27________9
)x 2_____0.153846153846...__(153)(846)b_____27________9
)x 3_____0.230769230769...__(230)(769)a_____27________9
)x 4_____0.307692307692...__(307)(692)a_____27________9
)x 5_____0.384615384615...__(384)(615)b_____27________9
)x 6_____0.461538461538...__(461)(538)b_____27________9
)x 7_____0.538461538461...__(538)(461)b_____27________9
)x 8_____0.615384615384...__(615)(384)b_____27________9
)x 9_____0.692307692307...__(692)(307)a_____27________9
)x10_____0.769230769230...__(769)(230)a_____27________9
)x11_____0.846153846153...__(846)(153)b_____27________9
)x12_____0.923076923076...__(923)(076)a_____27________9
)x13_____0.999999999999...__(999)(999)n_____54________9

)x14_____1.076923076923...__(076)(923)a_____27________9

Now we have a system with two separate polarities - code a mirrors = R1><R12, R3><R10, R4><R9. Code b mirrors = R2><R11, R5><R8, R6><R7.
Also, R1=R14+1, and R13 is neutral.

With no stretch of imagination, I see code a and b representing the electric and magnetic alternating fields, while moving forward (+1) in time, while maintaining balance of potential to kinetic ratios of mass and energy.

Armed with the above info, and from vibrational resonance, and backed up by prismatic experiments, I am ready to submit the Form of the Photon Theory.

I predict that the "photon" as we know it(white light), is 13 potential harmonic particles I call "photinos" traveling in a spiral. The red photino is at the rear, top-center (largest radius, or wavelength), and at the top-center front is the first UV photino, in +1 vector (time), and with radius 1/2 that of red photino (1 octave up). This photino would be next to lavender (violet+white) @386nm in the spiral path, and in the vector forward path of red (730nm). This most energetic, but not always seen photino is magenta. This color is no more peceptively imaginative than Newton's rainbow on the wall, just faster.

This form is the most efficient way a dual polarity generating wave can move forward at natures maximum speed limit. Its' lateral movement through the spiral would be equal to its' movement forward in time vector (simultaneous). This form produces "spin" characteristics - ie. the 1/3, 2/3, and 3/3 spin values = the position of the cyan, yellow, and magenta photinos. The code a and b interactions uphold all color producing laws - ie. white light from 3 values, or 2 (1 being two negative values), and perhaps most importantly, casts green and magenta photinos as neutral opposites (Slow and Fast family). Each photino would an opposite real photino, and an opposite in potential of itself.

In linear time, there are 3 ways (relativistic position) at looking at everything. From the past, present, and future. Without a Form, we have no way of understanding the photon in the present tense. We have bent light to see the Slow end (past) of the photon, Now we also have seen the Fast end (future, or forward vector) from modified prismatic experiments.

For reference sake, I call the number that represents this set of non-terminating numbers (.0769230...) Pho. It belongs with Pi and Phi, because of the circle, spiral, interval relationship. Further patterns involving these are those of orbiting bodies. Dividing 360 by 13 = 27.69230769230... which gives you both the code and the code sum, as does dividing 365 by 13 (28.0769230769230...) This is why our clocks and calenders have 12 neat divisions, with the 13th one equal to the 1st value in the next set. (octave or point in time)
Excluding "whole number math" (covenience), this is the most harmonic way to divide a circular system.



LPF

 

[8LPF16]

Hurkyl,

I was saving the best for last.(13)

17 produces similar pattern , but at values so large, I doubt the economy necessary to make Mother Nature happy. Especially at the speed of light.


LPF

 

[8LPF16]

Hurkyl,

What are your thoughts on the pattern for 13? Any others?...


LPF