Saturday, 31 March 2018

Growth

Growth



1
Frame-Quantum Theory†1 has three classes of <growth>.
2
<Growth> has function of <grow>. Abbreviation is f (g).
3
<Frame> has <frame growth>. Abbreviation is <FG>.
4
<Ideogram> has <ideogram growth>. Abbreviation is <IG>.
5
<Quantum> has <quantum growth>. Abbreviation is <QG.>.
6
When <ideogram> in <frame> is transformed to<quantum> in <system>, <quantum> generates <sentence>.
When <Quantum> ceases movement in <system>, generated <sentence> becomes <ideogram> in <frame>.
This <frame> is enlarged by portions of <sentence>. This new <frame> is called <broad frame>. Abbreviation is <BF>.
7
<BF> has function of <grow>. By variant, <BF> shows <growth> of the time.
8
When <language world>, which is in a coordinate <system>, is changed, <big drift> occurs.
When <big drift> occurs, center of coordinate <system> is changed and <quantum> has different values in new <system>, that is to say, <small drift> occurs.†2
For example, /cell/ shows clearly the change, which is from /prison/ to biological /organism/, even to cell /phone/.
9
 <IG> has function of <grow>. By variant, <IG> shows <growth> of the time.
10
When <quantum> moves in <system>, <sentence> is generated. <Sentence> is a concentration of <quantum>. This concentration has adequate <connection> and <separation>.
<Connection> generates <fusion> of <quantum>.
<Separation> generates <peculiarity> of <quantum>. For instance, in a set of <quantum>, / I / /wrote/ /a/ /brief/ /letter/ /to/ /him/, / I / and /wrote/ are separated, and /a/ /long/ /letter/ are connected.
11
I assume that all <quantum> have <quantum growth>. <Connection> can function as <growth>, but <separation> cannot function as <growth>.†3
12
For instance, upper set of <quantum>, / I / before /wrote/ is <separation>. So / I /’s function does not work. /
A/ and /brief/ before /letter/ is <connection>.
Function of /a/ and /brief/ works. <Quantum> of /a/ and /brief/ grows to become same-time-with-/letter/-<quantum>. This <time> growth is called <quantum growth>.
13
<Quantum growth> is the kernel of generating <sentence> in <system>.

[References] 
†1 Frame-Quantum Theory/ March 13, 2005
†2 Changeability / January 8, 2005
†3 On Time Property Inherent in Characters / March 28, 2003  

Tokyo April 1, 2005
[Postscript August 2, 2008]

Quantum Linguistics Growth of Word Dedicated to TAKEUCHI Gaishi



Growth of Word
Dedicated to TAKEUCHI Gaishi


1 Natural language is a complex of words that are called natural-words in this paper. Natural-word is abbreviated to NW.
2 Natural-words make sentences that are called natural-sentences in the paper. Natural-sentence is called to NS.
3 NW is theoretically made by a set of zero sets. On details see the following papers. 
[On recognition]
[On automaton]
4 Generally NW is finite and NS is infinite. When observing word from the viewpoint of set, word is not necessarily finite. Content of word, namely a set of zero sets, is continuously variable.
5 Continuous expansion of zero sets makes continuous expansion of content of word.
6 Word is a universe that is constantly variable and expansive in set theory.
7 Variability and expansion on word universe make ambiguity between word and sentence.
8 Word universe is a set that contains all the set being existent.
9 Word universe is a logical existence and concurrently a logical contradiction in one hand from general mathematical viewpoint.
10 Word universe probably must be observed from successive, expansive complex of sets.
11 Word universe is called to be a growing existence. This growing universe is actually going over the limitations of a set of all the sets constantly.
12 Word universe will be one of the most important things, being connected with recognition of natural language and automatic language.
13 One of the theoretical embodiment of variability and expansion of word in natural language is Ainu language that is distributed in northern Japan, Hokkaido.
[References]
<On idea of growth>
<More details on word’s structure>

[Postscript August 2, 2008]

Grammar Dedicated to CHINO Eiichi

Grammar

Dedicated to CHINO Eiichi



1
Quantum has fixed factors, meaning and time.
2
Between two quanta, connection or separation is worked and a word or a sentence generates.
3
Arrangement of quanta /xue/, /xiao/ and /xue/ generates a word and a sentence.
4
Quantum /xue/ means <learn> in English. Quantum /xiao/ means <building> in English.
5
Quantum /xue/ and /xiao/ generate a word [[xue xiao]]. The latter quantum /xue/ adds next and generates a sentence[ [[xue xiao]]  xue ]. A sentence means  <(At) school (we) learn.> in English.
6
Short time-long time succession is accessible structure. Therefore connection phenomenon occurs.
7
Long time-short time succession is non-accessible structure. Therefore separation phenomenon occurs.
8
I formally assumed that separation occurs on a different floor in a two-dimensional world. Now I assume that separation occurs under a state of leap in a three-dimensional world.
9
A short-time quantum has a short longitude. A long-time quantum has a long time longitude.
10
Connection is a going-away movement from the datum point, namely, axis 0 on a coordinate system. 
11
Separation is a going-near movement to the datum point, namely, axis 0 on a coordinate system.
12
Now I assume that <word> is a <going-away-from-coordinate’s-origin> movement that is a normal condition in the language world. Therefore generation of <word> is the enlargement of the language world.
13
Now I assume that <sentence> is a <going-near-from-coordinate’s-origin> movement that is a non-normal condition in the language world. Therefore generation of <sentence> is the reduction of the language world. Generation of <sentence> is a movement toward the real world. End of <sentence> is bordered on the real world.
14
Grammar is the situation of quantum’s movement.
15
Grammar is transient.  
16
Grammar ends when <sentence> ends.
17
Grammar needs energy, after-grammar situation does not need any energy.


Tokyo February 20, 2005
Tokyo February 28, 2005 Revised
Tokyo March 3, 2008 Revised



Postscript March 3, 2008
[Reference]
[Basis]

Substantiality Dedicated to SAPIR Edward


Substantiality

Dedicated to SAPIR Edward



1 Substance of language is completion which possesses the distance from the real world.
2 The distance is sustained by the fixation for which meaning and time are abstracted.
3 If language has not distance, language appears and disappears following the real world proceeding.
4 Language is substantially unchangeable. Changeability occurs on surrounding.
5 The distance is measured by the longitude from the real world to the substantiality that meaning and time possess.
6 Substantiality is a frame of language.
7 Substantiality is free from the real world.
8 Substantiality is powered by outer energy.
9 Powered substantiality moves complied with possessed command, namely meaning and time.
10 Powered moving substantiality of language is called <quantum>.
11 The idea of quantum is partially realized by <bar code system> in the supermarket or bookstore.
12 Substantiality is bar code of can or book. Outer energy is bar code reader. Quantum moves in a cash register. Language generates price addition in the real world.
13 Bar code is not language. Bar code is substantiality of language. Bar code does not move by itself. When bar code reader becomes energetic, bar code generates <quantum> in a cash register. Language, namely, price-additional-work, starts at bookstore of station front in the bustling evening.    

Tokyo February 27, 2005
For the Memory of Tanashi Station Front Street February 26, 2005

Frame

Frame



1 Language has two states. One is static and the other is dynamic.
2 The static state on language is substantial and unchangeable on the paper, can, bottle and so forth. This state is called <frame> of language.
3 The dynamic state on language is energetic and movable in human mind, electric machine and so forth. This state is called <quantum> of language.
4 Frame has essential information for language, namely meaning and time, to let quantum move.
5 Frame can be set, printed and moved everywhere like a juice bottle label.
6 Frame is not energetic by itself. Unless outer energy is inputted, frame is fixed and at rest for ever.
7 Frame is an essential part of language but is not the whole of language.
8 Language consists of frame and quantum.
9 Frame is not changeable. Change of language occurs in the state of quantum.
10 <Word> and <sentence> is the two major change of quantum.

Tokyo February 27, 2005

[Postscript April 5, 2008]
On the theme <frame>, refer to the next.

Method of Linguistics About Quantum Theory for Language

Method of Linguistics

About Quantum Theory for Language



1                 Quantum theory for language is applied to the digitalization of linguistics.
2                 Quantum exists on the orbit in the shape of digital signal.
3                 The orbit is linear situation of one directive propelling.
4                 The orbit exists on a floor of language building.
5                 Positive quantum propels on the orbit.
6                 Negative quantum links the floors.
7                 Quantum has a meaning and a time.
8                 Meaning is derived from a significant of indicator.
9                 Time is derived from a period of indicator.
10             Indicator is the minimum unit of the theory.
11             Quantum has a shape of visible writing.
12             For example Chinese character /ri/ in English means sun is a quantum.
13             /Ri/ has a shape derived from the visible impression of sun.
14             /Ri/ has a meaning of sun.
15             /Ri/ has a time of eternity.
16             Chinese character /shang/ in English means rise is a quantum.
17             /Shang/ has a shape derived from the visible impression of putting thing.
18             /Shang/ has a meaning of putting thing..
19             /Shang/ has a time of putting activity.
20             Quanta connect linearly in the condition of time from short to long.
21             /Shang/’ time is shorter than /Ri/.
22             Shorter time to longer time connect well.
23             /Shang/ and /Ri/ connect well.
24             /Shang ri/ becomes a phrase, in English means Rising sun.
In this case, <connection rule> is worked.
25             A phrase is on a orbit of a floor. 
26             /Ri/ and /Shang/ separate each other.
27             /Ri shang./ becomes s sentence, in English means The sun rises.
In this case, <separation rule> is worked.
28             A sentence is on orbits, two or over two floors.
29             In upper case, /ri/ and /shang/ are both positive quantum.
There are no negative quanta.
Generally negative quanta can change and link the different floors.
In this case, /shang/ is a temporary negative quantum.
So /shang/ can changes and links the two orbit.
Temporary action occurs by the case of having eternal or sub eternal time quantum leads the non eternal quantum.
30             Shorter time quantum is shown by the mark of qs.
31             Longer time quantum is shown by the mark of ql
32             <Connection rule> is shown by the mark of <>.
33             <Separation rule> is shown by the mark of ><.
34             Upper two cases are shown by the marks below.
qs<>ql
ql><gs
35             A phrase is shown by the marks of ( ).
36             A sentence is shown by the marks of { }.
37             Upper two cases are shown by the marks below.
(qs<>ql)
{ql><qs}
38             A floor is shown by the marks of _____.
39             Changing floors are shown by the mark of ↑.
40             Upper two cases are shown by the marks below.
(qs<>ql)          
{ql>↑<qs}
41             Quantum movement stops when the meaning of quantum comes close to the real world to the utmost point in the situation.
42             Stopping situation is shown by the mark of |.
43             Upper two cases are shown by the marks below.
(qs<>ql)|      
{ql>↑<qs}|
44             Quantum of language is guaranteed by the constant movement to the real world.
45             The real world is a standstill point of quantum.
46             Quantum is measured by the distance to the real world.
47             Nearer distance is stronger than farer distance.
In this situation, <strength rule> is worked.
48             Strength of quantum is shown by the mark of dotted line longitude.
Narrow longitude is stronger than wide longitude.
49             Upper two cases are shown by the marks below.
(qs----<>ql--)|     
{ql---->↑<qs--}|

TOKYO June 26, 2004

Sekinan Research Field of Language


Property of Quantum

Property of Quantum



<1>
1
A thing which is expressed by utterance corresponds to a Chinese character onto which thing is projected. Therefore in Chinese language oral language is close to written language.
2
Chinese character consists of a quantum or more than two quanta.
3
A quantum consists of indicators.
4
An indicator has a signification and a period.
5
A signification is an element.
6
A period is an element. A signification is a simplified easy writable shape projected from an enduring thing in the real world.
7
A period is an evidently partitioned artificial time in which thing in the real world exists imaginarily. Therefore circumstance of a thing in the real world can surmise from a periodical element. 
8
When more over two indictors gather in a quantum, newly constructed period is generally shortened than each peculiarly possessing periods. Since indicators are restricted one another by their own possessing period. But occasionally composite period is longer than each inner indicator.
9 
Character /ri/ sun is made by one indicator. The indicator has one significant element and one periodical element. A signification is “sun”. A period is “eternal”.
Character /yue/ moon is made by one indicator. The indicator has one significant element and one periodical element. A signification is “moon”. A period is “eternal”.
When /ri/ and /yue/ gather in a quantum, new character is made by the two indicators /ri/ and /yue/. This new character is /ming/. It means light in English.
Newly constructed period is shortened than each possessing period. The period is a light time and a light place in peculiar situation.
For example, /Tian ming le./ means in English Dawn broke. This is a general instance.
10      
Character /yu/ bring up is made by three indicators. According to /jia gu wen/ inscriptions on bones or tortoise shells, three indicators are below.
First indicator is woman bending forward.
Second indicator is bodily fluid at child birth.
Third indicator is newly born child.
The period being projected onto the character /yu/ is longer than three indicators.
Newly made period of /yu/ is continuative period of three periods of indicators.
Namely character /yu/ has a period of composite, which is a period of three continuative occurring situations.
The situations are below.
First is the preparation for birth, woman bending forward.
Second is the state of what the waters broke from the mother’s body.
Third is a baby coming to our world.
Therefore the period of the newly constructed character /yu/ is rather long from the preparation of birth to the bringing up a child. 
<2>
1
Each quantum has a periodical situation projected from the things of the real world.
2
When two quanta are continuously located from the shorter one to the longer another, two quanta link up tightly. This situation is called joining. Joining is defined.
3
Generally, the quanta projected from the things in the real world have longer periods, and quanta projected from the movements in the real world have shorter period because of the time currency in the real situations. Things are located eternally in the same place with no particular power, on the centrally movements are ceaselessly move and change in the real world.
4
For example, in Chinese language, /jiao/ teach and /shi/ room are joined well and become the word /jioashi/, meaning classroom in English. Word is defined. But /shi/ and /jiao/ are not joined. Two quanta are located separately and become the sentence  /Shi/ /jiao/,  meaning in the classroom I teach. Sentence is defined.
5
For example, in Chinese, /wo/ I and /ren/ human being have similar periods because of living things in the real world. So /Wo ren/ become one sentence, meaning I am a human being.
When three quanta such as /wo/ /xue/ learn and /ren/ are located in this order, /wo/ and /xue/ are separated because a period of /wo/ is longer than a period of /xue/. Next, /xue/ and /ren/ are joined well because a period of /xue/ is shorter than /ren/. So /xue ren/ become one word, meaning learner. Therefore /wo xue ren/ means I am a learner. But occasionally /xue/ happens to be longer than /ren/ at periodical situation. In such case, /ren/ means a shorter concept of human being, human nature for instance. This concept human nature is an abstraction, not real thing in the world. Abstractive concept has a shorter period than the real thing because of the functionality of quantum. The definition of function is defined below.    In this case /wo xue ren/ means I learn human nature.
<3>
1          
Indicators of quanta have significations which are projected from the things in the real world. But this projection occasionally does not function in the process of the language history. The main cause of this phenomenon is no or few use of the things in the transition of life style of our human beings. In such cases indicators have no significations. And the periods in the indications disappear simultaneously, leaving the shapes and the sounds in the quanta. For example, Chinese character /bu/ originally means the partial name of the flower, that is to say, the indicator of quantum was projected from the flowers in the real world. But this significant indicator disappears early in the Chinese language history. Simultaneously the periodical indicator, that is almost equal to the flowering time, disappears in the language world. The shape and the sound in the quantum remain afterwards. And the sound functions later, indicating the sound-alike-quantum which has a negative meaning in the language world. Here the functional word /bu/, in English means not, comes into existence.
2
Functional word is not projected from the real world. For this reason functional words generally have a minute period in oneself.
3
When functional word is located in front of the word which have a longer period, two words can connect well and make a one-word-alike phrase. For example, Chinese character /bu/ not and /du/ read make a phrase, meaning not read in English. On the contrary /du/ and /bu/ cannot connect well. So these two words make a sentence, meaning read or do not read in English.
4
Functional words generally possess composite meaning. For example Chinese character /bu/ means negation, in English means not. This concept of negation is followed after the concept of existence. In other words, /bu/ means the situation that after a minute period existence changes non-existence. Here Chinese character /ye/ means the concept of conclusion. This is also a functional word. The function of this character is the continuance of the situation, in which after a minute period the things remains the same place.
5
Chinese sentence /Wo shi ren ye./ means I am a human being. in English. Connecting and not-connecting of this sentence is below.
/Wo  shi  ren   ye./ Here /shi/ and /ye/ are functional word, possessing a minute periods.
/Shi/ is clearing the thesis on the declaration.
/Ye/ is the conclusion.
/Wo/ is I in English, longer period.
/Ren/ is Human being in English, also longer period.
The period of /wo/ is longer than /shi/.
The period of /shi/ is shorter than /ren/.
The period of /ren/ is longer than /ye/.

Tokyo May 21, 2004
For the memory of Hakuba August 23, 2003

[Postscript / October 27, 2007]
<<Property of Quantum> is related with the next papers for the most part.>
For more details, see <Quantum Theory for Language Map>.

[Postscript 2 / January 12, 2008]
<Typographical error is corrected from /zhe/ to /shi/.
/Wo shi ren ye./ is expressed by Chinese characters, 「我是人也。」.>

[Postscript 3 / January 12, 2008]
<On quantization of language by mathematical approach, refer to the next.>

[Postscript 4 / January 5, 2009]
<On notional and functional word>