Friday, 21 March 2025
Letter to a friend. February 2024
Dear Sir,
for me to completely move away from history
I had to do my own thing .
Dear Sir,
Sekinan Research Field of Language was established at Hakuba Nagano Japan on August 23, 2003.
It is abbreviated to SRFL.
The aim of SRFL is the research for the language universals.
Quantum theory for language is especially considered.
Partially the research will be useful for the quantification of language.
By the research language will be truly close to the human being.
Sekinan Research Field of Language
www.sekinan.org
Uniformity of Language
I present <Quantum Theory for Language> to put language closer to human being.
Two aims are probably linked together in the kernel function of language.
In the theory, to carry further logic, I use several theories, principles rules and terms. In other hand I present the model of language, which is named model simplified level, abbreviated to MSL.
The theory and MSL are mutual aided. The theory needs MSL for the examination and deepening. MSL needs the theory for advance of usefulness.
The theory aims at obtaining the digitization of language function.
The digitization goes on toward the advent of automatic generating language machine, abbreviated to AGLM or more simply to LM .
The language machine is one goal of the theory. Because the machine is useful for handicapped people using natural language in their daily life.
The language in which the theory is in effect, needs natural but to be uniform.
The uniformity of language is the premise of the theory.
November 18, 2004
For reminiscence of CHINO Eiichi
and His Lecture on Linguistic Circle of Prague
Cube Theory
A
1 On cube, structure consists of room, corridor, house, passage, garden, step and zone.
2 Quantum is putted in a room.
3 Two rooms are linked by a corridor.
4 The left room puts transmission quantum. The room is called transmission room, abbreviated to TR.
5 The right room puts frame quantum. The room is called frame room, abbreviated to FR.
6 On transmission and frame, see the paper Quantum Language Frame and Transmission February 26, 2006.
7 TR and FR are linked by a corridor that passes information of two rooms.
8 Two rooms and a corridor form a house where information passes freely.
9 Two houses are putted parallel.
10 Two houses are linked by passages.
11 The left passage links two TR.
12 The right passage links two FR.
13 Two houses form a garden.
14 A garden has four rooms, two corridors and two passages. The garden is called upper garden, abbreviated to UG.
15 Another garden has also four rooms, two corridor and two passages. The garden is called lower garden, abbreviated to LG.
16 UG and LG are piled up and linked by four steps. Each steps links TR to TR and FR to FR.
17 Two gardens form a zone.
18 A zone has eight rooms, four corridors, four passages and four steps.
19 A zone is briefly called cube.
B
20 A cube has meaning.
21 Meaning consists of signal, inclusion and connection.
22 The three are mentioned at the paper Cube Theory Dimension March 22, 2006.
23 Cubes are putted side by side and lined up.
23 Now a cube appropriates a word, and lined-up cubes are appropriates a sentence of natural language.
24 On word and sentence, see the below papers.
Quantum Linguistics Growth of Word January 30, 2006
Quantum Linguistics Intension and Sentence January 20, 2006
Robot Language Sentence November 3, 2005
25 Cubes are putted one upper another and form a bigger cube. The cube is called compound cube, abbreviated CC.
26 CC makes a big word. The word is called derivative in natural language.
27 A cube itself grows up. The cube is called growing cube, abbreviated GC. Details are shown another paper.
28 See the paper Cube Theory Dimension March 22, 2006. Especially see Line number 29.
C
29 Cube model is now presented for experiment.
30 Room, corridor, passage and step are made by glass material.
31 Photon is adopted for quantum.
32 Photon-cube structure is adopted for quantum computer.
33 Logical structure in cube keeps quantum optical conditions.
Cube Theory
A
1 Quantum language sends information that is derived from natural language.
2 Information contains figure, meaning and grammar.
3 Meaning is treated at first for significant role in quantum language.
4 The notation of meaning is / /.
5 Meaning has hierarchy in quantum language.
6 Hierarchy is made of signal, inclusion and connection. Outline is referred by the paper Quantum Language Substantiality of Language February 21, 2006.
7 Signal is shown by number o and 1.
8 Inclusion is shown using set that is expressed by { }.
9 Connection is shown for derivation of meaning. Connection is expressed by +.
B
10 Hierarchy of meaning is shown by structure.
11 Hierarchy is expressed by 3 situations of quantum’s folding.
12 The most simplified meaning is expressed by one quantum that folds 3 situations, for instance, 0, { } and mark less.
13 Now / 0, { }, mark less / means number 1.
14 Number 2 is expressed by one quantum, for instance, {0}, { } and mark less.
15 The next simplified meaning is expressed by two quanta that folds double 3 situations, for instance, 0, { }, + and {0}, { }, mark less. Expression is number 12.
16 The next simplified meaning is expressed by double two quanta that folds double double 3 situations, for instance, expressed number 12 and more 12. Expression is number 1212.
17 The next meaning is expressed by double two quanta and double two quanta that folds 4 times double 3 situations, for instance, expression 12121212.
18 The double double-two-quanta is constructed from 8 quanta. The form is similar to dice. So the expression of quantum language is called cube theory.
C
19 Cube theory uses quantum as an element.
20 Now photon is used for quantum.
21 Cube theory is generally worked in Hilbert Space.
22 Cube theory is worked at from 1 dimension to infinite high dimensions.
23 Cube is formed from 3 dimensions.
24 1dimension makes dot. The upper case expresses number 1.
25 2 dimensions makes segment. The upper case expresses number 12.
26 Double 2 dimensions makes double segments. The upper case expresses number 1212.
27 Double double-2-dimensions makes cube. The upper case number 12121212.
28 Cube is measured by 3 dimensions, for instance, x, y and z axis.
29 Cube develops by time. The case has 4 dimensions, axes are x, y, z and t.
30 Developing cube shows a universe.
D
31 Distance between two quanta is defined by other papers.
32 Space where quanta are specially put is defined by other papers.
A
1 Cube word, abbreviated to CW, is expressed by matrix.
2 CW is likened to a house. The first floor is row of matrix and the ground floor is column of it.
3 CW expresses 4 dimensional universe that is developing situation of 3 dimensional universe.
4 Now cube sentence that is the succession of CW, is defined to multiplication of matrix.
5 Cube sentence, abbreviated to CS has non-commutativity by matrix.
6 CS contains uncertainty principle on the basis.
7 CS expresses quantum mechanics.
B
8 Two rooms of a house also express complex plane.
9 The first floor, abbreviated to FF, that is a pair of two rooms, expresses 2 complex planes.
10 FF is expressed by (a+bi)(c+di).
11 FF is also expressed by r(cosα+isinα)s(cosβ+isinβ)=rseiαeiβ=rsei(α+β)
C
12 CW is expressed by matrix. (a1 a2 a3 a4)(b1 b2 b3 b4)
13 When CW is matrix (x y z t) (x y z t), there comes matrix (x2 y2 z2 t2).
14 CW expresses Dirac’s function x2 +y2 +z2 +t2.
15 Dirac’s function is expressed by enlarged CW.
16 Enlarged CW, abbreviated ECW, is the third floor’s house of
17 Dirac matrix is peculiar one of the house.
18 ECW is also expressed by determinant.
19 Complex of conjugate on square matrix expresses imaginary space.
20 Complex of conjugate also expresses imaginary language that is roughly mentioned in the following papers.
Actual Language and Imaginary Language September 23, 2004
D
21 Imaginary language is connected to Fourier series.
22 Normalized orthogonal basis of ECW is expressed by fn(x)=1/√2πeinx (n=--∞, ------, +∞).
23 ECW is also connected to infinite dimensional vector space.
24 So ECW is connected to eternally developing language, namely, infinite language.
Hakuba April 1, 2006
A
1 Language has substantiality.
2 Substantiality is embodied by quantum.
3 Quantum is expressed by photon.
4 Photon is in a glass bead.
5 A bead is called room.
6 Room is worked under the conditions of quantum optics.
7 Two rooms are connected by a corridor.
8 Corridor is also made by glass.
9 Central system of language consists of frame and transmission.
10 Frame and transmission form a pair.
Refer to the paper Quantum Language Frame and Transmission February 26, 2006.
11 A pair of quanta makes the basis of structure on meaning of cube language.
12 Existence, vacancy, creation, extinction, continuation, alteration and so forth are shown by the expression of sets.
Refer to the paper Quantum Liguistics Creation of Meaning February 12, 2006.
13 Two rooms and a corridor make a pair. Another two rooms and a corridor also make a pair. Two pairs of rooms are also connected by two corridors. Four rooms and four corridors make the first floor. Another four rooms and four corridors make the ground floor. Eight rooms and eight corridors make a house. Names are altered from the paper Cube Theory Structure of Cube March 25, 2006.
B
14 A photon in a room has, for instance, 2 folded conditions, <upper 0> and <lower 1>.
15 4 photons of the first floor are 4 situations of 2 folded conditions, from <0000> to <1111>.
16 Now the first floor, abbreviated to F, is adopted for row of matrix. The ground floor, abbreviated to G, is adopted for column of matrix.
17 Inner product of F and G is expressed by matrix, from ( 0 0 0 0 ) ( 0 0 0 0 ) to ( 1 1 1 1 ) ( 1 1 1 1 ).
18 Cube expresses 4 dimensions by matrix.
19 4 dimensions are adopted for 3 dimensions-space and time dimension.
20 A cube expresses a word of cube language. The word is called cube word, abbreviated to CW.
21 Cubes connection expresses a sentence of cube language. The sentence is called cube sentence, abbreviated to CL.
22 Cube language expresses 4 dimensional developing world. The world is called cube universe, abbreviated to CU.
Hakuba April 1, 2006