HOLON PRINCIPLES
HP1. *The whole has more dimensions than each of its constituent parts.*
In our simple example, the whole crystal form has three, the parts only two
dimensions.
HP2. *Each part is an aspect of the whole, seen from a lower order.*
When we put our mind into the frame of the 2-D order, then we perceive each
plane as a separate, individual part.
HP3. *The whole encompasses all its parts.*
The 3-D crystal form encompasses all its 2-D side planes.
HP4. *The whole is invisible from the orders of its parts.*
To the 2Ds, the whole crystal is not visible, because they do not perceive 3-D
space. They don't even know about the existence of their fellow 2Ds in the other
planes of the crystal.
HP5. *The whole is an undivided and homogeneous entity, while its parts appear
as separate individual entities in their order.*
The 3-D space within the whole crystal form is continuous and homogeneous. In
contrast, the parts exist as discrete 2-D entities.
HP6. *The whole and its parts are one and the same, viewed from different dimensional
orders.*
From the 3-D point of view, we see the whole crystal, and we consider its surfaces
as mere aspects of the same thing. From a 2-D point of view, we have discrete,
individual planes. Another analogy for HP6 is David Bohm's fish-tank with TV
cameras. The important point in holistic thinking is to distinguish carefully
between observations made from different orders.
HP7. *Both the whole and its parts are real, but the whole has a more profound
reality.*
There should be no disagreement that a 3-D form is more profound than a 2-D
plane.
HP8. *The parts are wholes in their own right at a lower order.*
Each plane is an entity of its own in the 2-D order. In turn, the lines are
1-D aspects of the 2-D planes, yet they are entities in their own right within
the 1-D order. And so are the points aspects of the lines, but they can also
be seen as entities in their 0-D order.
HP9. *The whole is immanent in each of its parts.*
Our 2-D creature analogy is more representative if we picture the 2Ds as crosscuts
of billiard balls, as figure 2 shows. They still have 2-D "bodies",
but their real self is invisible to them in 3-D space, as ours is for us in
M-D space. Asked about the location of their real selves, they would say that
they are inside their bodies but transcendent to them. The term used for inside
while simultaneously transcendent is "immanent".
HP10. *A change of any part goes simultaneously with a change of the whole,
and a change of the whole goes with changes in its parts.*
A change of any crystal plane goes with a change of the whole crystal form,
including other planes. One has to be careful here not to assume too easily
a cause and effect relationship. From the lower-order environment of the parts
we might conclude that one part pushes its adjacent parts around, causing them
to change. But, viewed from the higher dimensional order of the whole, the whole
is undergoing a change that is reflected in its aspect-parts, perhaps without
us being able to say where the change originates. From the whole's point of
view, there is no difference between the whole and its parts (HP6). It makes
no sense to differentiate between a cause coming from a part or the whole. For
instance, when faced with the problem of fitting a crystal into a non-yielding
mounting, it makes no difference whether one changes the length of lines, the
shape of planes, or the form of the crystal. All goes together simultaneously.
More will be said about causality within a holon in section 4.
It is very important to understand how change is transmitted within a holon.
Suppose one part changes in some way. This is associated with a corresponding
change of the whole. Now, since the whole is immanent in all its parts, they
are all affected, their inner disposition is changed, affecting their future
trend. The communication between the parts via the whole occurs because the
whole is homogeneous, undivided.
HP11. *It is impossible to perceive simultaneously more than one aspect of a
whole undistorted from a lower order.*
Assume that we take a photo of a crystal, with the camera film parallel to one
of its planes. Only this plane appears with its correct shape on the photo,
all other aspects appear either distorted or not at all. The 2-D photo is in
a lower order than the 3-D crystal.
HP12. *The holon principles 1 through 11 apply to all dimensional orders.*
The reader may want to verify each holon principle for the case that the crystal
planes are the wholes and the lines their parts. Then repeat the same for the
lines as wholes and the points their parts. (Note that points can change only
their positions). Having established that the principles are valid for all three
transitions from 0-D through 3-D, the best assumption we can make is that they
are also valid for all higher dimensional orders. HP12 is postulated as a reasonable
hypothesis.
HP13. *The holon principles 1-12 are aspects of one master holon principle.*
The holon can be experienced directly, without passing sequentially through
the principles 1-12 one at a time. This writer had this experience spontaneously
as a young person. It was impossible to describe the holon directly without
braking it down into discrete, individual principles. Even then, something is
still missing: the homogeneity, the depth, the integrity, the vitality of the
holon. The holon principles are an interrelated group. A mathematician might
be able to formulate a single expression for the holon, from which the individual
holon principles can be derived. We shall apply the holon principles as a "holistic
logic" to research the M-D reality.
HOLON EXAMPLES
The holon principles have been stated above using only one simple example. Other
examples are those listed in section 2 for the discussion of common sense limitations.
Each pair of space-time, energy-mass, etc. forms a holon with its respective
whole. As far as this writer can determine, each pair fulfills the cited holon
principles, subject to verification by physicists and psychologists, thus extending
the validity of the HP's to four dimensions.
An example for holon principle (HP11) is the Heisenberg uncertainty principle,
an important cornerstone of quantum physics (34)(35)(36)(37). It states (in
one of its versions) that it is impossible to measure both the position and
the momentum of an electron simultaneously. (The momentum is a measure of motion).
Assuming that the electron exists in a higher order than 3-D, holon principle
HP11 makes this same statement. It appears that the Heisenberg principle is
a special case of holon principle HP11.
The holon principles provide a plausible explanation for the so-called double-slot
experiment that has puzzled quantum physicists. The experiment is well described
in popular literature (38)(39). We will explain it here highly simplified. An
electron gun shoots electrons against a target screen at some distance, similar
to a rifle practice range. Now we place a shield between the gun and the target
screen. The shield has two slots next to each other. We shoot only one electron
at a time towards the slots. If we cover one slot, the picture on the target
screen beyond shows the spot where one electron has hit, as expected. The same
thing happens if we cover the other slot. However, if we leave both slots open,
the target screen shows a broad interference pattern from two electron waves
that come from both slots. We know that electrons can show up as waves. The
surprise is that we get two waves from a single electron. How can a single electron
go through two separated slots simultaneously? It is like shooting a billiard
ball into two pockets simultaneously.
The answer suggested by holistic logic is that the electron is a holon with
its parts in our 3-D space, but its whole in 4-D space. Using a 2-D/3-D analogy,
suppose two persons observe a low flying airplane through two widely separated
holes in a roof. As the plane passes in close proximity, both persons take photos
of it simultaneously. Each developed film shows the airplane clearly and unmistakably.
But, if we view both negatives together, one on top of the other, there is interference
between the two images.
Similarly, the screen in the experiment shows clear pictures of a single electron
when viewed separately, but an interference pattern when viewed simultaneously.
As the airplane flies by in the third dimension while we are watching it from
two positions on the 2-D ground, so the electron flies by in the 4th dimension,
while we are trying to figure out how it passes through both slots arranged
in 3-D space. We see only two different aspects of the electron, not the electron
itself. True to holon principle HP11, no 3-D analogy can accurately describe
all aspects of a 4-D situation. The example does not convey that the part and
the whole are not separated (HP3, HP6), as the photo and the airplane are. It
ignores also that one can change the whole by changing its part (HP10). Another
holon example may be seen in the colors of a rainbow, which are integral parts
of white light. When white light is sent through a prism, it fans out into different
beams of light with the colors of the rainbow, from red through violet. White
light as a whole appears physiologically uniform and homogeneous. In physics
terms, it covers a certain frequency range of electromagnetic waves. Its individual
parts, the perceived colors, have different frequencies and are enfolded in
the white light. If one sends the same colors back through the prism in the
opposite direction so that they merge properly, one obtains pure white light
again. In physiological terms, the prism provides a transition from the whole
(white) to its parts (colors) and vice versa. White light has two degrees of
freedom: ranges of color and intensity. The individual colors have only one
degree of freedom left: a range of different intensities. This example suggests
also how quantum physicists "collapse" quantum wave-packages from
M-D space into particles (40), as discussed later under Multiple Worlds, Section
4.
Other holon analogies can be taken from the field of information. The words
on this page represent holons with the letters of which they are composed; so
do the sentences with the words as their parts, the sections with their sentences,
and the whole paper forms a holon with its sections. A symphony as a whole transcends
its parts, the melodies, and in turn the melodies are holons with the notes
in them. In visual arts, a painting from a good artist expresses dimensions
far beyond the assembly of its colors on the canvas. One can distinguish the
quality of an art piece by the degree with which extra dimensions are expressed
through its constituent parts, be it with colors, marble, tones, or words. Thus
some modern "works of art" that are produced through an arbitrary
mixing of elements cannot qualify as real art. Another example of holons in
communication are TV pictures. The electrical signals that appear in time sequence
on the screen represent the separate parts of the TV picture as a whole. The
reader may want to select his or her examples from the infinite range of holons
in our world, from subatomic particles up to the myriad of galaxies (41). It
is better not to start with man-made holons, such as machines or organizations;
they often do not represent true holons. The following sections will show how
the holon principles lead logically and naturally to a model of the universe
that encompasses harmoniously the seemingly conflicting world views of science
and religion, of Western and Eastern thought, of matter and mind.
4. THE HOLISTIC UNIVERSE
GROUP ENTITIES
The whole of humanity encompasses the characteristics and capabilities of all
humans (HP3). Holistic logic tells us that the entity of humanity forms a holon
with all humans. Therefore we assume that a humanity-entity exists in M-D space,
with much superior reality and capability than ours. We cannot perceive it,
yet it is immanent in us. Humanity-entity includes all our characteristics,
therefore it has the characteristic of a single individual that pursues its
own interests. It is more intelligent than the smartest people throughout history
combined. From its M-D environment, humankind-entity perceives interrelationships
and potentials that are impossible for us to fathom. It is aware of our thoughts,
because its consciousness includes the consciousness of each human (HP3). As
it implements its decisions, it carries us along as we do the cells of our body.
This does not mean that we are not free as individuals. Moving along with the
humankind-entity is our inborn desire, because the humanity-entity is immanent
in us. The humanity-entity is our very essence, our source, our root cause.
Expressing it is what we live for. It means unfoldment of our innermost potentials.
The desires of humanity are in our hearts. We want what it wants, and we are
free when we can do what we want. From the humanity-entity's point of view,
it and we are one and the same (HP6). Humanity-entity's will is our inner drive.
That is unless we confuse some erroneous notions of ours with the will of our
real innermost self. (This is when we begin to lose our freedom). One must distinguish
between independence and freedom. We depend on humankind-entity for our very
existence, yet we are totally free to express our own true nature, which is
the nature of humankind.
The conscious decisions of the humankind-entity dwell in us unconsciously and
we experience them as instinct, as impulses. Thus, unless we have cluttered
up our mind with wrong ideas, we can trust our instincts and act spontaneously.
Then we take advantage of the superior knowledge and intelligence of our inborn
humankind-entity. It is like our fingers doing the bidding of our will. They
follow the impulses of our nervous system, initiated by our decisions. We can
say that they act instinctively, on impulse, spontaneously. Their instincts
are aspects of our conscious decisions. They can trust their instincts, because
we are vitally interested in their welfare. We can say the same for our own
relationship with humanity-entity. This does not absolve us from using our mind
and do our best. Humanity-entity depends on us, as we depend on our fingers
to do their job.
A change in any human, for instance from experiences, goes with a change in
the humanity-entity (HP10), and since it is immanent in all of us, we are all
affected through our inner disposition, the mind of humanity-entity. The transmission
from one individual to the others occurs because the humanity-entity is undivided
and homogenous (HP9). Such interchanges are more pronounced for people who are
closer to each other, because they form M-D wholes on a more intimate scale.
Because of our immanent interdependence, we carry responsibility for others
as well as for us, whether we are aware of it or not. A drug abuser hurts us
all. On the other hand, positive efforts of a few can elevate all society, even
if their deeds are not known.