ATON is a hopefully evolving classification theory. It aspires to unify knowledge around numbers and prefers naive methods. Some of the older posts are wrong but I'll keep them for the sake of continuity.

Wednesday, May 28, 2008

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.

Wednesday, May 21, 2008

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)))

Friday, May 09, 2008

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.

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