User:Tjstjohn/sandbox

Introduction
The word “holomorphosis” is a combination of the words “holotropic” with “metamorphosis”. Holomorphosis, which is presented as a proposed theory of everything (TOE), is based on the idea that anything and everything in existence, including both physical and mental realities, can be modeled as the product of a self-referential process, which itself is well understood in physics and engineering as the concept of a simple harmonic oscillator. The idea of the “holomorphic process” was conceived in 1995 by Theodore J. St. John, Ph. D., an American polymath: a philosopher, scientist, electrical and nuclear engineer, career naval officer, medical physicist and artist, but it didn’t start to develop into a scientific theory until 2018, when “The Holomorphic Process-Understanding the Holographic Nature of Reality as a Metamorphic Process” was published in an open access journal for the record. (StJohn 2018)

The holomorphic process is a way to model movement or motion because the premise of holomorphosis being a theory of everything is that everything is a form of motion. This was the starting point in the development of physics and the endpoint – the conclusion made in quantum physics. Simply put, the holomorphic model is one complete oscillation, also called a vibration or a cycle, which is first divided and labeled as a projection and a reflection. Then, in order to fit the reality that living organisms grow, both physically and consciously, the cycle is separated at the beginning of the projection and that point is labeled separation. The point after the reflection, where the cycle returns to the separation is labeled the return. So one complete oscillation is described as separation, projection, reflection and return. If, in the subject being modeled, the return is perceived to be at a higher level than the separation, the circle is twisted slightly into a helix so that the return is elevated above the separation and it marks the separation of the next cycle. However, as a theory of everything, the model must be applicable to subjects that are not perceived to be split. So the return is relabeled the reunification.

Application
All physical systems have momentum, and when they participate in a cyclic process, such as a pendulum swinging back and forth, there is a point at each end of the cycle where the movement stops and turns around. Because that stopping point can vary in size or duration, they are treated as separate steps in the holomorphic process rather than as negligible points of reference. Therefore, the holomorphic process refers to them as explicit steps in the cycle.

One of the key points in the application of the holomorphic process, and the reason that the end of a cycle is called holomorphosis, is that the result or product of the process is something different and somehow better than the input. In the case of an oscillator, “better” simply means that the wave at the output has more variation or motion than the non-varying input “forcing function”. In quantum physics, “better” means the result of observation results in reunification of the quantum wave function into a well-defined particle, as will be shown below. As applied to living organisms, “better” means a better version of its former self.

These applications reveal the value of the holomorphic model: by knowing the process and understanding that the process flows naturally in a specific order, which translates to direction in motion and attitude in a living organism, it can be used as an indicator that points in the “right” direction, where “right” refers to the direction that naturally resonates, like a self-sustaining harmonic oscillator. It is also valuable to understand how feedback affects the process, especially how it must be the “right” feedback or else it will make the subject unstable and lead to self-destruction. (Consider the Tacoma Narrows bridge for example.)

The focus on physics
Holomorphosis is considered to be more comprehensive than other TOEs in that it encompasses physics as well as metaphysics. If it is truly a theory of everything, then it can be useful as a model for any area of study. This paper focuses on physics, where it appears expressed in two different forms:


 * in quantum form as a single complete cycle or “kernel” of the holomorphic process (a quantum particle described as internal motion in terms of a wave function as a phasor diagram in polar coordinates), and
 * in relativistic form as a combination of the first form to represent a physical particle and the second form to represent the particle moving in space (so the particle as a separate entity is the separation and the linear motion in space is the projection presented in rectangular coordinates). The superposition of these two (reflection and reunification) will be shown after the next section.

However, it is not necessary to know quantum physics (or any physics for that matter, as mentioned briefly in the next section) in order to understand the holomorphic process. According to classical physics, a self-referential system, like an oscillator, starts with an unwavering forcing function as its input, which is made to oscillate between two extremes (two extremes represent the separation) by the oscillator and the output is the projection. A small part of the output is then fed back (the reflection) from the “output” to reunite and regulate the “input”. Once started, if there is no friction, resistance or other dampening function, the forcing function can be removed and it would be self-sustaining. But the feedback must remain within a narrow band of frequency (the resonant frequency or “sweet spot”), which is characteristic of the components that make up the system.

If the feedback somehow gets outside of the sweet spot, the oscillator will become unstable because the output, which is fed back to the input, will change the input, which will change the output even more and so on. If it is not somehow corrected, the oscillations will dampen and die out. And if the input signal is amplified, the output will blow up and may eventually destroy the physical system that made it exist.

Evidence of the holomorphic process in nature and the Humanities
“Everything” in a theory of “everything” must be applicable to and evident in nature, including human nature, which is the subject of humanities. Holomorphosis and the four steps in the holomorphic process are evident in humanities in various different forms, such as the four archetypes in Carl Jung’s model of the psyche, the four-stage cycle or “turnings” in societal moods or attitudes described in Strauss-Howe generation theory. However, they describe how the order has played out in history as crisis, high, awakening and unraveling. According to the holomorphic process, this is evidence that the leaders of society (the ones who control the feedback of the peoples’ work) have forced the process toward continuous projection, which has repeatedly resulted in destruction (the crises). If the holomorphic process were followed, the order would be awakening, high, challenge rather than crisis and unwinding, i.e. rest rather than unraveling, with a return to a new awakening. This order is expressed in positive psychology as “Flow”.

Joseph Campbell describes the cyclic model of the mythological “hero’s journey as the “monomyth”: separation, initiation, return (where “initiation” is a combination of projection and reflection), and Steven Covey presents it as a model of the maturity continuum: dependence (birth as an event of holomorphosis), independence (as a separation and projection), interdependence (as a reflection and reunification with society) and return to oneself represented by the model being circular).

The fact that holomorphosis is a multilayered “convolution” (meaning that the new form is shaped by the old form) of many individual cycles, each of which is twisted and absorbed or encoded by subsequent cycles, makes it difficult to decipher from the outside in if the old form is physically collapsed inside of the new (as will be shown in the section below). However, it should present in the physical structure of living organisms. And there are plenty of examples of a special ratio that appears in many forms in nature called “the golden ratio”. So it is used here to provide evidence of the viability of the holomorphic process as a predictive model that can be tested by science.

How to scientifically test the holomorphic process
If the new form (call it A) and the old form (call it B) are numerically considered as equals, then the sum of the two is simply (A+B). But the product of the two forms (what is produced by the process as a whole) is (A×B). And if they are two different forms of the same thing, the mathematical representations of each one must be equal; so A×B=A+B. Clearly, since A and B are just different symbols for the same thing, A=B, then the numeric solution to this is A=B=2. This is interpreted as the requirement for duality, i.e. there must be both a projection and reflection. However, the new form is more mature and the two forms physically appear to be different because the old form is physically collapsed inside of the new form. And since they are both part of the same organism, the new form must contain both. If the new form is created without changing the old form in any way, then its physical size relative to the size of its old form (“relative to” is expressed as a ratio) is limited to a “sweet spot” just like the output of a harmonic oscillator.

This “sweet spot” is the golden ratio. To prove this, recall that A represents the new form and B represents the old form. The size of A relative to B is the ratio A/B, which should be greater than 1 because the new form contains the old form. So the previous scale, where both A and B were numerically the same size, doesn’t work. But the new form is also the sum of itself and the old form, so it must still be (A+B). Thus the size of the new form, relative to the way it used to be (A) is the ratio (A+B)/A. If the two ratios are equal to each other, the equation is (A+B)/A=A/B. The solution to that equation is called the golden ratio, Φ, which is equal to 1.6180339887… So the golden ratio is simply the rescaling effect that happens in the reunification. Physically, this is accomplished in nature by twisting the shape so that the inner and outer rings of, say a flower or the patterns on a pinecone appear as a golden spiral. At the atomic level, this twist is called “spin”.

If the holomorphic process is allowed to flow naturally, rather than trying to force the projection for the sake of progress, and if a human-form observer participates in the process, the reflection phase twists the observer so that the reflection that he or she sees appears as a holographic image. Holomorphosis at that level is an awakening. A detailed description of these and other examples are presented in a book Holomorphosis and the Hologenetic Universe currently under review for publication.

It is difficult to publish the holomorphic process in a scientific journal because mainstream science is strict about maintaining a separation between science and philosophy. But to paraphrase a quote by Einstein, "Science without philosophy is lame, philosophy without science is blind." The philosophy behind holomorphosis draws from (and is therefore a reflection of) two philosophies of physics: the standard Western philosophy of physical science, which describes reality as “an assembly of static individuals whose dynamic features are either taken to be mere appearances or ontologically secondary and derivative”, and Process Philosophy, which “is based on the premise that being is dynamic and that the dynamic nature of being should be the primary focus of any comprehensive philosophical account of reality and our place within it.” Physics as it currently exists was built upon the “standard philosophy” and initially a particle was treated as a unit of energy without any consideration of frequency or information content.

The abstract notion of “energy” as an unquantifiable whole refers to an implicit concept that is made explicit by the law of conservation of energy, which states that energy (as an explicit quantifiable total) can neither be created nor destroyed, but only changed in form. It was therefore made explicit by separating it into two forms of energy: the energy of motion and rest energy, which was also separated into internal energy and potential energy. And most problems in classical physics could be solved by expressing them in equation form in such a way as to conserve total energy. So the philosophy of physics was centered on the principle of energy being a conserved quantity and the science of physics grew by the discovery of individual relationships. Note for the sake of analogy that the relationships were “twisted” or “spun” into symbolic form as a special “encoded” language and stored in textbooks.

Mathematical equations as an expression of the holomorphic process
The holomorphic process models the way that equations operate because each component of a relationship is represented by a symbolic representation of physical concepts that are separated and projected to opposite sides of an equals, greater-than, or less-than sign. Thus, an equation as a whole represents a mirror image of a concept expressed in two ways, either a true reflection (using “=”) or “warped” (“<” or “>”). Upon reflection in the mind of someone who knows the implied meaning of each symbol, the equation is reunified as a whole with greater meaning than the individual components. In effect, this reunification induces or “collapses” something in the mind of the person (the “observer”) that makes the mind grow. That “something” is referred to in Process Philosophy as an “event-particle”.

Whether or not an event-particle represents an actual physical particle in the brain is not as important as the fact that it remains “planted in the mind”, encoded as a pattern of information about the event of observation. However, the formation of actual atoms, which would make an element or compound, could be verified with scientific research. In the book, Holomorphosis and the Hologenetic Universe, the holomorphic process and the golden ratio are used to predict the existence of a new element very similar to gold. The recommended name for it is “Holomorphium”.

Another important point is that a similar event-particle would be induced even if the equation were not actually correct since the observation actually happened despite the untruth of the “statement” (the equation). Fortunately, unlike other statements made in other subjects like humanities, a physicist-observer is able to verify whether the relationship was based on truth or untruth by substituting numerical values into the symbols – numbers that actually reflect the truth in the form of actual quantities and solving the problems. Solving problems in humanities can be much more difficult. Therefore, the holomorphic process can serve as the fundamentals of a branch of science called “Social Physics” was proposed back in 1803 but has only recently started to be recognized as a very valuable tool for building a bridge between science and humanities.

Separation and projection
Separating the implicit word “energy” into different forms, as allowed by the law of conservation of energy, germinated the “seed” for the growth of physics. As an implicit concept, energy is what it is: an eternal “kernel of truth” in the “implicate order” that can be expressed in the “explicate order”, to use the words of physicist David Bohm. (Bohm 1980) It is “eternal” in that it does not invoke the concept of time, but it is useless as a tool for developing physical relationships. However, once it is separated and expressed in terms of space and time, it can be transformed by using the holomorphic process into any and every relationship that involves energy. By repeatedly applying this process, science “grew” as a tree of scientific knowledge, with physics as its trunk. It projected many branches and produced many “fruits”. But like any fruit tree, there comes a point when the branches grow too small and weak to support more fruit. And like any metaphor or model, there comes a point when it becomes over extended.

Classical physics reached its limit as an expression of reality and underwent a metamorphosis. The cicada bug (“a superfamily of insects in the order Hemiptera (true bugs)” ) is a better metaphor in that, when it transforms, it leaves behind a shell of its former self. Classical physics is a shell that can be reanimated in a way by the correspondence principle. However, modern physics still uses a lot of the same symbols and “genetic information” that grew classical physics, including the “kernel of truth”, which is energy. So an even better metaphor for physics is the nucleus of a cell, which holds genetic information as a DNA molecule that is present in every relationship “cell” in physics.

The metamorphosis that produced modern physics was a transformation that happened as a natural result of classical expressions reaching their limits of applicability and their ability to describe phenomena at the quantum level. And this quantum domain of reality could only be observed because classical physics produced the fruit of technology, so as long as physicists participated in the holomorphic process, this event was inevitable. But rather than reflecting on and recognizing the fundamental flaws in the interpretation of space and time, they held firm to the well established standard philosophy that localized particles are primary and a wave function is something that propagates outward and is thus non-local in nature. The result was the particle-wave duality paradox.

Reflection
The band aide solution that is still accepted (sometimes reluctantly) today is that both concepts are simultaneously true, but that the wave function is simply a statistical expression of the probability of finding a quantum particle in a particular state when it is observed, i.e. measured. And that works for most practical applications. But some of the more insightful physicists who were not addicted to the standard philosophy interpreted it to mean that consciousness actually causes the wave to collapse into a particle, effectively creating the particle.

According to the holomorphic process theory, consciousness is indeed involved, but in a more sensible way. Rather than having any effect on the particle or wave, an observation of a particle collapses the model, which exists in the observers’ conscience. In other words, it requires the observer “realize” the particle, not “create” it. That means to switch from one perspective to another, exactly like you have to switch your perspective of any object at rest when you realize the truth –that it is actually moving in space and time relative to practically everything else in the universe that is not “at rest” in the same reference frame.

Reflect for a moment on the basics:
It was already known that energy in the form described by a wave could be expressed in terms of frequency (inverse time) and wavelength. And when Einstein presented the Special Theory of Relativity, it was not a new theory; it was just an extension of principle of Newtonian or Galilean relativity, i.e. an extension or projection of its applicability toward the high speed limit that revealed its limitations near the speed of light. That is where the classical model breaks down due to Einstein’s reinterpretation of the concept of simultaneity. And it also revealed that the speed of light is the only thing that is constant – unchanging. Like the implicit concept of energy, light can neither be created nor destroyed, but only changed in form. It was a clue that light is just another name (like “A” in the description above) for energy (“B”). And it was a clue that there was a fundamental flaw in the interpretation of space and time. As I mentioned above, rather than reflecting on and recognizing the fundamental flaws, they continued to project new equations to create “more advanced” physics that studies spacetime by maintaining the notion that space is three-dimensional and time is one fundamentally different kind of entity that is somehow mixed with space. That branch of physics requires a new breed of really smart physicists called “Mathematical Physicists” and is practically inaccessible to “normal” philosophical physicists.

And once it was discovered that the energy of particles as well as light, assuming the form of particles (photons) could be described in terms of frequency and wavelength, quantum theory “came into its own” with another new breed of “Quantum Physicists”. Quantum physics then developed to be the most successful theory in physics history. And it was used to calculate the energy levels associated with spherical harmonics that corresponded to atomic orbitals characteristic of all known elements. So the focus remained on the physical, particulate model with energy levels as the organizing principle that gave structure to the Periodic Table of Elements. In other words, it still used the “standard philosophy of physics” that held static individual particles as primary and dynamic properties as secondary.

Thus this “standard philosophy of physics” had it own momentum, like a large compound organism made up of many event-particles. And today, Mathematical Physicists and Quantum Physicists are struggling to reunite physics through “quantum gravity”. The holomorphic process theory is submitted to help that happen.

Reflection on the truth and logic about basics:
Classical physics was developed, starting with energy: separating and projecting the concept of energy using a variety of expressions. When it reached its limit, physicists reflected on the truth being revealed by experiments like the double-slit experiment and other problems like black-body radiation. It is important to note that this reflection is the contrapositive form of truth, i.e. if the relationships do not predict the truth in every case then they must not be a perfect reflection of truth. The Special Theory of Relativity revealed that the classical interpretation of space and time was not perfectly accurate and the General Theory revealed that the classical concept of gravity was not accurate either. That note calls for a discussion of the importance of understanding and applying formal logic, but the “call” will be deferred to another paper in the interest of brevity. The point here is that the metamorphosis was initiated as a result of the reflection step in the holomorphic process. (The “call” was a reflection on the humanities discussion just for fun; the “initiation” is a major step in the “hero’s journey”. In this myth, Physicists are the hero.)

The holomorphic theory reinterprets a unit of time, based on philosophy expressed by E.A. Burtt in The Metaphysical Foundations of Modern Science (Burtt 2003) as a reflection of a unit of space. (StJohn 2018) Basically, Burtt stated in essence that motion, which, once you know that a static particle has internal motion, is another name for energy, was the primary (ubiquitous, timeless and implicit) reality and that time is nothing more than a mental recording of a standard unit of motion. It is used in the equation for speed by symbolizing it with the letter t (which automatically makes it the logical inverse or first-order reflection: “not-energy” is the logical inverse of “energy”). Then it was projected in the equation as the mathematical inverse (1/t) (which makes it the logical contrapositive or second-order reflection: “not-not-energy”) and standardized in units on a standard clock e.g. minutes.

Thus time is used simply as a common denominator for other measures of motion, “speed”. s=x/t where x and t are both finite measurements. Notice that if x and 1/t are just different ways of measuring the same real thing, call it “R” then x=1/t would yield t=1/R, and s=x/t could be written as s=R/(1⁄R)=R^2, which is Real Space. But that makes unit analysis impossible, so for all practical purposes, it is useless.

But for the purpose of the next metamorphosis of physics, it is priceless for creating a physical interpretation.

Physical Interpretation of time in terms of the holomorphic process
The return or reunification step in the holomorphic process and “Holomorphosis” refers to the event, when all of the relationships, expressed in the new language of Quantum Mechanics, can be directly correlated to those expressed in classical physics. And physicists have done a great deal working the process, but there is still something missing, as expressed by physicist Lee Smolin in his books. (Smolin, The Trouble With Physics 2006) (Smolin, Time Reborn: From the Crisis in Physics to the Future of the Universe 2013) The following discussion presents three transformation “tricks” that hope to bring about holomorphosis.

If relativistic space is modeled by three dimensions as it normally is in classical physics, then a spherical unit of energy, like an flash of light expanding in space can be expressed by that model – the way we actually see it – OR by a model that represents all of space as one dimension on one axis and time as the other axis, scaled with t=0 at the point of the flash, similar to the way Minkowski presented it in his spacetime diagram. Use of that as a model for relativity has required very complicated mathematical operations and sets of relativistic tensor equations that only skilled mathematicians can work with. And it has thus far failed to produce reunification with quantum mechanics.

One very simple trick used in the holomorphic theory is to interpret t=1 to represent the “event-reference” – the “surface of the flash” – that expands in space as shown in Figure 1. Thus the expanding sphere is considered the “event-particle”. In other words, the point t=1 is considered the moving reference, so it must move and grow in units as the radius of the sphere. The second trick was introduced by Einstein in his thought experiment: “riding the wave” to see how a beam of light would look to itself, if the observer actually were the quantum wave event-particle. “He” would look exactly the same every time he observed himself. From his perspective, the event reference would never change but space, as scaled by the radial time axis would be growing linearly inward, but the flash bulb and the distant time axis would appear to be collapsing at the center of the sphere.

Figure 1
But if this truly represents a model of a localized quantum particle, then it must have a finite size when observed by another, separate observer in the “rest frame” who is also a collection of quantum particles separated in spacetime. So he (and we) must be able to represent it on a linear rectangular coordinate system. This is the third (not so simple) trick used in the holomorphic process theory. By superimposing the inverted time axis onto a normal linear axis inside the first increment of the relativistic scale and doing the same thing to the space axis to represent space as a whole on both axes, the quantum particle presents as a single localized unit on both axes (S1) and (t1), also shown in Figure 1. And because “1” on both axes means one unit of energy in any form, both axes represent energy and Einstein equations for energy in terms of spatial frequency E=hc 1/λ and temporal frequency E=hv=h1/t fall right in place as shown in Figure 2.

Figure 2
The diagonal line labeled “Slope = c” in Figure 2, represents the speed of light on the linear coordinate system, but on the inverse system, the slope is 1/c, which in natural units is the “fine structure constant”. Being able to calculate the fine structure constant is one of the key points missing in current attempts to find the theory of everything or “Grand Unified Theory” in physics.

Reflect one more time and project with a new attitude
If the expanding sphere of light were the superposition of many flashes of different colors (energy levels) happening continuously at slightly different positions of a “human body of flash bulbs”, then it would still look like a sphere but with a variety of different energy levels and elemental characteristics. If “the observer” then returned to this “physical body” and looked outward, he would see his “light body” projected all around him. Until he can see the inner surface of the expanding sphere as his own reflection, he might interpret his physical body as being primary and separated from everything else out there that is “not-his-body”. Therefore, he would have started his own holomorphic process cycle of being initiated into his own hero’s journey. He will have to live in order to create enough “event-particles” that are shiny enough projections of truth to see his own reflection, so that his awareness can return and experience his own holomorphosis. However, if he starts his journey with the attitude that he is one with all of the energy in his surrounding “bubble”, he would know what he was looking for and he would know better than to spin the truth in ways that he himself can’t even recognize. If he were a physicist, looking out at the surface of the expanding sphere, all particles that formed out there would be moving outward from him and from each other and appear to have a red shift in frequency. And he would not interpret this as evidence of a meaningless “big bang” but rather as evidence of his awareness of it and the collective expanding awareness of humanity.