Energy Research

I wanted to take a moment to thank everyone for the steady stream of kind and gracious feedback and the general show of support for my work. Please know how very thankful I am for that.

I’ve been away from the blog in recent months quite busily working on advancing my energy research and the physical implications of Foundational Mathematics. I am pleased to report that I am making steady and surprising progress in developing this area and can report to have accomplished some very exciting results, yet, much work remains. New discoveries beg many questions!

My writing efforts in the last few months have been mostly directed into the completion of my first book, “The Nature of Numbers –Mapping the Terrains of the Conscious Field”. The book is almost completed now and I am very pleased with how it has unfolded both as a process and as a work.

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Today I’d like to give you a taste of the main subject matter covered in my upcoming book which is at its heart an exploration of the archetypal terrains of the conscious field.   I believe the method I have developed amounts to an important new way to visualize the underpinnings of consciousness. It is a potentially revolutionary channel for enabling an intuitive working understanding of how subject and object (particles) relate to one another on the illusory stage of light (or state of mind) into which humanity is born.

In the fractal glyph plates I have drawn below,  I have used red lines to denote a positive or clockwise path and gray lines to denote a negative or counterclockwise path. Where positive and negative flows overlap, a color mixture of red and gray (a sort of light peach-brown) results. Darker brown colors correspond to a greater number of overlapping fractal paths. For prime sequences I have used yellow for positive and green for negative. In the same way, overlapping of prime fractal paths results in a kind of olive color. A darker olive color correspond to a greater number of overlapping prime fractal paths.

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The Nature of Numbers

In my theory of Foundational Mathematics, numbers can be sorted into 3 classifications:

Structural Numbers (Primordial Numbers)

Structural numbers are few. These fields are the basic building blocks used to create the universe within the conscious field.

Polar Numbers (Closed Cycle Numbers)

Polar Numbers shepherd the world of form by imparting force. These include negative, positive and neutral polar number fields. These fields are in the world but not of it.

Form Numbers (Open Cycle Numbers)

Form Numbers obey the effects of polar forces and comprise the visible elements of the Creation.

I will explain these classes of numbers more in depth in what follows.

Structural Number Fields

1, 2 and 5 are archetypal. They are fully Foundational to consciousnesses in its plural aspect. When Unity, through an act of Mind falls into a plural state, the fields of 1, 2 and 5 appear automatically. Note that Unity and 1 are not the same. Unity is an expression of the absolute oneness of the universal whole, while 1 is an expression of “subject” in a “subject and object” world.

Zero

The zero field has no physical component. It represents the unmanifested Mind. It represents infinite potential existing apart from the physical Creation.  The singularity is where the physical world and the zero field “touch”.

Unity

The field of one or the unity field represents the Universe in stillness. It is all that is without any distinction imposed upon it by the activity of Mind. Within the unified field there are no vibratory perturbations. Here, no effects have been caused.

Plurality

The field of 2 is Structural. This field is the archetypal expression of plurality.

The elective action of Mind to fall from unity into plurality spawns the basis of dualistic human experience. In this act, subject and object, the space between, the time to traverse and the power of force is born. The image below shows how the vector fields from two point particles form interference patterns on the stage of consciousness that is the magnetic dipole form itself. It is in this very manner that magnetic fields are born. It is when the mind elects to produces plurality that the stage of consciousness gives rise to the self evident experience of distance and force.

See my earlier writing:   http://www.alexpetty.com/2009/10/04/relative-motion-of-vectors-produces-fields/

When duality arises, consciousness sets up some basic “plumbing” to facilitate this state:  1, 2 and 5.

Whenever the field perturbation represented by 2 appears in the conscious field, the field perturbations represented by 5 automatically also appear. You must understand that numbers represent very specific energetic perturbations signatures and are not merely abstractions as is commonly supposed.

It should also be noted that in my theory of Foundational Mathematics, further vocabulary is needed to distinguish separate concepts of one. The “high concept” of Unity and the “lower concept” of a one as apart from two, ie. the first element of Unity divided.

So then, 2 gives rise to 1 and 5 and then spontaneously sets up the following ratios.

In the case of expansion into a higher enumeration, this relationship is constructed:

In the case of contraction to a lower enumeration, this relationship is constructed:

This expression provides the underpinnings for how the conscious field will use 1, 2 and 5 to enable any level of enumeration.  The resulting magnetic interactions produce force and form which gives rise to the the universe we experience as human beings.

The conscious field possesses a kind of elasticity. Phi is the mechanism that consciousness uses to control the expansion and contraction of the conscious field into myriad parts. It allows the conscious field to experience itself in any number of divisions the Mind can conceive of. In this way, numbers themselves represent the elastic nature of the conscious field, that aspect which responds automatically to the constructive or destructive will of Mind.

The field of 5 is structural as it is an essential element for allowing the conscious field to experience itself dualisitically. Perhaps counter-intuitively, 5 appears in the field before 4 since it is a field perturbation that arises automatically whenever the primordial instance 2 occurs.

Polar Number Fields

Polarity is established automatically the moment that Unity falls into Plurality. There are three classes of Numeric Polarity:  Positive, Negative and Neutral.

The chart below shows how polarity cycles around the circle of nine.  Note that as the very first iteration of nine is cycled through (the Primordial Cycle), consciousness is bootstrapping the building blocks it uses to manifest The Physical Creation.

For more on numeric polarity see my earlier entry:  http://www.alexpetty.com/2009/11/15/on-numeric-magnetism-and-the-fundamentals-of-primality/

Postive Polarity

The field of three is the first example of what I have called “closed cycle fields”. Any field which is closed cycle is an element of polarity. This is as opposed to elements of physical expansion and contraction (ie. elements of form) which are all “open cycle fields”.

Polarity guides the direction and magnitude of the expansion and contraction of the world of form and it does so in accordance with the elective will mind, communicated by the field perturbations which the mind produces as a feature of its natural function. Consciousness itself is the long elusive underlying basis of electricity and magnetism.

The closed cycle field of 3 produce two circular paths |3| and |6| yielding clockwise flow 3-6-9  (or 3-6-0) and a counter-clockwise field 6-3-9 (or 6-3-0). The deflections of these flows form two overlapping, offset and opposed equilateral triangles. Much ancient symbology comes from this archetype including the Star of David.

Three is the positive pole and related directly to the concept of the proton.

The field of 12 is the second occurrence of a “layered cycle field” which means it simultaneously contains both closed and open cycles field elements (6 is the first such occurrence).

12 is the positive pole on the second iteration of the circle of 9. Twelve is also the field which marks the half way point for the the magnetic sequencing of the Fibonacci series.  To see this sequencing refer to plates from my earlier writings:

http://www.alexpetty.com/wp-content/uploads/2009/11/fibonacci-in-mod9-with-polarity-mapping.png

http://www.alexpetty.com/wp-content/uploads/2009/12/fibonacci-converging-on-phi5.png

This topic is explored in depth in my coming book.

The field of 21 is a closed cycle field. The 21 field is the positive pole on the third iteration of the circle of 9.

Negative Polarity

The field of six is another very important “closed cycle field”, but it is also the first occurrence of a “layered cycle field” as it simultaneously contains both closed and open cycles. This means that within the field of six is both polarity and form all at once. Thus we see that it is the negative pole around which physical form arises. This is consistent with our experience. The electron is understood to be the carrier of negative charge flow. Since almost the whole of physical human experience is tared around net flows of negative charge, it is for this reason that physical interactions in our world are observed to center around electrons seeking equilibrium states.  (In normal experience, we rarely observe positronic charge – so called cold current – except through exotic circuits which manifest non-linear effects.)

The closed cycle portion of the field of 6 produces two circular paths of |6| and |3|  yielding counter clockwise flow 6-3-9  (or 6-3-0) and clockwise field of 3-6-9 (or 3-6-0). Just as with the field of 3, the deflections of these flows form two overlapping, offset and opposed equilateral triangles however the circular flows in 6  are opposite of 3.

Six is the negative pole and its nature gives rise to the concept of the electron. Human experience is very much about the perception of net flows of charge and the electron is understood to be the carrier of charge. It is for this reason that we interact with negative charge flows in the course of normal experience and rarely with positronic charge or cold current (which is related to 3).

It is also worth noting that within the field of 6, we see first hints at an entirely new method of computation. My book spends a lot of time on this topic.

The field of 15 is a mixed cycle field. The 15 field is the negative pole on the second iteration of the circle of 9.

The field of 24 is a mixed cycle field. The 24 field is the negative pole on the third iteration of the circle of 9.

24 is also the field which completes the magnetic sequencing for the Fibonacci series.

Again, you can review this sequencing in the plates included in my earlier writings:

http://www.alexpetty.com/wp-content/uploads/2009/11/fibonacci-in-mod9-with-polarity-mapping.png

http://www.alexpetty.com/wp-content/uploads/2009/12/fibonacci-converging-on-phi5.png

Neutral Polarity (The Number 9)

The field of 9 is the third polarity, it is the neutral pole which has no physical aspect in creation – and yet it gives rise to the elements which make up nature. Nine is both 0 and 9. It is the Alpha and the Omega. It is the beginning and end of the circle whose 9 divisions resonant with Nature.

The field of nine is composed of eight closed cycle fields.

Interestingly, the harmonic overtone series for sound (an expression of energy traversing the medium of air as a compression wave) is definitely connected to this.

See:  http://www.alexpetty.com/wp-content/uploads/2009/11/harmonics-of-each-harmonic-in-mod9.png

Take a moment to review the beautiful degree of balance and symmetry which is contained by the field of nine, the neutral pole.

The field of 18 is a mixed cycle field. It is the neutral pole on the second iteration of the circle of nine.

Operators of Neutral Polarity (Primes)

The field of 7 indicates magnetic neutrality, 7 is therefore by the definition I have set forth in Foundational Mathematics,  the first true prime field.

I here offer The Foundational Definition of Prime Numbers as follows:

A number is prime only when all elements of the number’s field possess a closed cycle internal structure and when each of closed cycles sum to zero (modulus nine)

All primes exhibit neutral numeric polarity!

I have discovered that primality is the result of magnetic neutrality in fields of numeric polarity.

The observation that primes are divisible only by themselves and one is purely an effect of their numeric polarity, since primes are internally balanced, they are magnetically inert and therefore unable to combine geometrically with other numeric fields. This is the actual basis for the “atomic” nature of primes.

Primes fields possess an incredible and very beautiful degree of palindromic symmetry and cyclic resonances. It is my view and the view of Foundational Mathematics that all primes are made up of fractal series which possess the characteristic of closed cycle rotation, palindromic symmetry and net numeric neutrality.

It is my further view that the fields of 2 and 5 can not truly be considered prime as they are neither magnetically neutral nor do they possess a closed cycle nature. Instead I regard 2 and 5 as Structural numbers. I also do not regard 3 as prime since its closed cycle has a net positive polarity rather then a net neutral polarity.

All primes are closed cycle which means that despite their magnetic neutrality, they are indeed instruments of polarity, a kind of neutral “Divine” Polarity. The chart below shows the manner in which this neutral polarity is distributed and how the conscious field extends its tendrils of neutral polarity throughout the channels of expansion and contraction.

The field of 11 is the second magnetically neutral field and therefore it is considered in Foundational Mathematics as the second prime number. Again, in Foundational Mathematics, we consider that 2 and 5 are not Prime but Structural and that 3 is also not Primes but a Structural Archetype of Polarity.

Observe that the field of 11 it is composed of five separate sequences, each which sum to nine (again, a quality of the primes alone).

The first 5 sequences flow in a positive direction while the other 5 flow in a negative direction.

09, 18, 27, 36 and 45 are palindromic with the latter 54, 63, 72, 81 and 90.

These sequences are perfectly opposite flows. In my energy physics experiments, I have observed that numeric flow reversal relates directly to charge spin reversal in capacitors.

The field of 13 is the third magnetically neutral integer and therefore it is the third prime number.

Observe that it is composed of two separate sequences, again, each sum to nine (a quality of the primes alone).

The first rotating closed sequence is 076923.

The second rotating closed sequence is 153846.

The field of 17 is the fourth magnetically neutral integer and therefore it is the fourth prime number.

This prime contains one rotating closed sequence of 0588235294117647 which again, sums to magnetic neutrality.

The field of 19 is the fifth magnetically neutral integer and therefore it is the fifth prime number.

The field of 23 is the sixth magnetically neutral integer and therefore it is the sixth prime number.

I have studied thousands of prime fields and without exception, they all possess neutral pole closed cycle rotation, (ie. all fractal elements of primes sum to nine.)

In this, I have arrived at a deeper, more causal definition for primes and the precise reason *why* these numbers, in a diamagnetic sense, can not be geometrically reduced by other numbers.

In my book, I have rigorously addressed the topic of primes as understood from the truer perspective of Foundational Mathematics.

Here are a few more Foundational Prime Tables for good measure. Watch in particular how the magnetic orientation in the fields become ever more elaborate and beautiful.

The perfect balance is always struck in the following manner:

0 (Neutral) pairs with 9 (Neutral)

1 (Neutral -) pairs with 8 (Neutral +) creating Form Neutrality around the neutral pole at 9

3 (Pole +) pairs with the 6 (Pole -)

7 (-) with 2 (+)

5 (-) with 4 (+)

Form Positivity is the result of 2 and 4 proximity to 3.

Form Negativity is the result of 5 and 7 proximity to 6.

As you consider this, you may find it helpful to study this plate:

http://www.alexpetty.com/wp-content/uploads/2010/04/numeric-polarity.png

The World of Form

The field of 4 is an open cycle field. Open cycle fields always represent the world of form in growth or contraction shepherded by the closed cycle forces of polarity.

Form always progresses in a doubling or halving pattern. Consider an embryo developing in the womb (the initiation of a consciousness being) follows this pattern during mitotic division:

1 cell doubles to 2

2 cells doubles to 4

4 cells doubles to 8

8 cells doubles to 16 (which compresses to 7 in mod9)

16 cells doubles to 32 (which compresses to 5 in mod9)

32 cells doubles to 64 (which compresses to 1 in mod9, completing the cycle around the circle of 9)

Within every process, from embryonic cellular division to complex fluid dynamics, the progression of all manifestations of form always obey this archetypal pattern.

In the second iteration of 9, one observes that:

64 double to 128  (mod9: 1 doubles to 2)

128 doubles to 256 ( mod9: 2 doubles to 4 )

256 doubles to 512 ( mod9: 4 doubles to 8 )

and so on.

The doubling and halving is governed by the closed cycle forces of positive, negative and neutral polarity ever guiding form in accordance with the will of conciousness which govern the shape and form of the Physical Creation.

The field of 8 is an open cycle field.

The field of 10 is an open cycle field.

The field of 14 is mixed cycle field:

The field of 16 is an open cycle field:

The field of 20 is an open cycle field:

The field of 22 is a mixed cycle field:

If you find that you are interested in my work, please keep an eye out for the release of my book this summer.

“The Nature of Numbers, Mapping the Terrains of the Conscious Field”  in which I explore this subject in its depths.

The Golden Ratio, also known as Phi.

What is Phi?

Phi is a ratio of lengths which possesses many remarkable characteristics.

To me, perhaps the most telling unique feature of Phi is that if you add 1 to its value the result is Phi squared. Equally strange, if you subtract one from Phi the result is 1/Phi (ie. the reciprocal value of Phi).

Said another way, add 1 to this value and you produce an additional dimension. Subtract one from this value and you arrive at something very transcendental indeed which I will discuss later on. I do believe that this number, Phi, is a structural essential within the “operation” of the conscious field.

Want to see Phi? How can one construct it? It’s easy!

1)  Draw a pentagon

2) Connect two of its corners as shown below

Phi is the ratio of lengths AB:BC

The diagram below shows some other key geometric constructs based upon the “Golden Ratio”.

Some points of note:

1) The angles a, b and c all reduce to 9 on the circle of 9.

2) All three sides of the triangle formed by points A, B and C are divided by the various intersections of the circle and pentagon into the Phi ratio and other directly related lengths.

Below is another diagram showing some interesting Phi based geometric relationships.

So, how may one compute the value of Phi with arbitrary precision?

This is also fairly easy to do provided you remember your basic Algebra. Start by taking the ratio of lengths given by AB and AC as shown below.

My own theory of mathematics (The Foundational Mathematics) is that the conscious field, of which all realms of existence are an inseparable part, in reality only makes provision for values between 0 and 1.

The distance between 0 and 1 may be divided and made vastly manifold to any arbitrary extent that the consciousness field of mind can conceive of. What we perceive as integers  are just a play of the 5 human senses.

Think of it this way.

You look at your hand and you see 5 fingers. From the quantum mechanical perspective however, there is no differentiation between your body and the surrounding space. There are not five fingers there at all, only an undifferentiated field of energetic vibration. From this level one can see that the idea of fingers is a construct of the mind only – as is the business of counting them. The senses of our body provide a sort of lens through which we experience the conscious field. It is the case that the conscious field connects everything that is together. This is because everything in existence emanates as a manifestation of the One Conscious field. The lens of the physical body creates an apparently solid physical experience from this field but the dualistic reality of subject and object, however convincing it may be, is merely illusion.

Here is another way to see what I am trying to express. The integer 5 is really a universe of 1 being considered in 5 parts.

So then for counting integers one through five:

0 , 1 , 2 , 3 , 4 , 5

In reality we are counting fractional areas of one:

0.0

0.2

0.4

0.6

0.8

1.0

As another example let look at counting  integers one through seven:

0, 1, 2, 3, 4, 5, 6, 7

again, here we are counting fractional areas of one:

0.000000

0.142857

0.285714

0.428571

0.571428

0.714285

0.857142

1.000000

When one develops an understanding and working knowledge of this basis, then suddenly mysteries such as the nature of primes become much easier to comprehend and work with. This discovery enables for the first time in more then two millennium ground for traction in significant forward progress within the field of number theory. It will of course be no small challenge to convince the majority of scientists in the world of the unreality of integers and the illusory nature of sensual experience. Still, this important paradigm shift is the path down which our technological evolution lies.

So how does this relate to understanding Phi?

In Foundational Mathematics numbers do not represent ratios of lengths but rather they correspond directly to scale in terms of growth and contraction. The number 1 enjoys the distinction of representing the unified whole. The Uni – Verse, Creation’s One - Song. The number One is all that consciousness has manifested into apparent being while zero represents the dimensionless infinite potential of the unmanifested Mind.

Generally when people refer to the number 2, what they think they are referring to is the idea of 2 portions of 1. But in reality the act of counting as it is understood today, while certainly useful in ordinary experience, would see us manifest an entire second universe with the stroke of 2, and a third universe with the stroke of 3 and so on.

What is actually meant by counting two, is the consideration of a single universe of mind as two parts.  When one counts to three, perhaps without knowing it they have just created 1 of 3 parts in the conscious field, NOT 3 portions of 1.

I know that many of you who read this will think that such an assertion is beyond absurd. I hear you saying, “Of course I can count to 3, it’s one of the first things I learned how to do!”.  But I am telling you that from the perspective of Foundational Mathematics, you can not.  The universe simply won’t cooperate with you on this forever. It will present you with such mischief as infinities beyond the range of comprehension and oddities such as Prime Numbers which defy all explanation and myriad other problems akin to chasing shadows. Nature will not tolerate people trying to count into being whole new Universes!

Perhaps Phi’s inverse value should be named after the Greek numeral 6, “Stigma” or “Ϛ” since it is itself an important value for the Foundational Mathematician. Stigma, Ϛ = ~ 0.618033

Phi is about controlling the growth of conscious fields into ever more divisions while Stigma is about controlling the contraction.

In the algebra Phi tells us more about itself.

To get another perspective on this situation, we can re-arrange the equation a bit and think about it from a slightly different perspective.

I will elaborate more fully in a subsequent post.

Phi and the Fibonacci Series

In the late 1100′s, Fibonacci noticed something peculiar about the following series of numbers (now called the Fibonacci Series).

1 , 1 , 2 , 3 , 5 , 8 , 13 , 21 , 34 , 55 , 89 , 144 , 233 … and so on

In case you don’t see it, the sequence builds upon itself by always adding the most recent result with the previous. For example, the next value in the sequence above would be found by adding 233 with 144 which is 377.

Fibonacci took a close look at the ratios produced by this series as given below:

1/1 = 1.000000

2/1 = 2.000000

3/2 = 1.500000

5/3 = 1.666666

8/5 = 1.600000

13/8 = 1.625000

21/13 = 1.615385

34/21 = 1.619048

55/34 = 1.617647

89/55 = 1.618026

144/89 = 1.617978

233/144 = 1.618056

and so on.

As is plain to see from the above listing, what Fibonacci found is that the higher you are in the series, the more the value of the ratio converges with Phi.

I have developed a chart showing this. I have color keyed this chart in accordance with my numeric polarity theory showing how the interlaced positive and negative magnetic polarity cycles in the Fibonacci series.

For those interested, below is the error term of the convergence taken to 243 significant figures. Again, my Numeric Polarity is indicated.

The table below expresses the Fibonacci series values as points on the circle of 12 within the incrementation they appear. 12 is relevant here because the Fibonacci sequence itself naturally cycles from zero to zero through 12 completing the full cycle of polarity in 2Pi (ie. 24)

It is quite astounding to see that when you increase your “altitude” from this chart, you can see that the numbers have organized themselves into a very regular double helical pattern.

More to come!