12 aspects of being

Anahata

(((Number,Function),(Operation,Equation)),
((Set/Logic,Analysis),(Algebra,Geometry)),
((Probability,Statistics),(Computation,Information)))

(((Money,Trade),(Finance,Economics)),
((Emotion,Relationship),(Religion,Politics)),
((Communications,Technology),(Philosophy,Science)))

(((Nucleotide,Nucleic-Acid),(Amino-Acid,Protein)),
((Muscle,Neural),(Connective,Epithelial)),
((Inner-Sense,Outer-Sense),(Inner-Action,Outer-Action)))

(((Sound,Syllable),(Word,Sentence)),
((Definition,Explanation),(Description,Conclusion)),
((Expression,Conversation),(Meeting, Conference)))

(((Note,Interval),(Measure,Theme)),
((Tempo,Rhythm),(Melody,Harmony)),
((Solo,Duet),(Chamber,Orchestra)))

(((Higgs?,?),(Dark-Matter?,Dark-Energy?)),
((Position,Momentum),(Charge,Field)),
((Matter,Planet),(Star,Black-Hole)))

I have finally come back to 12, after being stuck on 4 for a while. This time though I reckon I found the symmetry I have been after for a long time. It has the numbers 1, 2, 3, 4, 6 included in the overall symmetry, indicating that the classification is in fact a computer. 12 is a very popular number in religion and science. The lists speak for themselves.

The most important outcome is the predictive power of this classification. It places the scalar elements of the universe nicely into the 1st quartet, and predicts an unknown element besides Higgs and the already theorized dark ones. Perhaps Higgs splits into two.

The symmetry has two other less dominant representations;

1. (((,),(,)), ((,),(,)), ((,),(,))) ... 3*4
2. (((,),(,),(,)), ((,),(,),(,))) ... 2*6
3. (((,,),(,,)), ((,,),(,,))) ... 4*3

Following the commutation and association property of multiplication of naturals;

3*4 = 4*3 = 2*6 = 12

Does not seem to have the 6*2 symmetry. It is not surprising that the overall symmetry imitates the small natural numbers, since they are the simplest and purest forms. The pure symmetry of the naturals has to be broken though, to have complexity. 3*4 seems to be the dominant symmetry. I think this is based on the triplet symmetry of numbers;

(0,1,Infinity)

The 3*4 symmetry is in fact 3*2*2 = 3!!, the double factorial of 3. The double factorial has a self reference; it reiterates itself.

An interesting thing that seems to be related to this classification is the Kleiber's Law. It relates the metabolic rate of animals to their masses;

Metabolic Rate ~ m^(3/4)

It's explanation involves the self similarity and the fractal structure of the metabolism.

------------------------------------------------

EDIT 25-5-2026:

The Universe classification above is wrong. A better one is included in the later post "Universe in a box";

((((Energy,Time),(Momentum,Distance)),((Angular-Momentum,Area),(Spin,Volume))),

(((Mass,Gravity),(Electric-Charge,Electric-Field)),((Weak-Charge,Weak-Field),(Strong-Charge,Strong-Field))),

(((Higgs,Atom),(Boson,Planet)),((Lepton,Star),(Quark,Black-Hole))))

This one resonates much better with the other classifications like the musical one for example. The first musical one is Note and corresponds to (Energy,Time) in the Universal one. Since Note expresses itself as energy in time, this one is spot on.

The Fifth Element

Vajra cross

Map the four variables of the ideal gas law to the categories of the universe;

((P,V),(N,T)) --->
(((Energy,Momentum),(Time,Space)),((Mass,Charge),(Gravity,Boson)))

Where;

Charge = (Electric,Weak,Color)
Boson = (Light,Weak,Gluon)

Rearrange the categories to expose an implied symmetry;

(((Energy,Time),(Mass,Gravity)),((Momentum,Space),(Charge,Boson)))

Compare it to the categories of life;

(Tissue,Organ) =
(((Muscle,Neural),(Connective,Epithelial)),((Isense,Osense),(Iaction,Oaction)))

Where;

Organ = (Head,Body) = (Sense,Action)

Isense = Inner-sense = ((Pain,Pleasure),(Temperature,Pressure),(Rhythm,Harmony))
Osense = Outer-sense = ((Touch,Balance),(Taste,Smell),(Hear,See))

Iaction = Inner-action = ((Lungs,Kidneys),(Stomach,Penis-Vagina),(Heart,Brain))
Oaction = Outer-action = ((Arms,Legs),(Head,Torso-Tail),(Feet,Hands))

Rearrange the categories of life and compare it to the ideal gas and the universe;

((P,V),(N,T))
(((Energy,Momentum),(Time,Space)),((Mass,Charge),(Gravity,Boson)))
(((Muscle,Isense),(Neural,Osense)),((Connective,Iaction),(Epithelial,Oaction)))

Why does the ideal gas law underlie both classifications?

Perhaps because the primordial soup of life can be approximated as a gas of chemicals dissolved in water. The same argument must apply to the universe. Since Dark Matter can be considered as a quantum liquid, the fifth categories for the universe and life are implied;

(Higgs,DarkMatter)
(Biochemical,Water)

The fifth element in the case of the ideal gas must be the Boltzmann constant;

P*V = k*N*T

Thus the overall symmetry is that of the Vajra cross;

((P,V),{k},(N,T))
(((Energy,Momentum),(Time,Space)),{Higgs,DarkMatter},((Mass,Charge),(Gravity,Boson)))
(((Muscle,Isense),(Neural,Osense)),{Biochemical,Water},((Connective,Iaction),(Epithelial,Oaction)))

64 Aspects of the Universe

The ideal gas law;

P*V = k*N*T

k; Bolzmann constant.
P; Pressure
V; Volume
N; Number of particles
T; Temperature

Map the four thermodynamic variables to physical categories;

(Energy,Momentum)
(Time,Space)
(Mass,Charge)
(Gravity,Boson)

The symmetries reflect each other;

((P,V),(N,T))
(((Energy,Momentum),(Time,Space)),((Mass,Charge),(Gravity,Boson)))

The choice of the physical categories is also supported by the common (1,3) symmetry;

Momentum; (Px,Py,Pz)
Space; (x,y,z)
Charge; (Electric,Weak,Color)
Boson; (Light,Weak,Gluon)

Mass and Energy are scalars, Time and Gravity are vectors.

The eight physical categories are fully meshed; each is related to the other seven, although the indicated relationships are the strongest. Thus an 8*8 matrix is needed to contain all relationships.

Thirteen Aspects of Mathematics

My previous post "64 Aspects of Mathematics" assumed 8 elementary theories and predicted higher order theories through a non-commutative multiplication of the octet by itself.

This post is a speculation on the resemblance of the octet to the major scale of the 12 tone equally tempered music. The octet classification has some imperfections that may be addressed better in a stack of 13 (12+1).

The major scale has a modular symmetry when the octave of the root is appended (2C gives a feeling of completion);

(((C,D),(E,F)),((G,A),(B,2C)))

This symmetry can be heard easily by trained ears. The Stern-Brocot Tree easily explains this modularity. Modular Group, SL(2,C), is mentioned in many papers dealing with the music theory.

The equal tempered music is a marriage of two symmetries; the modular group and the logarithm. The cycle of fifths almost meets the octaves in 7 octaves;

((3/2)^12)/2^7 = 1.0136

This is the miracle that makes the equal temperament possible. I think this is not an accident.

The 13 tone stack is;

C,#C,D,#D,E,F,#F,G,#G,A,#A,B,2C

The mathematics octet can similarly be expanded by filling in the missing theories;

Set
-Logic
Analysis
-DifferentialG ... ?
Geometry
Algebra
-Combinatorics ... ?
Probability ... QM
-StochasticP ... QFT
Statistics ... SM
-Inference ... Td
Computation ... SR
Information ... GR

Logic for #C and so on. The most interesting part of this comparison is the relationship of the first to the last;

(Set,Information) ... (C,2C)

Obviously there is a very simple relationship between C and 2C. Is there such a thing for the Set and the Information Theories? There are some studies on this subject. A notable one is by Gregory J. Chaitin, "Gödel's Theorem and Information";

http://www.cs.auckland.ac.nz/~chaitin/georgia.html

I have come across a few studies (proofs?) of Riemann's Hypothesis via the concept of entropy. But as far as I know these are not taken to be the last word yet.

When the experiment part is compared to a classification of physics, IT corresponds to General Relativity. Perhaps this is why the Black Holes have a simple entropy equation. The Modular Group and General Relativity relationship is also all over the net.

The Thermodynamics (Td) and Special Relativity (SR) neighborhood is also interesting;

http://arxiv.org/abs/0712.3793
"On the Relationship between Thermodynamics and Special Relativity"

64 Aspects of Mathematics

This is an attempt to classify mathematics in an 8*8 matrix. Most items below can be found in the Internet, eg search for Algebraic Geometry or Geometric Algebra. The ones not found are predicted by the matrix. All 8 items are theories in themselves, eg Information Theory or Theory of Computation. When it repeats like Analysis-Analysis, it stands for Elementary Analysis. The model demonstrates the non-commutativity of mathematical classification.

The model also predicts the 3rd and higher iteration theories, like Algebra-Geometry-Analysis. Thus, while Mathematics unites, it also diverges, reminding its paradoxical nature.

1.1. LogicSet-LogicSet

1.2. Analysis-LogicSet

1.3. Algebra-LogicSet

1.4. Geometry-LogicSet

1.5. Probability-LogicSet

1.6. Statistics-LogicSet

1.7. Computation-LogicSet

1.8. Information-LogicSet

2.1. LogicSet-Analysis

2.2. Analysis-Analysis

2.3. Algebra-Analysis

2.4. Geometry-Analysis

2.5. Probability-Analysis

2.6. Statistics-Analysis

2.7. Computation-Analysis

2.8. Information-Analysis

3.1. LogicSet-Algebra

3.2. Analysis-Algebra

3.3. Algebra-Algebra

3.4. Geometry-Algebra

3.5. Probability-Algebra

3.6. Statistics-Algebra

3.7. Computation-Algebra

3.8. Information-Algebra

4.1. LogicSet-Geometry

4.2. Analysis-Geometry

4.3. Algebra-Geometry

4.4. Geometry-Geometry

4.5. Probability-Geometry

4.6. Statistics-Geometry

4.7. Computation-Geometry

4.8. Information-Geometry

5.1. LogicSet-Probability

5.2. Analysis-Probability

5.3. Algebra-Probability

5.4. Geometry-Probability

5.5. Probability-Probability

5.6. Statistics-Probability

5.7. Computation-Probability

5.8. Information-Probability

6.1. LogicSet-Statistics

6.2. Analysis-Statistics

6.3. Algebra-Statistics

6.4. Geometry-Statistics

6.5. Probability-Statistics

6.6. Statistics-Statistics

6.7. Computation-Statistics

6.8. Information-Statistics

7.1. LogicSet-Computation

7.2. Analysis-Computation

7.3. Algebra-Computation

7.4. Geometry-Computation

7.5. Probability-Computation

7.6. Statistics-Computation

7.7. Computation-Computation

7.8. Information-Computation

8.1. LogicSet-Information

8.2. Analysis-Information

8.3. Algebra-Information

8.4. Geometry-Information

8.5. Probability-Information

8.6. Statistics-Information

8.7. Computation-Information

8.8. Information-Information

Eight aspects of mathematics

Mathematics can be classified in 4 dualities;

Logic/Set-Theory, Analysis

Algebra, Geometry

Probability, Statistics

Computation, Information

Logic and Set Theory are considered to be the foundations. Information stands for Information Theory. Computation is not the computer science, it is the theory of computation.

The symmetry is modular like that of the major scale;

( ((c,d),(e,f)), ((g,a),(b,2c)) )

This symmetry also applies to my previous post, Eight Aspects of Economy.

Curiously enough, the second quartet of the universe classification is missing;

Frame, Celestial

Quantum, Material

As I suggested in a previous post, the 2nd quartet must be the 4 levels of a multiverse theory;

Level-1, Level-2

Level-3, Level-4

The endpoints of the major scale is an octave apart, (c,2c), when completed with 2c. I wonder of there is such a thing in the mathematics and the universe categories.

Eight aspects of economy

Economy is determined by the methods of production and consumption. It determines the other aspects of societies, as much as it is determined by them. The simplest form of economy is gathering and hunting, and it seems to form a duality;

(Gathering,Hunting)

since hunter gathers the gatherer. Grazers, which are essentially gatherers, are usually accompanied by hunters. Although hunters can not exist without grazers, grazers are in turn shaped by hunters.

A similar duality exists for the next stage of economy;

(Farming,Industrial)

Farming is a tool intensive occupation, more than that of gathering and hunting. Industrial production is a step ahead of farming in that, it is a machine intensive occupation. Machines are tools of tools; they bring together many tools and operate them according to flowcharts. This is also reflected in their utilization in production lines.

The next natural stage of economy is also a duality;

(Information,Intelligence)

We have recently entered the information economy. As it matures, it paves the way for its partner; artificial intelligence. AI systems are already here and evolving with the intensive use of the systems of information.

What is the next stage, if there will be such a thing? Intelligence is strongly linked to psychology, which is the foundation of our spirituality. By implication, there seems to be another duality as the last stage of the evolution of economy;

(Spiritual,Artistic)

In fact all four dualities already exist in many forms, but only one is dominant at any time. Currently we are transiting from the industrial to the information economy. One can only wonder what kind goodies will evolve after the AI economy matures and paves the way to the next stage.

Sound and spectrum of prime/log(prime)

Self similarity of z/log(z)

I made the following pics by temporally iterating 3 spatial iterations;

z/log(z)
(z/log(z)) / log(z/log(z))
[(z/log(z)) / log(z/log(z))] / log[(z/log(z)) / log(z/log(z))]

The temporal iteration number is 170. Bailout is 40. The 4th pic is a close-up of the 3rd. They came about after a Google group discussion.

The 3 pictures similarity is amazing I thought. Just like the temporal iteration increasing resolution, the spatial iteration seems to do the same. I think there is a strong link here to the prime numbers, whose distribution is known to be self similar. Apart from the known fact that the primes are semi uniformly distributed in x/log(x), they seem to obey the H-fractal in their further patterns.

Another very interesting point here is that the both temporal and spatial iterations limit to 'e' at the outer region of the shape;

...(z/log(z)) / log(z/log(z))... -> e

demonstrating the binary structure of 'e'.

The tip of the last amplified to the limit of my pc. Note the slight angle. Numbers seem to prefer a side, as far as this function is concerned. This may be due to the accumulation of errors. If not, then this is also very interesting.

The semi-stable points. What is the link to the zeros of the Riemann's Zeta function?

Complementarity of life and universe

The Universe has 12 aspects arranged in measure 4/3;

(((Gravity/Dark-Energy,Higgs,Time-Space),(Boson,Lepton,Quark)),
((Gas,Liquid,Solid),(Planet,Star,Black-Hole)))

Life has 12 aspects arranged in complementary measure 3/4;

(((Amino-acid,Protein),(Nucleotide,Nucleic-acid)),
((Connective,Epithelial),(Muscle,Neural)),
((Inner-action,Outer-action),(Inner-sense,Outer-sense)))

The outer shape of the Universe has four-fold symmetry;

((Quantum-gravity,Quantum-mechanics),(Statistical-mechanics,General-Relativity))
((GHT,BLQ),(GLS,PSB))

The outer shape of life has three-fold symmetry;

(Biochemical,Tissue,Organ)

,,,

Previously I included Plasma to GLS, and Gas-Dust-Meteor-Comet to PSB triplets to make them quartets. But later I realized that the GLS triplet already stands for the lower level matter. Similarly I excluded Higgs from the particle triplet BLQ and made a new triplet GHT, including Dark-Energy.

The (GHT,BLQ) duality compares to the 12 senses quite well;

(GHT,BLQ) => (Inner-sense,Outer-sense) =

(((Pain,Pleasure),(Temperature,Pressure),(Rhythm,Harmony)),
((Touch,Balance),(Taste,Smell),(Hear,See)))

They can be compared in many ways since the senses and fields are modular and self similar. The following correspondences are noteworthy;

Time-Space ... (Rhythm,Harmony) ... (Hear,See)
Higgs ... (Temperature,Pressure)
Gravity/DE ... (Pain,Pleasure) ... (Touch,Balance)

Similarly the (GLS,PSB) duality compares to the 12 actions;

(GLS,PSB) => (Inner-action,Outer-action) =

(((Lungs,Kidneys),(Stomach,Penis-Vagina),(Heart,Brain)),
((Arms,Legs),(Head,Torso-Tail),(Feet,Hands)))

Why 3 colors?

Light has 2 degrees of freedom;

(frequency,amplitude) ---> (color,intensity)

All colors saturate to white in high intensity and to black in low, thus defining the evolutionary boundary. Color helps navigation in demanding environments like tree tops and expands in the gray middle range as it evolves. It works as an indexing agent for space, therefore there are 3 colors.

If fast navigation in a 3D environment is an evolutionary selection factor for the species, then they would die off if there were no possibility of extending the gray vision. But this possibility exists since there are 2 degrees of freedom of light.

The vision of 3 primary colors creates a 3D color matrix of the observed scene and maps it to the gray vision of intensity. This creates a 3D addressing mechanism and defines an improved indexing and addressing of the field. Senses are defined by their dedicated organs, like hardware peripherals of computers. Dedicated organs are needed for faster detection.

Gray on/near gray is still gray, but two different colors with the same grayness (intensity) stand out when near each other, and produce a different color when overlap due to two eyes. This improves the stereographic vision. Otherwise you need to swing your head side to side to improve the depth of the field. This is well observed in many animals, and it is a security risk and a time waster.

"Why do dogs have none?"

Assuming that the dogs have no color vision, it would be because they do not need to navigate in a 3D environment.

"Why do some humans with eyes just like yours, still not see any color
or only 2."

All genetic traits have a statistical distribution. Most humans have good color vision.

...

PS; The above is an extract from an exchange at sci.philosophy;

http://groups.google.com.au/group/alt.philosophy/browse_frm/thread/ccddf056eaf7e793?hl=en#

The song of being in measure 4/3

1. (Biochemical,Tissue,Organ)
2. (Populational,Relational,Philosophical)
3. (Quantal,Matter,Celestial)
4. (Multiverse,Omniverse,Divinity?)

The measure 4/3 inverts to 3/4 as it branches further;

1.1. ((Amino-acid,Protein),(Nucleotide,Nucleic-acid))
1.2. ((Connective,Epithelial),(Muscle,Neural))
1.3. ((Inner-action,Outer-action),(Inner-sense,Outer-sense))

2.1. ((Individual,Family),(Tribe,Species))
2.2. ((Interaction,Economics),(Technology,Communications))
2.3. ((Politics,Ethics),(Sciences,Philosophy))

3.1. ((Higgs,Boson),(Lepton,Quark))
3.2. ((Plasma,Gas),(Liquid,Solid))
3.3. ((Gas-Dust-Meteor-Comet,Planet-Moon),(Star,Black-Hole))

The rest is the arena of speculation, but there is enough of it to qualify for a pretty serious MIT paper about the Multiverse. The symmetry suggests further 2 categories. One of them already has a name; Omniverse. About the other, I have no idea. Divinity?

4.1. ((Level-1,Level-2),(Level-3,Level-4)) ... (*)
4.2. ?
4.3. ?

(*) http://space.mit.edu/home/tegmark/multiverse.pdf

Some of the details of the further branching are in my previous posts. There is enough evidence to suggest that the 3rd level belongs to the numbers 3, 6 and 12 for the detailing. The categories add upto 48 at the second level, reminding Bach's 48 preludes and fugues and plenty of references from the ancient cultures. The prelude that I love most, that of BWV-998, has the measure 4/3. My second favorite, BWV-999, has the measure 3/4. Both lute preludes. There you go.

Duet of life and universe in measure 3/4

This is an update to my previous post "The eightfold way of existence". I expanded the biology and universe sections and excluded the sections on culture, language, music and mathematics.

There are 4 biochemicals, 4 tissue and 4 organ types in biology;

(((Amino-acid,Protein),(Nucleotide,Nucleic-acid)),
((Connective,Epithelial),(Muscle,Neural)),
((Inner-action,Outer-action),(Inner-sense,Outer-sense)))

The symmetry of each quartet is like the modular group. I have excluded the chemicals like carbohydrates, lipids and ions from the biochemicals. Although there is not a clear cut boundary between the ordinary chemicals and biochemicals, these clearly define a good quartet. Like nucleotides are parts of nucleic acids, amino acids are parts of proteins, and both nucleotides and amino acids also have other functions. There are 12 amino acids. There are 4 groups and 12 types of Connective tissue;

(Loose,Dense,Cartilage,Other) =
((Areolar,Adipose,Reticular),(Regular,Irregular,Elastic),
(Hyaline,Fibrocartilage,Elastic),(Bone,Blood,Lymphatics))

There are 6 inner and 6 outer senses;

(((Pain,Pleasure),(Temperature,Pressure),(Rhythm,Harmony)),
((Touch,Balance),(See,Hear),(Taste,Smell)))

Senses have organs inside and outside the brain. The inner senses are more distributed over the body for their outer organs, yet more centralised in the brain. They make up the core of the brain. There are 6 inner and 6 outer organ groups of the body;

(((Feeding,Reproductive),(Lungs,Kidneys),(Heart,Brain)),
((Hands,Feet),(Arms,Legs),(Torso-Tail,Head)))

The Head reflects the torso in the organ symmetry.

,,,

Universe obeys the same symmetry;

(((Higgs,Boson),(Lepton,Quark)),
((Plasma,Gas),(Liquid,Solid)),
((Gas-Dust-Meteor-Comet,Planet-Moon),(Star,Black-Hole)))

The boson-fermion quartet match the 4 biochemical groups. The 4 phases of matter match the 4 tissue types of biology. Like the organs of an organism, the astronomical objects are places of transformation. An accumulation of rocks in space become spherical under Gravity after a critical mass. Therefore Planet and Moon represent a phase change from low level space debris. Similarly there is a phase change from Star to Black-Hole.

There are 6 leptons and 6 quarks;

(((Electron,E-Neutrino),(Muon,M-Neutrino),(Tau,T-Neutrino)),
((Up,Down),(Strange,Charm),(Bottom,Top)))

They also have their anti-particles. There are 3 known Bosons;

(Light,Weak,Strong)

The remaining categories (Time,Gravity,Space) must be due to Higgs which is theorised to weigh mass. They seem to match the Boson triplet;

((Time,Gravity,Space),(Light,Weak,Strong))

It can also be written in 3 dualities to expose the partner symmetry;

((Time,Light),(Gravity,Weak),(Space,Strong)))

Time is defined by Light. Space has the triplet symmetry like Strong. The implied (Gravity,Weak) duality is interesting, since the energy released by fission is in fact a transformation of mass to light. Maybe Weak holds the key to Gravity.

...

The symmetry match between life and universe demonstrates the modularity and self similarity of the universe. It may even show the inseparability of consciousness and matter, since life evolves from the depths of matter and there is no clear boundary between them. All life forms have their own cultures with a matching spectrum to human's, like language, music, tool using and so on, however dilute. Their elements add up to 12+12 = 24, a magic number. The duet they have been singing is still being created and its measure is 3/4, a very popular measure in human music.

The eightfold way of existence

A Tantric Yantra.

















There are 4 tissue and 4 organ types in biology;

(((Connective,Epithelial),(Muscle,Neural)),
((Inner-sense,Outer-sense),(Inner-action,Outer-action)))

The symmetry is like the modular group. There are 4 groups and 12 types of Connective tissue;

(Loose,Dense,Cartilage,Other) =
((Areolar,Adipose,Reticular),(Regular,Irregular,Elastic),
(Hyaline,Fibrocartilage,Elastic),(Bone,Blood,Lymphatics))

There are 6 inner and 6 outer senses;

(((Pain,Pleasure),(Temperature,Pressure),(Rhythm,Harmony)),
((Touch,Balance),(See,Hear),(Taste,Smell)))

Senses have organs inside and outside the brain. The inner senses are more distributed over the body for their outer organs, yet more centralised in the brain. They make up the core of the brain. There are 6 inner and 6 outer organ groups of the body;

(((Stomach-Liver,Vagina-Penis),(Lungs,Kidneys),(Heart,Brain)),
((Hands,Feet),(Arms,Legs),(Torso-Tail,Head)))

The Head reflects the torso in the organ symmetry. Tissue types also differentiate into their own trees.

,,,

It seems each sense and action repeat the outer 6/8 pattern to expand their own category trees. For example See has eightfold outer symmetry;

(((Left,Right),(Inner-Eye,Eye)),
((Open-Close,Rotate),(Focus,AntiFocus)))

There are in fact 4 eyes; 2 inner, 2 outer. The inner eyes are expert systems to decode and interpret the signal from the outer eyes. They can also operate semi-independently such as visualising. The retina of the eye has triplet symmetry.

...

Culture obeys the same symmetry;

(((Interaction,Economics),(Logistics,Communications)),
((Politics,Ethics),(Sciences,Philosophy)))

There are 12 types of Interaction;

(((Chaos,Order),(Predation,Union),(Competition,Cooperation)),
((Feeding,Reproduction),(Maintenance,Extermination),(Production,Consumption)))

Interactions can also be listed in 4 groups of 3, exposing the conjugate symmetry;

(((Chaos,Predation,Competition),(Order,Union,Cooperation)),
((Feeding,Maintenance,Production),(Reproduction,Extermination,Consumption)))

There are 6 Sciences;

((Mathematics,Physics),(Chemistry,Biology),(Psychology,Intelligence))

...

Language;

(((Sound,Syllable),(Word,Sentence)),
((Conjunctive,Conditional),(Adjective-Noun,Adverb-Verb)))

...

Music;

(((Note,Interval),(Measure,Theme)),
((Tempo,Rhythm),(Melody,Harmony)))

There are 12 Notes in equal tempered music.

...

Mathematics;

(((Number,Operation),(Function,Equation)),
((Logic/Set-Theory,Analysis),(Algebra,Geometry)))

...

Universe;

(((Higgs,Boson),(Lepton,Quark)),
((Gas-Dust-Meteor-Comet,Planet-Moon),(Star,Black-Hole)))

Like the organs of an organism, the astronomical objects are places of transformation. An accumulation of rocks in space become spherical under Gravity after a critical mass. Therefore Planet and Moon represent a phase change from low level space debris. Similarly there is a phase change from Star to Black-Hole. The phases of matter also come in a quartet;

((Plasma,Gas),(Liquid,Solid))

There are 6 leptons and 6 quarks;

(((Electron,E-Neutrino),(Muon,M-Neutrino),(Tau,T-Neutrino)),
((Up,Down),(Strange,Charm),(Bottom,Top)))

There are 3 known Bosons;

(Light,Weak,Strong)

The remaining categories (Time,Gravity,Space) must be due to Higgs which is theorised to weigh mass. They seem to match the Boson triplet;

((Time,Gravity,Space),(Light,Weak,Strong))

It can also be written in 3 dualities to expose the partner symmetry;

((Time,Light),(Gravity,Weak),(Space,Strong)))

Time is defined by Light. Space has the triplet symmetry like Strong. The implied (Gravity,Weak) duality is interesting, since the energy released by fission is in fact a transformation of mass to light. Maybe Weak holds the key to Gravity.

If compared to biology, Higgs matches the Connective tissue which differentiates into things like Blood and Bone. This makes sense since Higgs is the ultimate stem cell.

Thirteen senses and Da Vinci's The Last Supper

The senses can be classified in an ordered stack of length 13;

(Pain,(Temperature,(Rhythm,(Touch,(See,(Taste,
(Nothingness),
Smell),Hear),Balance),Harmony),Pressure),Pleasure)

Because of the complex relationships between the senses, the stack includes many symmetries.

The strongest symmetry is unity. They are all related to each other as they grow and evolve from a root sense. I call this sense Nothingness which is an identity and measurement protocol. It is the ground state of consciousness which is generally used to mean an overall sense of being.

The second strongest symmetry is duality. They all come in dualities, except the root sense. The general symmetry is of the form (Content,Container). Smell forms the background space for Taste. Without Smell, Taste weakens a lot. Similarly Hear is the background space for See. See uses more complicated but the same type of mathematics (FFT).

Are (Rhythm,Harmony) senses? Everything in the body is a clock with a special Rhythm, but Heart and Basal-Ganglia specialize on Rhythm. So it is a sense but hidden like the Balance sense. Harmony is the overall sense between and within the senses. (Rhythm,Harmony) are due to the self-referential or self-similar aspect of the senses.

The 6 strongest dualities have an overall duality that demonstrates the symmetry that simulates a four dimensional hyper space-time;

(((Pain,Pleasure),(Temperature,Pressure),(Rhythm,Harmony)),
(Nothingness),
((Touch,Balance),(See,Hear),(Taste,Smell)))

The corresponding shape is Tesseract.

There are also two dual-duality symmetries;

(((Pain,Temperature,Rhythm),(Touch,See,Taste)),
(Nothingness),
((Smell,Hear,Balance),(Harmony,Pressure,Pleasure)))

(((Pain,Temperature,Rhythm),(Harmony,Pressure,Pleasure)),
(Nothingness),
((Touch,See,Taste),(Smell,Hear,Balance)))

I think all these symmetries form around some kind of number simulation protocol. It seems to be a category calculator with base 13.

...

Vision obeys the same symmetry;

(Bright,(White,(Rhythm,(Yellow,(Blue,(Red,(Grey),Green),Orange),Purple),Harmony),Black),Dark)

(Grey) ... Balance
(Bright,Dark) ... Brightness
(White,Black) ... Contrast
(Rhythm,Harmony) ... Texture
(Yellow,Purple) ... Color
(Blue,Orange)
(Red,Green)

...

Since Nothingness sits at the center and is neutral, many modules can attach themselves through their centers. This is demonstrated by two stacks of culture;

(Anarchy,(War,(History,(Communications,(Logistics,(Economics,
(Politics),
Ethics),Science),Aesthetics),Tradition),Peace),Dictatorship)

(Chaos,(Predation,(Adaptation,(Competition,(Production,(Reproduction,
(Interaction),
Extermination),Consumption),Cooperation),Ritual),Union),Order)

Politics and Interaction are the Nothingness of their categories, as the 10 elements of the Interaction stack are the fundamental methods of control in Politics.

...

Fields also obey the 13-symmetry, if 5 new fields are introduced;

(A1,(B1,(Time,(Light,(Weak,(Strong,(Higgs),Black-Hole),W*),Gravity),Space),B2),A2)

This time (hopefully the last time) I rearranged the locations of (Time,Space) in line with the senses (Rhythm,Harmony) locations, since there must be deeper fields that contain (Time,Space).

6 strongest dualities simulate a hyper Space-Time;

(((A1,A2),(B1,B2),(Time,Space))), (Higgs), ((Light,Gravity),(Weak,W*),(Strong,Black-Hole)))

...

Mathematics falls into two broad categories, numbers and operators;

(((Natural,Integer),(Rational,Irrational),(Real,Complex)),
(Equation)
((Probability,Statistics),(Exponential,Logarithm),(Derivative,Integral)))

They also have some sequential symmetry;

(Derivative,(Exponential,(Probability,(Real,(Natural,(Rational,
(Equation),
Irrational),Integer),Complex),Statistics),Logarithm),Integral)

Comparing gives some hints about the predicted fields;

(Derivative,Integral) --> (A1,A2)
(Exponential,Logarithm) --> (B1,B2)
(Probability,Statistics) --> (Time,Space)

(Real,Complex) --> (Gravity,Light)
(Natural,Integer) --> (W*,Weak)
(Rational,Irrational) --> (Strong,Black-Hole)

There seems to be good correspondence. Rational-Strong correspondence is good since Strong is based on the Rationals (1/3,2/3). Integer-Weak is also good since Weak has three bosons; (W-,Z,W+). Light's symmetry is Complex.

...

Da Vinci's The Last Supper has many symmetries that correlate strongly with the 13 senses.

(Nothingness) ... (Christ)

(Pain,Temperature,Rhythm) ... (Bartholomew,James,Andrew)
(Touch,See,Taste) ... (Peter,Judas,John)

(Smell,Hear,Balance) ... (James,Thomas,Philip)
(Harmony,Pressure,Pleasure) ... (Matthew,Jude,Simon)

Christ is demonstrating a triangle with the hands forming the base. The right hand is making a grabbing action on the table, while the left is open. This seems to represent the (Content,Container) duality. While this shows the duality of his self, it also points to the overall duality at the table. He wears red on the right, and blue on the left as a further illustration of this duality.

Bartholomew and Simon (Pain and Pleasure) sit at either ends of the table, thus setting the extreme boundaries. Peter leans over Judas to talk to John, indicating Touch-Taste relationship, while holding a knife pointed back towards Bartholomew indicating his nature.

Judas (See) is looking at Christ to synchronise the bread grabbing, while holding a bag of goodies, symbolising the excessive dominance of vision. Judas betrays Christ since we usually believe what we see, not what we can not see.

Thomas (Hear) leans over James (Smell) to listen to Christ. James (Smell) looks appalled, by what is happening, since he is getting a rough deal. Philip (Balance) is leaning over while standing in front of a corner.

John (Taste) looks young, feminine and tasty.

There are windows behind Christ, James and Thomas, indicating their airy character (Nothingness,Smell,Hear).

The room has few related symmetries coded. The three windows show the fundamental mediated duality symmetry. Four openings at either side show the 4-symmetry. 36 (6*6) pattern on the ceiling show the (6+1+6) symmetry of 13.

How come da Vinci knew this to so much detail? Much seem to come from the so called sacred geometry and science, but his knowledge seems so advanced.

Eleven senses

Moroccan tile.
















The senses can be classified in an ordered stack of length 11;

(Pain,(Temperature,(Touch,(See,(Taste,(Nothingness),Smell),Hear),Balance),Pressure),Pleasure)

Where the strongest symmetry is shown. Nothingness is the ground state of Consciousness. When there is nothing to sense, it senses itself. The senses are converted, by their organs, to a common electrical code before they are sent to the brain through Thalamus which is the switching organ at the center of the brain. Consciousness is centered at Thalamus it seems.

The 6 strongest dualities (Nothingness is a duality in itself) have an overall duality that demonstrates the symmetry that simulates a four dimensional hyper space-time;

(((Nothingness),(Pain,Pleasure),(Temperature,Pressure)),
((Touch,Balance),(See,Hear),(Taste,Smell)))

The corresponding shape is Tesseract.

...

Colors also obey the same symmetry;

(Bright,(White,(Yellow,(Blue,(Red,(Grey),Green),Orange),Purple),Black),Dark)

All colors saturate to White at higher Brightness, and to Black at lower. Brightness (Bright,Dark) is the enveloping element of Vision. Therefore it completes the symmetry of colors;

(Grey) ... Stability
(Bright,Dark) ... Brightness
(White,Black) ... Contrast
(Yellow,Purple) ... Color
(Blue,Orange)
(Red,Green)

...

Since Nothingness sits at the center and is neutral, many modules can attach themselves through their centers. This is demonstrated by two stacks of culture;

(Anarchy,(War,(Communications,(Logistics,(Economics,
(Politics),
Ethics),Science),Aesthetics),Peace),Dictatorship)

(Chaos,(Predation,(Competition,(Production,(Reproduction,
(Interaction),
Extermination),Consumption),Cooperation),Union),Order)

Politics and Interaction are the Nothingness of their categories, as the 10 elements of the Interaction stack are the fundamental methods of control in Politics. They compare to colors;

(Interaction) ... Stability
(Chaos,Order) ... Brightness
(Predation,Union) ... Contrast
(Competition,Cooperation) ... Color
(Production,Consumption)
(Reproduction,Extermination)

In a stable system, (Chaos,Order) and (Predation,Union) dimensions rotate vertical to the color dimensions to make 3 dimensional structures with the other 3 dimensions curled-up and finely distributed over them.

...

Fields also obey the 11-symmetry, if 3 new fields are introduced;

(Time,(XXX,(Light,(Weak,(Strong,(Higgs),Black-Hole),ZZZ),Gravity),YYY),Space)

Previously I used Dark-Energy for ZZZ which is supposed to be the dual of Weak. Now that there are 2 more fields predicted, XXX and YYY, I will use generic names. XXX and YYY seem to be like Energy and Anti-Energy. Maybe all three make up the Dark-Energy.

6 strongest dualities simulate a hyper Space-Time;

(((Higgs),(Time,Space),(XXX,YYY)), ((Light,Gravity),(Weak,ZZZ),(Strong,Black-Hole)))

Five dimensions of culture

Although not very obvious, colors have a binary tree like symmetry;

(((White,Yellow),(Blue,Red)),Grey,((Green,Orange),(Purple,Black)))

Yellow is somewhat closest to White. If the primary colors had perfect symmetry, they should all have equal distance to White. This is a clue to how color vision evolves in a binary tree of depth 3; 2^3=8. At the third level, some of the binary symmetry is broken to get the triplet symmetry;

(White,(Yellow,Blue,Red),Grey,(Green,Orange,Purple),Black)

The (White,Grey,Black) triplet rotates vertical to others to make the intensity or scalar dimension. I think the primary reason for this is that knots (therefore stable structures) can only be made in 3 dimensions. Chaos can happen in 3 (or more?) dimensions, but this must be related to the knot restriction.

The strongest symmetry determines the 4 color dimensions;

(White,(Yellow,(Blue,(Red,(Grey),Green),Orange),Purple),Black)

(White,Black)
(Yellow,Purple)
(Blue,Orange)
(Red,Green)

...

Culture can be classified in two stacks, and they also display the color symmetry;

(((War,Communications),(Logistics,Economics)),
Politics,
((Ethics,Science),(Aesthetics,Peace)))

(((Predation,Competition),(Production,Reproduction)),
Interaction,
((Extermination,Consumption),(Cooperation,Union)))

There are 4 obvious dimensions of culture;

(War,Peace)
(Communications,Aesthetics)
(Logistics,Science)
(Economics,Ethics)

and 4 dimensions of drivers;

(Predation,Union)
(Competition,Cooperation)
(Production,Consumption)
(Reproduction,Extermination)

The fifth dimension comes from the mediation between the Politics and Interaction (Quality and Quantity) stacks. It seems the mediating element is Government, reminding the (Memory,Consciousness,Intelligence) triplet of life. Other elements of the Politics stack also come in stack form, producing a self similar fractal. Therefore the fifth dimension is self reference.

Similarly colors also have Quantity control elements like Contrast and Brightness, but I am still thinking about them.

...

The fields can be classified in a similar stack;

(((Time,Light),(Weak,Strong)),Higgs,((Black-Hole,Dark-Energy),(Gravity,Space)))

With a different order than my previous posts. This time I put Space-Time at the outer edge, and Higgs in the middle. Higgs has to be the mediating agent since it is a scalar field. It has 4 dimensions;

(Time,Space)
(Light,Gravity)
(Weak,Dark-Energy)
(Strong,Black-Hole)

They compare well with the drivers of culture. I am still thinking about the self referential aspect of the universe. It also seems to be a stack fractal that opens up like origami.

...

Senses obey the same symmetry if Time, Space and Intensity are considered as senses;

(((Time,Touch),(See,Taste)),Intensity,((Smell,Hear),(Balance,Space)))

Senses of Space/Time are really always there, in sleep or not, but taken for granted. My cat knows almost the exact time to wake me up. The regulation of sleep, which is one of the most fundamental functions of the body, implies an intimate knowledge of time. The heart and Basal Ganglia are central to organ coordination in the body and the head.

The sense of Intensity is also taken for granted. All senses come with Intensity.

Balance is a sense since it has dedicated organs coupled to the ears.

...

There are 14 real number axioms;

Addition axioms;

x+0 = x, zero element, stability
x+y = 0, negation, balance
x+y = y+x, commutativity
(x+y)+z = x+(y+z), associativity

Multiplication axioms;

1*x = x, unit element, stability
x*y = 1, inversion, balance
x*y = y*x, commutativity
(x*y)*z = x*(y*z), associativity

x*(y+z) = x*y + x*z, distributivity

Order axioms;

If x =< y, then x + z =< y + z, stability
If 0 =< x, 0 =< y, then 0 =< x*y, balance
If x =< y, y =< x, then x = y, commutativity
If x =< y, y =< z, then x =< z, associativity

And the Least Upper Bound axiom.

There are 4 obvious dimensions;

((stability,balance),(commutativity,associativity))

and they also compare well to the drivers of culture. The fifth dimension seems to be the mediation between the (Addition,Order,Multiplication) triplet. Distributivity sticks out of the model at the moment.

Modularity and self reference in life, universe and music

Koch's Star eigenvalues















Consider the following septet of septets in ordered stacks;

a. (Tail,Feet,Legs,Torso,Arms,Hands,Head)
b. (Lungs,Stomach,Vagina,Heart,Penis,Liver,Kidneys)

c. (Body,Eyes,Mouth,Brain,Nose,Ears,Balance-rings)
d. (Spine,Occipital,Cerebellum,Basal-Ganglia,Fore-brain,Temporal,Parietal)

e. (Touch,See,Taste,Sense,Smell,Hear,Balance)
f. (Observe,Move,Feed,Communicate,Feel,Think,Judge)

X. (e,c,a,x,b,d,f)

The septets have dual modularity combining the symmetries of numbers 2 and 3, each mediated by the center;

((e,c,a),x,(b,d,f))
(e,(c,(a,(x),b),d),f)

Defining 3 dimensions in the shape of hexagon, when represented in 2 dimensions. The symmetry of colors and sound harmony. All elements of the septets could be further expanded into sub-septets giving a self reference of depth one, although it may not look too obvious for some of them. Legs-Feet and Arms-Hands display this symmetry more obviously than others. For example the finger-like structures of the eyes and ears are not very obvious, let alone the heart, but I think it can be done.

Organs of the torso come in mediated dualities. As such, Stomach should be considered together with it's (Mouth,Anus) duality. Similarly for Vagina and Penis; Ovaries and Testicles.

The central rhythmic role of Basal-Ganglia is well known. Compared with the other mediators, it fits well. Maybe it should be considered together with Thalamus which has the central switching role connecting the cortex to it's field of senses. Kidney-Lung connection is mentioned in the net and seems reasonable. Stomach-Liver connection is pretty clear. They should be considered with their counterparts; Intestines and Pancreas.

(e,f) are software, (c,d) are middleware, and (a,b) are hardware, if compared to computers. Each sense is first transformed and then transmitted to the brain by specialized connections. 'x' mediates all 6 mediators and I can't quite figure out what it is at the moment.

...

The following quartet is for the universe;

(Gas-Dust,Meteor-Comet,Moon,Planet,Star,Black-Hole-Galaxy,Universe)
(Atmosphere,Sea,Crust,Core,Rotation,Spin,Magnetic-Shield)

(Higgs,Light,Weak,Strong,Space-Time,Gravity,Dark-Energy)
(Yellow,Blue,Red,Grey,Green,Orange,Purple)

Where Strong is expanded into it's color charges. Green is for anti-Red and so on. Strong mediates all forces, being the strongest. Space-Time is taken as a field like others and couples to Weak. I think this is reasonable. The second law and time's directionality weaken towards smaller scale.

Gravity-Light coupling is obvious because of the equivalence principle. In fact each duality could stand for it's own principle of equivalence. This remains to be proven. The other dualities may have some hysteresis, unlike Light-Gravity, but it may also have some form of hysteresis under some conditions. This reasoning assumes that each duality come with some kind of balance, like that of supply-demand of economics.

If the life classification is considered, three septets corresponding to 'software' and coordination functions are missing. My guess is that they are related to the Dark Energy. In life, intelligence and awareness weighs the most in some respect, when the success of humans is considered. Not to say that DE is self aware but it is very important in cosmology, as it has the most of the universe's mass, yet it is hidden like Higgs.

...

Music also comes with septets;

(Beat,Tempo,Meter,Rhythm,Pitch,Melody,Harmony)
(Quiet,Slow,Bass,Swing,Treble,Fast,Loud)

(D,F,A,C,E,G,B)

The harmonic space of music expands around the strong notes (C,E,G,B) and their dual counterparts (C,A,F,D). A is backward 3rd, F is backward 5th, and D is backward 7th. C mediates 3 dualities;

(D,(F,(A,(C),E),G),B)

giving 3 dimensions. I am still thinking about it's dual.

Four dimensions of culture

Consider the following classification of culture in two stacks of length 7;

(Interaction,Logistics,Economics,Politics,Ethics,Science,Aesthetics)
(Competition,Production,Reproduction,Politics,Extermination,Consumption,Cooperation)

Politics sits in the middle and mediates 12 elements in two stacks which make a duality. The stacks follow an increasing order of complexity and have 3 symmetries;

(0,(1,(2,(3,(4,(5,(6)))))))
(0,(1,(2,(3),4),5),6)
((0,1,2),3,(4,5,6))

Like the color symmetry;

(Yellow,Red,Blue,Grey,Orange,Green,Purple)

The dualities (Yellow,Purple), (Red,Green), (Blue,Orange) complement each other and combine to give Grey, as the triplets themselves.

The triplet (Interaction,Logistics,Economics) are the primary colors of culture, and (Ethics,Science,Aesthetics) the secondary colors.

...

The softer side of culture have 3 dualities and a singularity;

(Interaction,Aesthetics)
(Logistics,Science)
(Economics,Ethics)
(Politics)

Previously I had Production instead of Interaction which is a better choice as it is the simplest form of collective action. The universe displays beauty at all levels of action, specially life. This is a profound mystery.

Logistics includes things like Communications, Transportation and couples to Science strongly.

Ethics includes things like Law, Religion, Tradition and couples to Economics strongly since Economics is the way of distribution of resources.

The drivers of culture have 3 dualities and a singularity;

(Competition,Cooperation)
(Production,Consumption)
(Reproduction,Extermination)
(Politics)

...

Music has a similar form;

(Beat,Tempo,Meter,Rhythm,Pitch,Melody,Harmony)
(Quiet,Slow,Bass,Rhythm,Treble,Fast,Loud)

The drivers make 3 dualities and a singularity;

(Bass,Treble)
(Slow,Fast)
(Quiet,Loud)
(Rhythm)

The world of vision also has 4 drivers;

(Contrast,Brightness,On/Off,Color)

The (Competition,Cooperation) duality is like Contrast. Competition makes boundaries sharper. (Production,Consumption) is like Brightness. (Reproduction,Extermination) is like On/Off.

...

Geert Hofstede identified 4 dimensions of culture;

Power-Distance
Collectivism-Individualism
Femininity-Masculinity
Uncertainty avoidance

I think there is some similarity.

...

Buddha identified 4 noble truths;

The nature of suffering
The origin of suffering
Cessation of suffering
The way leading to cessation of suffering

I think it matches my list quite a bit;

(Competition,Cooperation)
(Production,Consumption)
(Reproduction,Extermination)
(Politics)

...

There many other entities that obey this 7-stack form;

(Touch,See,Taste,Measure,Smell,Hear,Balance)
(Higgs,Light,Weak,Strong,Space-Time,Gravity,Dark-Energy)
(Mathematics,Physics,Chemistry,Biology,Psychology,Intelligence,Aesthetics)
(Binary,Natural,Integer,Real,Complex,Quaternion,Octonion)
(Beat,Tempo,Meter,Rhythm,Pitch,Melody,Harmony)
(Space,Character,Word,Sentence,Paragraph,Chapter,Book)

Clearly the corresponding shape is hexagon, or the ancient Atman Yantra or David's Star.

Each duality make a dimension mediated by the center, giving 3 dimensions.

Why hexagon and why 3 dimensions? There are some clues. Complex numbers are closed and they define a plane. Plane and a hexagon are closely linked since hexagon can be drawn by a compass only. Knots can only be made in 3 dimensions. Chaos can happen only in 3 (and higher?) dimensions. And what else is there to imitate apart from the strongest symmetry of the universe; space-time.

...

Four dimensionality comes from the fractal and self-similar shape of the stack. Like Politics, the other elements also come in the same shape, for example Science.

The shape of being

The ancient and mysterious flower of life (taken
from Wikipedia).

In the end, I ended up with this monster as the
symmetry of being. I have found that all
autonomous and living entities obey this
symmetry, though not yet filled out all categories.
It refers to itself to one level, ie each constituting
point reflects the overall shape to one iteration. It
is David's Star fractal. I think somehow it opens
up like origami to produce more complicated
shapes. Note that it already has cube look.







The ancient and mysterious Surya Yantra
(taken from Wikipedia).

Surya means "the supreme light" and regarded to
be the visible form of God. It can easily be
extracted from the flower of life.













An aspect of E8.

E8 is the name of the symmetry that Garrett Lisi
lately suggested to be the symmetry of the
universe.











There are 5 obvious senses of life;

(See,Taste,Touch,Smell,Hear)

While Touch is singular, (See,Hear) and (Taste,Smell) come in dualities. Touch is a generic sense and it's main organ is the skin. The remaining 4 senses can also be considered as specialized types of touch. After all, according to Quantum Mechanics, everything is a scattering event. Skin is made of a type of nerve cell, like the organs of the other senses.

After singularity, duality is the most common aspect of life. They tend to evolve from a common ancestor, like (black,grey,white). Taste and Smell differentiated with the separation of the corresponding organs mouth and nose, due to the separation of breathing and eating. I suspect a corresponding separation of anus from genitals.

Similarly See and Hear couple to each other, although this is not as obvious as (Taste,Smell). The underlying mathematics of See and Hear are the same, See being a more involved version of Hear. This can easily be seen when they are compared to the mathematics of Video and Audio.

I think both (See,Hear) and (Taste,Smell) separations evolve in parallel. They constitute the 4 pillars of senses, like the 4 pillars of the body; arms and legs. There seems to be a link here to the bifurcation concept of the Logistic Map and Mandelbrot Set. Bifurcation happens when two opposing trends, like demand and supply of economics, come together in one event that feeds back to itself. There is also a link to the complex numbers; {+1,-1,0,+i,-i}, when the cartesian representation is considered.

When the hidden senses Measure and Balance are also included, there are 7 senses;

(Measure,See,Taste,Touch,Smell,Hear,Balance)

The organ of Measure is the entire body, while the organ of Balance is hidden in the middle ear, in the form of 3 interlocked liquid filled hairy rings. Clearly they also couple to each other to make a duality; (Measure,Balance).

...

There are 4 observed fields of the universe;

(Light,Weak,Strong,Gravity)

Light, Weak and Strong are closely related to each other. Their symmetries reflect this; U(1), SU(2) and SU(3). Basically U(1) is about the transformations one complex variable, SU(2) two complex variables, and SU(3) three complex variables. The Standard Model relates them to each other; U(1)*SU(2)*SU(3). I don't know if SU(3) is understood as much as the other two, but SM is a very successful theory. Gravity has General Relativity, but it is a classical theory, and a quantum theory of gravity does not exist yet.

Light couples to Gravity. The kinetic and potential energy duality comes from this. Gravity makes the stage for Light to operate in. What does Weak couple to? The symmetry of Weak is related to the symmetry of Space-Time. I think it is the symmetry of Quaternions and SL(2,C). Lets consider ST as a field and add it to the list;

(Light,Weak,Strong,Space-Time,Gravity)

Lets compare with senses;

(See,Taste,Touch,Smell,Hear)

Like the Touch sense, Strong sits in the middle. The symmetry of Strong is 3/2. There are 3 quarks and 3 gluons in a nucleon. There are 3 dimensions of a vertebrate body; 2 arms, 2 legs, and torso with head and tail. Strong is the strongest field, and Touch is the strongest sense.

Hear-Gravity correspondence is interesting, considering the Balance-Hear coupling. Like Gravity providing the stage for Light, audio provides the background mood to video in movies.

The symmetry of equal tempered music is also 3/2. When the perfect fifth (3/2 of the root) is taken 12 times it covers 7 octaves.

Could there be also 7 fields? When Higgs and Dark energy are also added;

(Higgs,Light,Weak,Strong,Space-Time,Gravity,Dark-Energy)

Compare with 7 senses;

(Measure,See,Taste,Touch,Smell,Hear,Balance)

Like (Measure,Balance), (Higgs,Dark-Energy) are also hidden.

Higgs has been predicted but not observed yet. Effects of Dark energy are observed but it is not even predicted properly by a theory yet. Hopefully LHC will shed some light on these fields. This model predicts that Higgs and DE make a duality.

When numbered 0 to 6, the list makes more sense, considering the corresponding symmetries;

(0.Higgs,1.Light,2.Weak,3.Strong,4.Space-Time,5.Gravity,6.Dark-Energy)

...

There are 7 fundamental sciences;

(Mathematics,Physics,Chemistry,Biology,Psychology,Intelligence,Aesthetics)

Biology sits in the middle. Chemistry couples to Psychology, since Psychology uses hormones. Physics couples to Intelligence, as Intelligence uses Light symmetry. Aesthetics couples to Mathematics.

...

Physically significant numbers seem to fit in a 7 stack as well;

(Boolean,Natural,Integer,Real,Complex,Quaternion,Octonion)

Like the fields, numbers make 3 inner and 3 outer layers. Real sits in the middle, (Boolean,Natural,Integer) make the inner, and (Complex,Quaternion,Octonion) make the outer or hyper layers. Like Strong sits in the middle, (Higgs,Light,Weak) make inner structures, and (ST,Gravity,DE) make the outer or hyper structures of reality.

Garrett Lisi lately proposed that E8 is the shape of the universe. Octonions are closely related and 2^6 = 8^2.

...

Music has 7 basic elements;

(Loudness,Tempo,Meter,Rhythm,Pitch,Melody,Harmony)

Rhythm sits in the middle and mediates, as can be observed easily from the practice of music. Rhythm evolves into Pitch since Pitch has color unlike a mono-color signal. When a signal with complex Pitch observed on the oscilloscope, it looks like Rhythm with many peaks of varying amplitude. The list evolves from simple to complex. We get Harmony only when melodies interact. Vertical harmony is in fact Pitch. Therefore Harmony is the highest form in Music, like counterpoint.

Lets compare to the number stack;

(Boolean,Natural,Integer,Real,Complex,Quaternion,Octonion)

Boolean and Loudness match since "1" is loud compared to "0". Natural and Tempo obviously match. Complex and Pitch match since Complex numbers are the natural formalism to study signals. Interesting that Octonions correspond to Harmony, considering the production of a major scale through the Stern Brocot tree at the third level, 2^3 = 8.

...

Courtship mediates 3 dualities;

(Observation,Body-language,Dance,Courtship,Music,Language,Aesthetics)

Music couples to Dance, Language couples to Body-Language to make theatre, and Aesthetics couples to Observation. (Observation,Body-Language,Dance) make the inner world of courtship, and (Music,Language,Aesthetics) make the outer. Aesthetics includes things like poetry, philosophy.

...

Books have 7 layers;

(Space,Character,Word,Sentence,Paragraph,Chapter,Book)

Sentence sits in the middle, with 3 inner layers (Space,Character,Word) and 3 outer hyper layers (Paragraph,Chapter,Book). I think Space also corresponds to things like comma, period.

...

DNA seems to have 7 layers;

(Space?,Base,Codon,Gene,Operon,Chromosome,DNA)

Gene sits in the middle and mediates, as it does the actual work. It seems to have 3 inner and 3 outer layers. This needs more work as it is a new field. I can not figure out what Space is.