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Primary Archetypes
 PRIMARY
ARCHETYPES

"Archetypes are forms without content" (Carl Jung).

"Science itself is based on archetypes" (Carl Friedrich von Weizsacker).

"All the most powerful ideas in history are based on archetypes" (Carl Jung).



The Jungian Theory of Archetypes

Archetypes and Collective Unconscious

The word "archetype" derives from the Greek "arche" (principle, origin, supreme source) and from "typos" (model, mold, form, shape, pattern, matrix). Archetype means, in general, original model or primordial, primordial or underlying form, from which something unfolds or manifests.

The concept of archetype has varied throughout history, but it was Jung who built a complete theory around this concept and on what he called the "collective unconscious".

For Jung, archetypes are energies, forces, patterns or dynamic primary forms, the universal abstract functional units emanating from the collective unconscious and manifesting in multiple forms. Archetypes are the essential and deepest structures within the hierarchy of the psyche, the universal patterns that shape our experience of the world.

The collective unconscious is the common psychic reservoir of all humanity, transcending all cultures. All of humanity is connected, at a deep level, through the collective unconscious. The collective unconscious is structured in archetypes. They are like the "psychic DNA" of humanity. Archetypes are the deep psychic structures shared by all human beings.

The characteristics of the collective unconscious are as follows: The characteristics of archetypes are as follows:
The individuation process

Jung called "individuation process" the process by which an individual gets in touch with his deep essence, reconciling and harmonizing the realms of the conscious and the unconscious. Individuation means "becoming oneself" and is equivalent to self-realization. This process cannot be done by rational means, but through intuitive interpretation of symbols in dreams, fantasies, visions, etc., and through a technique that Jung called "active imagination", an active method oriented to establish a conscious dialogue with the images produced by the unconscious. Hermann Hesse said: "Every man has a genuine vocation: to find the way to himself".


Archetypes and Unus Mundus

Said Jung [1970], "It is not only possible but quite probable even that psyche and matter are two different aspects of one and the same thing". Jung, in postulating his theory of archetypes and the collective unconscious, already suggested that the collective unconscious could also be the origin of the manifestations of the physical world. But it was his fruitful collaboration with the physicist Wolfgang Pauli (one of the founders of quantum physics) that motivated Jung to definitely broaden his exclusively psychic vision with a unified vision of nature, in its double manifestation, physical and psychic: the physical and the psychic as complementary aspects of the same reality. It is his hypothesis of the Unus Mundus (Latin for "one world"), founded on the belief that the diversity of the world is an expression of the same underlying unity. "Without any doubt, empirical reality has a transcendental background" [Jung, 1970]. The term "Unus Mundus" is borrowed from the ancient medieval alchemists, specifically Gerardus Dorneus, the most important disciple of Paracelsus.


Primary archetypes

Jung postulated that there should be a set of primary or basic archetypes, some universal archetypal forms, which would be the building blocks of the unified reality of the Unus Mundus, the basic and primitive elements of reality, which would be both ontological and epistemological.

For Jung, the deep structure of the Unus Mundus (the primal archetypes) could be represented by mathematical symbols, as abstract forms without content. Mathematics reflects the order of the Unus Mundus This explains the mystery of why mathematics is so effective in describing the physical world. Mathematics is the key to understanding the physical and psychic world.

Jung and Pauli intuited that there is an essential and profound identity between the internal (psychic) and the external (physical), an essential idea grounded in that the primary archetypes are common to both realms.

In particular, Pauli argued that the model of the primary archetypes should be the guide of all science and the unifying principle of all sciences. He claimed that the application of this model would have profound implications, as they would be the primordial or primordial concepts for the grounding and unification of all sciences.

Jung and Pauli intended to unify the world by means of the primary archetypes. They sought the philosopher's stone, the alchemical quintessence. "Conquering" the primary archetypes would achieve full consciousness, wisdom, power, freedom, enlightenment and individuation. For this task, it was key to identify exactly which were the basic, primary or fundamental archetypes that structured the Unus Mundus But they did not have time to identify them, as their research coincided with the last years of their lives.

Jung and Pauli sought for the psychophysical world what the philosophers had attempted with the categories, the primary or supreme concepts of reality.


The "neutral" language suggested by Pauli

Given the universal character of archetypes, Pauli suggested that a unified language could be constructed −which he termed "neutral"− that would serve to unify physics and psychology, i.e., to represent both physical and psychic processes. This standard language, based on an invariant set of primary archetypes constructed from abstract symbolic representations of a mathematical type, would serve as the foundation of a post-Cartesian science that integrated and harmonized rational and intuitive aspects.

For Jung, number is a primary archetype, for playing an essential role in connecting the inner world with the outer world and should be part of that universal language.

For Pauli, this language should also include the primary mathematical intuitions, which manifest themselves in arithmetic (the discrete infinite, the infinite series of natural numbers) and in geometry (the idea of the continuum). Both concepts, the discrete infinite and the continuous, would be primary archetypes because we have to resort to intuition, because they cannot be represented nor can we perceive them directly by reason. And it should also include the primary archetype of symmetry.


Numbers as archetypes

Late in his life, Jung became interested in natural numbers: "I have a clear feeling that number is a key to mystery, since it is something that is as much discovered as invented. It is quantity as well as meaning" [Jung, 2004]. He concluded that number was the manifestation of an archetype of primary order: "Number could be the most primitive element of order in the human mind... so we can define number psychologically as an archetype of order that has become conscious" [Jung, 2004]. Jung held the conviction that the number-archetype was one of the primary archetypes of the Unus Mundus and that it is reflected in the structure and processes of mind and matter. Jung also suggested that imaginary numbers unified the inner and outer worlds, the conscious and the unconscious.

Jung considered the principle of quaternity especially important. Jung described the human psyche by 4 functions: perceiving, intuiting, feeling and reflecting. This principle is also reflected in structures such as mandalas, squares and crosses. And the center within a quaternary Jung interpreted as the quintessence. In the mandalas appear the geometric forms of the square and the circle, which represent the union of opposites. Jung interpreted quaternary structures as symbols of wholeness. For Jung, mandalas are archetypal images of the collective unconscious.

The square (the geometric 4, or spatial manifestation of quaternity) refers to itself, like all symbols and like self-consciousness, but in this case in a literal sense, for a square is potentially fractal because it can divide into 4 squares, and these in turn divide as well, and so on ad infinitum.

For René Guénon, the quaternary is represented by a square (if its static state is considered) or by a cross (if its dynamic state is considered).

Tetraktys
For the Pythagoreans, the Tetraktys (based on the number 4) was a sacred symbol. The quaternity has a 3+1 type structure, where the 1 is a complement to 3 homogeneous elements and which produces the closure of the totality. For example, in the theory of relativity, there are 3 dimensions of space and the fourth element is time, to create the space-time totality.

For Plato, "the ternary is the idea number and the quaternary is the realization of the idea". That is to say, the 3 is on a higher level than the 4. This is an earthly, material number (for example, the 4 elements and the 4 cardinal points). For Hindu philosophy, 4 reflects the idea of totality.

Jung and Pauli often argued about the principle of quaternity compared to that of trinity. Jung believed that the quaternary order has more value than the ternary. Pauli agreed with Jung that the quaternary played an essential role in reality. but he also believed in the archetypal power of the ternary, of the trinity. In fact, he studied the possible influence of this archetype on Kepler, the founder of modern astronomy, in formulating his 3 laws of planetary motion, in an essay entitled "The Influence of Archetypal Ideas on Kepler's Scientific Theories".

What we do know is that the number 3 is the number of consciousness because it symbolizes the union and harmonization of opposites. Thus, synchronicity has a ternary structure, since it is formed by the archetype (deep) and its two manifestations (physical and psychic). The 3 symbolizes the higher synthesis of mind and matter. The ternary is located vertically, while the quaternary is arranged horizontally, in the manifested world. The ternary is an active, intuitive, creative and spiritual principle, while the quaternary is a passive, rational and material principle.


Marie Louise von Franz's investigations of the natural numbers

Two years before his death, Jung commissioned his disciple and collaborator Marie-Louise von Franz to study the archetypal aspects of the natural numbers. The result was the 1970 publication of "Number and Time: Reflections Directed Toward the Unification of Depth Psychology and Physics." Thanks to von Franz we have, in summary, the following theory:
The Archetypal Paradigm, a Unifying Philosophy

The concept of archetype, which Jung first presented in his theory of the collective unconscious, and later in his theory of the Unus Mundus, is a universally valid concept. Archetypes manifest themselves everywhere and in multiple forms: in literature, in art, in science, in various cultures, etc.

Therefore, this paradigm should be applicable to the various domains (both scientific and humanistic) as a unifying philosophy of nature and mind, of the external world and the internal world. In fact, archetypal models have been realized in biology, sociology, religion, physics, mathematics, computer science, linguistics, art, music, mythology, ecology, literature, economics, politics, etc. Hence we can affirm that the concept of archetype is also an archetype (or meta-archetype), and that the concept of Unus Mundus can be considered the parent archetype of all archetypes.

The archetypal paradigm is of a top-down type: it goes from general principles to their particular manifestations. It is like a universal axiomatic. The materialistic worldview is the opposite, it is an ascending approach: it goes from particular observable phenomena to general laws, applying a process of induction.

The application of the universal model of archetypes to different domains has enormous advantages over other more or less particular paradigms: In the face of such theoretical advantages, there is the problem of finding the basic, fundamental or primary archetypes. It is assumed that, being profound, they are difficult to find. And indeed this is so because, paradoxically, they are so simple and obvious, that we are not able to see them. But once identified or discovered, everything becomes simpler and clearer.


Duality as a meta-archetype

Just as human consciousness is dual (and is associated with the two cerebral hemispheres), the entire universe also has a dual nature, thus establishing an analogy between mind and universe. This duality of the universe (which we may call Left Mode (or Surface Mode) and Right Mode (or Deep Mode), as the modes of human consciousness, manifests itself with different properties, including the following:

Left
Mode
Right
Mode
TemporalTemporary
SpatialIndependent
of space
RelativeAbsolute
Cause-effectSynchronistic
or acausal
LocalGlobal
ConsciousUnconscious
ObjectiveSubjective

In ancient Chinese philosophy, this primary archetype is called yin-yang, the dual, opposite or complementary universal aspects of reality. All other aspects are particular cases of this primary archetype, which we can qualify as meta-archetype, since it applies to all particular archetypes. Incidentally, that the yin-yang symbol is antisymmetrical (one part reflects the other with the opposite color).


Symmetry as a manifestation of duality

Symmetry is a manifestation at the physical level of the meta-archetype of duality. Symmetry has proven to be an essential tool for the development of science, and today it is one of the leading concepts in modern physics and mathematics. The two most brilliant theoretical developments of the 20th century, relativity theory and quantum theory, incorporate notions of symmetry as an essential foundation. Said Heisenberg: "In the beginning was symmetry".

Symmetry plays an essential role in reality. For Pauli, symmetry is a unifying archetype of mind and matter.
Archetypes in Computer Science

The philosophy of archetypes is being attempted to be applied to computer science as well. At the California Institute of Technology there is an "Archetype Working Group", which is applying the archetype paradigm to computer programming, to try to unify different aspects such as: identifying recurring patterns in programming languages and software development techniques; sequential, parallel and distributed modes of computation; etc. The expected result is a reduction of complexity in software development and a greater portability of the software on different systems. [see on the Internet "Archetype Project Homepage"]

Cyberspace is a human product and, therefore, archetypes must be reflected, which could explain the fascination with the Internet and its technologies. Indeed, we can consider the following as archetypes: The goal of the Internet should be to become a model of the human mind. This would require using the primary archetypes, which establish our degrees of freedom and our creative and imaginative capacity. In this way, the Internet will truly become the global mind.


Archetypes in Physics

Traditional Western culture is characterized by an implicit division between the physical (objective, external) world and the psychic (subjective, internal) world. In this division, the objective world has taken precedence over the subjective, to the point of considering the mind as an epiphenomenon of matter (the brain). This conception has been forged largely by the theoretical-practical success of the classical physics developed by Newton and his successors. According to this model, physical reality is determined by precise mathematical laws. It is the conception of the universe as a clock, as a deterministic mechanism.

With the irruption of modern physics (quantum and relativistic) this materialistic-deterministic model has been undermined, as the fundamental physical concepts have been replaced by others: The most important thing about the new model of reality is that the psyche or consciousness is somehow involved in the physical world.

In general, the basic concepts of physics (such as space, time, mass, energy, field, wave, particle, etc.) were originally intuitive concepts, archetypal ideas of the ancient Greek philosophers. These ideas evolved and became more concrete until they were finally expressed in abstract mathematical terms. For example, the concept of the elementary particle was formulated by Leucippus and his disciple Democritus, who called it "atom" (meaning "indivisible").

For Plato, the primary elements of matter are the 5 regular polyhedra, today called "Platonic solids": tetrahedron, cube, icosahedron, octahedron and dodecahedron. It is believed that Empedocles was the first to associate the first 4 with the 4 elements of nature: fire, earth, water and air, respectively. Plato associated the dodecahedron with the universe.


Space and time as archetypes

Every archetype unites the internal and the external, so space and time are archetypes, for there is an external (objective) space and time, and an internal (subjective) space and time. For Kant, space and time are a priori concepts.
Quantum physics

The fundamental laws of quantum physics were discovered independently by Werner Heisenberg (1925) and Erwin Schrödinger (1926), as models of the mysterious phenomena that contradicted the fundamentals of classical physics. The most prominent phenomenon was that of wave-particle duality. Electrons, which were considered particles, also behaved as waves. Light, which was considered a wave, exhibited particle properties (photons). Niels Bohr, to reconcile the two aspects, established the "principle of complementarity," according to which the two aspects are mutually exclusive, but both are necessary for the description of the phenomena of quantum physics.

According to David Bohm, there is an "ocean of energy" at a deep level, as the background of the universe, a background that is neither physical nor psychic. This corresponds to Jung's Unus Mundus Bohm's ocean of energy is the implicate or deep order of reality, which is of the unmanifest type. The explicate order is the manifest order.

According to Hindu philosophy, space and matter are two aspects of the same entity: the Akasha, the subtle physical level or deep space, the foundation and essence of all things in the material world. From the Akasha arose the whole universe, and to the Akasha it returns. Therefore, according to this view, the Akasha would be the unifying archetype at the physical level.

John Wheeler had already asserted that, for example, all electrons would be manifestations of a single archetypal electron. The story goes that one day John Wheeler telephoned his disciple Richard Feynmann and said, "Feynmann, I know why all electrons have the same charge and the same mass. Because they are the same electron!".

There are parallels or analogies between depth psychology and quantum physics (some were already discovered by Jung and Pauli): It has been suggested that the true language of quantum physics is of a mythical-symbolic type and that conventional mathematical language cannot express its strange phenomena, that it needs some deeper abstractions. Those abstractions in their supreme degree are the primary archetypes.

The string theory of quantum physics, the theory that currently has the best chance of achieving the unification of all physical phenomena, is based on an archetype: vibration. Everything vibrates: the atom, electromagnetic radiations, light, etc. "Everything is vibration" (Hermes, Pythagoras). The string is synonymous with flexibility and possibility. According to this theory, all particles and all forces are different modes of vibration of a primordial and archetypal string. The lower the frequency of vibration, the more material (superficial) it is; and the higher the frequency of vibration, the deeper and more subtle it is. The difficulty of string theory lies in its complexity, which is a contradiction, since the opposite should be the case: it should be a simple theory. Perhaps its complexity lies in the fact that it is using traditional mathematics, and not one also based on primary archetypes.

An alternative view to string theory may be that there is no string at all, but that matter is condensed space or vibrating space.

Vibration is an archetype because it is the manifestation of opposites, of two opposite states succeeding each other in time. One can express an elementary oscillator (or abstract vibration) by the expression (x = x'), where ((x')' = x). By evaluating x, we obtain successively alternative opposites: x, x', x, x', x', x, ...


Theory of relativity

Einstein's theory of special relativity is based on an archetypal principle: the invariance of the speed of light in a vacuum, leading to the unification of space and time in the space-time entity, which can be considered an archetype.

The issue of the invariance of the speed of light collides head-on with our usual logic when considering the composition of velocities of two moving objects. However, it may have an explanation if we consider that light emerges from a deeper physical dimension, where everything is connected: the Akasha As light manifests externally, superficially, in our universe, it always appears in the same form, regardless of the speed of the observer and the speed of the light source.

According to the theory of relativity, if we could travel at the speed of light, we would observe that all space would contract and be reduced to a point, and time would disappear. That is, from the point of view of light itself, from its own frame of reference, there is neither space nor time.

Here we postulate a new principle of equivalence (or analogy), relating light and consciousness, velocities close to that of light, and interiorization into inner or deep space (the Akasha). Indeed, when we travel at these speeds, time dilates, space contracts and mass-energy increases. This is therefore analogous to a process of internalization, of going into the deep. In the limit, if we could move at the speed of light, time and space would disappear and we would have infinite energy.

Therefore, we can state as a conclusion that light is the manifestation of the Akasha That is why we cannot reach the speed of light, because the profound, the Akasha, is unattainable. If we were to reach it, we would live in no time, in no space and with infinite energy. Light is more than a metaphor for consciousness. Light connects the inner and the outer. Light is a universal archetype.

The electron can be considered as condensed light or a manifestation of light, for when an atomic electron descends to a lower orbital, it emits light.


Toward a "theory of everything" based on archetypes

Causal, mechanistic laws are part of classical physics. Today, modern physics seeks a unified theory, a "theory of everything", an absolute theory that explains the diversity of particular laws and unifies them into a universal law that connects all phenomena of nature. The archetypal paradigm is the most direct option to achieve this unification. The result would be a profound and transcendental physics. The French philosopher Jean Guitton calls it "semantic physics," a physics of the meanings hidden behind the superficial laws of physics. But to establish such a deep physics also requires a deep, archetypal mathematics.

Scientific theories must arise from the meeting or union of two poles. On the one hand, from the empirical facts, from the superficial, from where the laws that can be expressed in mathematical language arise. On the other, from the archetypes, from the deep, which although they cannot be expressed in mathematical language, their manifestations can be expressed in the form of laws or general patterns that relate the archetypes to each other.

According to Kepler, nature has not only a mathematical and rational aspect, but also a magical and symbolic aspect; that the faculty that perceives and recognizes forms is a faculty of the soul, which does not act in a discursive, rational way. He said that it was as if the Sun and the planets were integrated in an organic and living whole. He believed in the famous principle of hermeticism "As above, so below; as below, so above", the universal law or pattern that governs absolutely everything and gives unity to everything, a true universal archetype. According to Kepler, the solar system reflects the trinity (with its famous 3 laws of planetary motion) and the human mind itself.

In Mysterium Cosmographicum (The Mystery of the Cosmos, 1596), Kepler associated the Platonic solids with the structure of the solar system: each planet moved in a sphere separated from the adjoining one by a Platonic solid. With this model, he believed he had discovered the secrets of the cosmos. Later, when analyzing the astronomical data of Tycho Brahe, he banished this model by discovering that the planets moved in elliptical orbits and following his famous 3 laws.

For Pauli, the process of understanding nature is based on the correspondence or dialectical reconciliation between the internal and external worlds, and its foundation by means of archetypes. According to Pauli, Kepler not only relied on the concrete data of astronomical observation (which allowed him to infer his 3 laws), but also on the archetypal image of the solar system as a mandala.

For Pauli, physics must evolve towards a deeper, archetypal physics, and that quantum theory was an advance in that direction. That new physics would be revolutionary and more universal, beyond the boundaries of classical or conventional physics.

But a true "theory of everything" must not include only physics. It must be universal. The path of primary archetypes is the best way to achieve this because the sciences must be united through their common foundation, and that foundation is primary archetypes.


Archetypes in Linguistics

According to Chomsky, there is a universal and innate grammar in all human beings: Chomsky established the concept of generative grammar. It is based on the fact that the surface form of a sentence is inseparable from the deep structure that generated it. A set of rules describes how all possible sentences in the language are generated.

The problem with Chomsky's theory is: Here we argue that primary archetypes (universal and abstract) also manifest themselves in linguistics: For Chomsky, language reflects the mind. For Jung, symbols and myths reflect archetypes (unconscious patterns). The primary archetypes allow unifying language and the pattern of the mind.



Addenda

Origin and history of archetypes

Pythagoras founded a mystical school based on the occult truth that the very numbers we use to count are the basic bricks from which the edifice of reality is constructed.

A century and a half later, Plato argued that the world we live in is but an imperfect projection of a higher, more authentic and deeper ideal world: the world of Ideas (or Forms), which constitute the essence and foundation of all things, both concrete and abstract (such as the beautiful, the just, the great, etc.). And that our soul can have recourse to these Ideas through thought because both (Ideas and thought) possess the same essence.

Plato was the first to attempt to explain the archetypal nature of reality, but his explanation was too generic, without detailing the nature of the structure of the relationship between the ideal world and the real world.

Goethe believed that to achieve wisdom, both humanistic and scientific, one had to look for archetypal patterns. Due to Goethe's influence, the concept of archetype was on the verge of becoming a dominant principle. This concept was also present in other authors such as Schiller, Schelling, Hegel, Coleridge and Emerson. However, the concept of archetype never achieved relevance in science, although it was important at the philosophical level.

But the real driver or driving force behind archetypes was Jung. Jung recognized that his conception of archetype had its roots in the ideas of Plato, who was the great precursor: "... the archetype is nothing more than an expression that already appears in antiquity and is synonymous with Idea..." [Jung, 2005].

There are overlaps between the Platonic and Jungian approaches to archetypes: But there are differences: The term "archetype" was used by Neoplatonic philosophers such as Plotinus to designate not only the model-ideas of all that exists (in the Platonic sense), but also as something of spiritual value: an attempt to approximate the eternal ideas of the One (God). For Plotinus, the true source of reality is in the One, from which emanates the Nous (intellect) and the world of archetypes. It is what today we call "descending causality".

In theistic philosophies, archetypes are the ideas present in the mind of God, the deepest and most transcendent ideas. For St. Augustine, the archetypes are God's own thought, and the Platonic Ideas the modes by which God conceives reality.


Types of Jungian archetypes

According to Jung, there are as many archetypes as there are typical situations in life: God, the goddess, the child, birth, death, the trinity, the quaternity, the father, the great mother, the hero, the wise old man, the devil, the puer aeternus (eternal youth), the mentor, the swindler, the scarecrow, etc. But there are 5 archetypes that are the most important:
  1. The Self is the regulating center of the psyche and facilitator of individuation.

  2. The Anima is the feminine aspect of the psyche of man.

  3. The Animus is the masculine aspect of the female psyche.

  4. The Shadow corresponds to our most primitive impulses, the lower part of the personality which is not taken over by the conscious part and which, when it gains a certain autonomy, becomes an antagonist of the self.

  5. The Person ("mask") is the external attitude or superficial manifestation of the individual which corresponds on the one hand to his intentions, and on the other to the demands of the environment.

Archetypes and myths

According to Ferrater Mora (in his Dictionary of Philosophy), a myth "is an account of something fabulous that is supposed to have happened in a remote and almost always imprecise past". Its subject matter is very varied. It can be of a religious, poetic, natural, physical, psychic, heroic, etc. type. But behind the story is hidden a deep, metaphorical, essential, allegorical, symbolic, archetypal, paradigmatic meaning, a deep and universal philosophical truth, a way of seeing the world that transcends time and space. Myth integrates symbolic images or archetypal manifestations into a universal scheme or model. Myth is the foundation of the behavior and culture of peoples.

There is a close relationship between archetype and myth: To Lévi-Strauss we owe an elaborate theory of myths, expressed mainly in his series of works called "Mythologiques".


Archetypes and fractals

It has been suggested that archetypes and fractal structures could be synonymous, as fractals have a very close relationship with consciousness, as they link the internal and the external, and are self-referential, as they manifest the same pattern at all levels, which is the fractal image itself.

Fractal geometry is the one that describes chaotic systems, systems of nonlinear dynamics that are on the border between determinism and nondeterminism. They are deterministic systems, but being highly sensitive to initial conditions, their behavior is very difficult to predict and appears to be chaotic.

It has been suggested that the so-called "strange attractors", which appear in complex chaotic-type dynamical systems, may be archetypal patterns, since they represent behavioral constraints or limitations; they are unrepresentable and appear in very different dynamical systems. It has even been suggested that archetypes themselves may be considered strange attractors operating in the complex dynamics of the psyche.


Information is not a primary archetype

Physicist John Wheeler, in his theory "it from bit" argues that information (the bit) is a profound factor that manifests itself in the reality of physical phenomena (the it): "It is not unreasonable to think that information sits at the core of physics, as it sits at the core of a computer." According to this author: According to philosopher of mind David Chalmers, information is a natural candidate for a theory of consciousness because of its deep and fundamental character.

Information can be considered an archetype because it unites internal world and external world, but it is not a primary archetype because primary archetypes are degrees of freedom. Information is a concept close to consciousness, but it is not consciousness.


Pauli's exclusion principle, an archetype of nature

All quantum entities are described by a wave function expressed in an abstract infinite-dimensional space called "Hilbert space". Pauli discovered that the form of the wave function is governed by a dual principle: all quantum entities have one of two properties that he called "symmetry" and "antisymmetry". In this sense, quantum entities are divided into two classes:
  1. Fermions. They are the basic constituents of matter. They have an antisymmetric wave function and half-integer spin (1/2, 3/2, ...). The spin is an abstract property that can be metaphorically associated with the spin of the particle.

  2. Bosons. They are the quantum entities responsible for the forces between fermions. They have a symmetric wave function and integer spin (1, 2, ...).
The Pauli exclusion principle −discovered in 1925, and for which he received the Nobel Prize in 1945− states that fermions are governed by a principle of symmetry: no two fermions can be in the same quantum state. In contrast, bosons are governed by an antisymmetry principle: they can share the same quantum state, which allows them to be grouped into a single quantum state, as in the case of lasers, superconductors and superfluids.

In an atom, electrons must be distributed in different energy levels. Thanks to this principle: 1) the different chemical elements of the periodic table exist; 2) there is stability in matter, since molecules cannot arbitrarily approach each other, because the electrons bound to each molecule cannot be in the same state as the electrons of neighboring molecules.

In this scheme, there are two archetypes. First, the symmetry-asymmetry archetype, which manifests itself in the two types of symmetry exhibited by quantum entities. Second, there is an archetype of (non-physical) order that governs the patterns that quantum entities can form.

Pauli's view of the essential role played by symmetry in nature led him to predict (in 1930 the existence of a new particle, the neutrino, which was discovered 25 years later.


Bibliography