Tuesday, 1 May 2018

Quantum Semantics Super Fluidity

Quantum Semantics

 Super Fluidity

TANAKA Akio


1 Here put differential manifold M that is given by torus.
2 In torus, super fluid substance, for instance 4He, is putted, the fluidity is quantumized. The substance becomes BE-condensation.
3 When BE-condensation is treated as language situation, the substance is supposed to word, and the fluidity is supposed to sentence in language. Word and sentence are both entangled conditions.
4 Word and sentence are given Aharonov-Bohm effect.
5 The fluidity, namely word and sentence, is closed curve in torus.
6 The fluidity is under Stokes’ theorem.
7 M has vector by Stokes’ theorem.
8 Now inside-torus space is called M, M is always touched to topologically discrete curved face.
Refer to the following paper.
9 M is discrete on topology.
10 The fluidity has vectorial and discrete situation in M.  
11 Supposed language has vector and discreteness.

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Quantum Semantics Fiber Bundle on Language

Quantum Semantics

 Fiber Bundle on Language

TANAKA Akio


1 Now define sentence and word.
Differentiable manifold M has space V that has transformation group G.
G contains transformation function g.
g(x) =a/b
Point x makes Vx
In upper conditions,
M is sentence.
{Vx} is word.
2 Here M is given by klein bottle.
Refer to the following papers.
M is gauge field.
M has twist when goes around.
M has vanish twist when goes around twice.
3 M is finite.
Language is finite.
M’s section is finite.
Twist is finite.
4 M breaks continuous symmetry.
M has discrete symmetry.
Twist is discrete symmetry.
5 Here M is filled with super fluid substance such as liquid helium.
In M, helium is quantumized.
Circulated quantum that is treated as element of language, is generated.
6 M’s section is vocabulary.
Vocabulary makes fiber bundle.
When vocabulary is quantumized, language becomes quantumized discreteness.
7 Vocabulary is in differential situation that is called world.
World is continuous and finite.
Language is discrete and finite.
8 Language’s minimum unit, namely root of word, is treated on quantumized substance that is in discrete, finite and probably entangled situation.
Because entangled situation is regarded as one of the most basic situation of quanta.

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Quantum Semantics Topological Tolerance For MILNOR J.W.

Quantum Semantics

 Topological Tolerance

For MILNOR J.W.

TANAKA Akio


1 Language is expressed by figure.
2 Figure is given by differential manifold.
3 Manifold is classified by topological invariant.
4 Topological invariant is expressed by Poincaré-Hoph theorem.
5 Language is expressed by homology group.
6 From what sentence is manifold, word is defined by topological invariant of homology group.
7 A topological invariant is expressed by a exponential sum.
8 Exponential sum is expressed by simple quantum’s entanglement.
9 Upper mentioned entanglement’s difference is simpler than word’s difference in language.
10 Language is concisely expressed by topological tolerance with safety in quantum computing.
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Quantum Semantics Topological Entangled Language For KITAEV Alexei Yu

Quantum Semantics

 Topological Entangled Language

For KITAEV Alexei Yu

TANAKA Akio


1 Language is expressed by figure.
Refer to the following papers.
2 Language’s information is carried by figural operation.
3 Figuration is kept by topological transformation.
4 Figure’s topological transformation is reflected in quantum’s situation.
5 Quantum’s situation is expressed into figure.
6 Word is expressed by linear entangled quanta. It is called topological entangled word, abbreviated to TEW.
7 Sentence is expressed by rectangular entangled quanta. It is called topological entangled sentence, abbreviated to TES.
8 TEW and TES, namely topological entangled language, abbreviated TEL, is rather strong for error in system for its flexibility.
9 Topological language system is effective for error correcting system of quantum computing.
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Quantum Semantics Proclamation of Quantum Semantics


Quantum Semantics

 Proclamation of Quantum Semantics

TANAKA Akio


1 Quantum Semantics expresses two conflicting expressions at the very same time.
For instance, [I am a boy] [I am not a boy]. [   ] is the notation of sentence in the recent my theories.
2 The two conflicting emerges from quantum entanglement.
3 Quantum semantics, abbreviated to QS, is described on lattices of space.
4 Infinity of lattices makes plane.
5 Plane is transformed to torus that is identification topology on topological space.
6 Lattices exist in solidity.
7 Quanta is putted on lattices.
8 Plane is theoretically located in solidity.
9 Torus is ideally transformed from plane in solidity.
10 Language of quantum semantics is topological mapping to torus.
11 The language is abbreviated to LQS.
12 LQS has metric space on the torus.
13 LQS is an open set.
14 Word of LQS is connected set in LQS.
15 Sentence of LQS is connected set in LQS.
16 Word and sentence are compact in LQS.
17 LQS is 3-dimensional manifold.
18 LQS is differential manifold.
19 LQS is a set that satisfies with neighborhood axiom.
20 Word and sentence of LQS is discrete topology.
21 Word and sentence of LQS satisfies Hausdorff’s separation axiom.
22 LQS is regular space.
23 LQS is normal space.

Tokyo May 20, 2006
Dedication to A Time of Tokyo with CHINO Eiichi
Sekinan Research Field of Language
www.sekinan.org
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Quantum Semantics Lineation Lattice Plane Pillar

Quantum Semantics

 Lineation Lattice Plane Pillar

TANAKA Akio


A
1 Linearly entangled quanta become a bar. Refer to the following paper.
2 Bars that are connected form a lineation.
3 A lineation makes another lineation by time-connectors that add time to the former bars.
4 Two lineations make the smallest lattice.
5 Lattice consists of vertical bars and connectors and horizontal time-connectors.
6 Bars carry information and time-connectors carry time.
B
7 Lineations that are horizontally connected make plane by infinity.
8 Plane is topologically transformed to pillar.
9 Time is measured by upper or lower pillar’s brim circumference.
10 Time is generally measured by same longitude at torus’ all positions diameters.
11 Time is particularly measured by different longitude that indicates pillar’s distortion.
C
13 Two bars and one vertical connector make the smallest lineation.
14 Two vertical rows of the smallest lineations make double-lineations.
15 The smallest double-lineations consist of four bars, two connectors and two time-connectors.
16 The smallest double- lineations become the smallest plane by infinity.
17 Two double-lineations make the smallest cube.
18 The smallest cube becomes pillar.
D
19 Bar and lineation are called word.
20 Lattice, plane, cube and pillar are called sentence.
21 Word has no time.
22 Sentence has time.
23 Sentence has strait time that is expressed by strait pillar.
24 Sentence also has distorted time that is expressed by distorted pillar.

Tokyo May 24, 2006
Tokyo May 28, 2006 Revised
Sekinan Research Field of Language
www.sekinan.org
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Quantum Semantics Lattice

A
1 Language is a substance that has information.　Refer to the following papers.
2 Information has structure. Refer to the following papers.
3 Structure develops with time. For instance, children know that the sun also rises next day. But some adults know that the sun also rises as the theme of Hemingway’s novel.
4 Information’s structure has extent. Refer to the following paper.
5 Extent is expressed by area.
6 Area is expressed by lattices. For the number of lattices are ideally infinite, lattices becomes plane or space. Refer to the following paper.
7 Lattice can express manifold plane and space by relatively simple description.
8 On each lattice can put quantum that has information of language.
9 Situation about lattice and quantum is shown in adequate solidity containing nearly ideal condition, for instance, entangled.
B
10 Lattice has rule.
11 Quanta on lattice combine in accordance with the rule.
12 The rule consists of the followings.
12-1 Lattice has starting position, abbreviated to LSP.
12-2 Quantum on lattice combines with upper side or right side quantum.
12-3 Upper side quantum expresses adjective phase.
12-4 Right side quantum expresses predicate phase.
C
13 Lattice becomes word. Refer to the following paper.
14 Lattice’s combination becomes sentence.
15 Language consists of LSP’s combination.
D
16 Quantum becomes word or word’s element.
17 Primitive words indicate existence, yes and no, real numbers and so forth. The way of indication is referred to the following papers.
E
18 Lattices is transformed to three dimensional solids.
19 Language that consists of word and sentence is transformed to pillar.
20 Lattice’s infinity and pillar are topological space.
21 Semantics of language is examined by topology that is now expressed to pillar.

Tokyo May 15, 2006
Tokyo May 28, 2006 Revised
Sekinan Research Field of Language
www.sekinan.org
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