Wednesday 30 July 2014

TOMONAGA’s Super Multi-time Theory / Clifford Algebra Note 5, 25 January 2008 / Note added, 30 July 2014



Note 5
TOMONAGA’s Super Multi-time Theory


1 <Schrödinger equation>
State vector     ψ
Time     t
Electromagnetic field     A
Hamiltonian     H
iψ(t) = (t),   ψ(0) = ψ     (1)
2 <Dirac’s paraphrase of Schrödinger equation >
Coordinate     x
Momentum     p
Electron     N in number
Electromagnetic field     A
H-em     Electromagnetic field Hamiltonian
H-em Hn ( xnpn(xn) ) +   ] ψ(t) = 0     (2)
3 <Representation by unitary transformation>
u(t) = exp{ H-em}
(xnt) u(t) A (xn) u(t)-1
Φ(t) = u(t) ψ(t)
Hn ( xnpn(xnt) ) +   ] Φ(t) = 0     (3)
4 < Dirac’s multi-time theory- Time variant in number >
[Hn ( xnpn(xntn) ) +   ] Φx1, t1; … ; xN, t) = 0     (4)
5 <Tomonaga’s representation of electromagnetic field>
Unitary transformation
U (t) = exp {  (H1 + H2 ) t }    
Schrödinger equation
[HH2 + H12  ] ψ(t) = 0    
Independent time variant txyz at each point in space 
H12 (xyztxyz ) +   ] Φ(t) = 0     (5)
6 < Tomonaga’s super multi-time theory>
Super curved surface     C
Point on C     P
4-dimensional volume’s transformation of     CP
Infinite small variation of state vectorΦ[C] = Φ[txyz]      Φ[C]
H12 ( P ) +   ] Φ[C] = 0     (6)

[References]
<Past work on multi-time themes>
<For more details>
Language and Spacetime 

Source: http://www.sekinan.org/SekinanLinguisticField/CANote5TOMONAGASuperMultiTimeTheory.htm


[ Note / 30 July 2014]
Tomonaga model of word is expressed by the following.
Whole of word: = C
Part of word: = P
Time at part of word: = txyz 
Tokyo 25 January 2008
Tokyo 30 July 2014 Note added

Hatonosu Ravine
29 July 2014

Sunday 27 July 2014

The First Paper on Inherent Time in Word

The First Paper on Inherent Time in Word 

TANAKA Akio

26/07/2014 10:18
In 2003 I wrote a paper which shows the inherent time in word, titled On Time Property Inherent in Characters.
In those days I frequently looked upon the reading on linguistic history of Chinese characters. Qing dynasty is like a sitting sun delight with classical study of Chinese Classics. 

In October 2002, I contracted pneumonia and entered a hospital two weeks. At the hospital pneumonia smoothly recovered to usual health. So I thought on my study life and my main target of language at the free time. From the hospital's window the Okutama Mountains were always clearly seen. Seeing the mountains, I gradually determined that the research must be led by clear description, not by traditional style of historical language study.

But my study was mainly put on WANG Guowei's style until then. His life work, Quangtangjilin is the only book in my life. Then at the hospital bed, I confirmed that my study was mixed to clear description and traditional WANG's work.

In March 2003, I stayed at Hakuba, Nagano for tasting the passing wintry season’s landscape. At the place,  I suddenly floating up an idea of language study that word has time in it and that time and meaning are all shaped to be elements. At the result I finished the paper, On Time Property Inherent in Characters.

On Time Property Inherent in Characters / 28 March 2003


Read more: http://srflnote.webnode.com/news/the-first-paper-on-inherent-time-of-word-atsrfl/
    
                                                         Tokyo
                                                   24 July 2014

                             Sekinan Research Field of Language        

Friday 25 July 2014

Character encloses the time of word / 24 July 2014

CHARACTER ENCLOSES THE TIME OF WORD


24/07/2014 15:05

Character encloses the time of word. This notion first thought at researching the old Chinese characters assisting the Qing Dynasty's linguists, especially WANG Guowei's life-time collected papers, Guantangjilin. I wrote trial papers between November 2002 and February 2003. From these trials I made a rather self-confident paper, On Time Property Inherent in Characters, in March 2003 at Hakuba, Nagano, where outside were all white by snow. In September this year 2003, the paper based on this paper, Quantum Theory for Language, was shown at the international conference related with literature and history of Silk Road.
Paper’ contents are seen at the below.

References
On Time Property Inherent in Characters


TANAKA Akio
Tokyo
24 July 2014

Alpine flower near Hakuba, Nagano
28 August 2003
Read more: 

Quantum Theory for Language / 15 January 2004


Synopsis

Revised and Noted from Prototheory Paper   On Time Property Inherent in Characters



1
The object of this theory is isolating languages. #1
2
The Chinese language is adopted for the model of isolating languages. #2
3
In this theory the Chinese character is regarded as the Chinese language.
Therefore this theory is the theory for written language. #3   
4
The Chinese character is the basis of this theory.
5
The Chinese character is the quantum of language. #4
Quantum is defined.
The quantum of language is the smallest unit of language.
The quantum of language has the force.
This force propels oneself to the next quantum.
Force is defined.
6
The quantum consists of indicators. #5
7
The indicator is the shape abstracted from the real world.
Indicator is defined.
The indicator has the signification and the period inherently.
8
The inherent signification of the indicator is produced from the work of the real world.
Inherent signification is defined.
The inherent period of the indicator is produced from the time of the real world.
Inherent period is defined.
9
The quantum consists of one or more than one indicators.
10
The quantum has the inherent meaning and the inherent time that is produced from one or more than one indicators. #6
11
The inherent meaning of the quantum is produced from the indicator or the combination of the indicators.
Inherent meaning is defined.
12
The inherent time of the quantum is produced from the indicator or the combination of the indicators.
Inherent time is defined.
13
The period of indicator has the start point and the end point.
The length of two points is called the period zone.
Period zone is defined.
The time of quantum have the start point and the end point.
The length of two points is called the time zone.
Time zone is defined.
14
The time zone of the quantum decides the state of the connection of the two quanta.
This state of the connection is called <time principle of quantum>.#7
15
The front quantum that has the short time zone can connect the rear quantum that has the long time zone.
This qualification is called <connection rule>.
This situation of connection is called word.
Word is defined.
16
The front quantum that has the long time zone cannot connect the rear quantum that has the short time zone.
This qualification is called <separation rule>.
This situation of separation is called sentence.
Sentence is defined.
17
Language has the gathering of words.
This gathering is called territory.
Territory is defined.
18
Language has the gathering of sentences.
This gathering is called province.
Province is defined.
19
The quantum appears for the purpose of adding the new value of the territory. #8
The value can spread the recognition of the human being.
This value is called harvest.
Harvest is defined.
20
Quantum propels oneself to the next quantum on a line.
This line is called orbit.
Orbit is defined.
21
Quanta propel on an orbit by the force of quanta.
The force of the quantum is produced from the indicator.
The indicator is the shape abstracted from the real world.
Therefore the indicator constantly approach to the real world.
This approach makes the force of quantum.
The force is placed in this theory.
The quantum connects real world by the force of approach.
This connection guarantees the existence of the quantum.
The quantum makes the word.
The quanta make the word.
The word is guaranteed.
The quanta make the sentence.
The sentence is guaranteed.
The quanta make the language.
The language is guaranteed.
22
A sentence needs an orbit.
Another sentence needs another obit.
Two sentences cannot propel on the same orbit.
This qualification is called <propelling rule>.
23
A sentence becomes at rest when a quantum approaches the most nearly to the real world.
The force of the quantum disappears because of no use of approaching to the real world.
This phenomenon is called standstill.
Standstill is defined.
Standstill phenomenon is concerned with the prayer of belief in human being.
Because the prayer is the act of constantly approach to the real world of religion.
Standstill phenomenon is a subject for the anthropology of religion. #9
24
The orbit is linear.
Next orbit is under the former orbit in this theory.
The quantum of next orbit is located just below the quantum of the former orbit.
For example from Chinese, / Wo shuo de shi jiade. /In English, What I say is a lie.
By the combination rule, the separation rule and propelling rule, this Chinese is showed below.
     Wo
shuo
             de
               shi jia
                    de.
This showing of the orbits is called orbit table. #10
Orbit table is defined.
The quanta on the same orbit is called phrase.
Phrase is defined.
In the orbit table, the place of the each orbit is called the layer.
Layer is defined.
25
In upper orbit table, the orbit of /shuo/, say, and /shi jia/, is a lie, is located in another layer. 
The orbit of /shuo/ is guaranteed.
The orbit of /shi jia/ is also guaranteed.
26
The orbit of /shuo/ and the orbit of /shi jia/ are different.
Two orbits belong to another place of the language.  
Language is made from orbits on which quanta are located.
27
/Wo shuo de shi jia de. / becomes contradiction in the current recognition of language.
But in this theory /shuo/ and /jiade/ are located another orbit.
Therefore contradiction is avoided.
Two orbits are equally guaranteed.
But the quantum of /shuo/ is farther than the quanta of /shi jia/ from the standstill.
/shi jia/ is nearer to the real world than /shuo/.
In the linear obit, nearer quantum to the standstill is stronger to the real world.
This is called <strength rule>.
Strength is a quantity of distance, from one quantum to the real world.
Strength is defined.
28
/Wo shuo de shi jia de. / is recognized below.
“The world is a lie. One place in this world I tell someone something.”
There is no contradiction here.

Notes
#1
This theory originates in the concept <drift> of Edward Sapir.
#2
This theory is indebted to the book of Wang Yingzhi, Jingzhuanshici.
#3
Chinese characters are almost the Chinese language itself.
Because Chinese syllabic sounds always request the own images for the memories.
Therefore Chinese characters can also act as the spoken Chinese. 
#4
This Concept originates in the paper of Wang Guowei, Yinbucizhong suojian xiangong xianwang kao.
#5
Chinese character /yu/ generally means give birth to in English.
In ancient style of character /jia gu wen/ inscriptions on bones or tortoise shells, it has three indicators, woman bending forward, body fluid at childbirth, new born baby.
Therefore this character has the inherent meaning and time.
In other words, there are three successive categories of meaning and time, pregnancy, birth and support.
The quantum is essentially structural.
#6
This concept originates in the paper of Sergej Karcevskij, “Du dualisme asymetrique du signe linguistique”.
#7
The quantum of language disappears when the meaning of the quantum goes out of use.
For example, Chinese character /bu/ not originally meant a part of flower.
But this notional meaning disappeared early in the Chinese language.
Later instead of this meaning, /bu/ possessed the denial function. 
#8
Chinese character /jiao/ means teach in English, containing short time.
Chinese character /shi/ means room in English, containing long time.
Time of existence is longer than time of movement. Therefore /jiao shi/ makes one word. It means classroom.
But /shi jiao/ make one sentence, not one word. It means in the classroom I teach.
So connection and separation of the quanta are the new syntactic principle of the Chinese language.
It is called< time principle of quantum>.
#9
This theory is also a gift to anthropology, which always gives the theory flashes of thinking.
Many thanks for anthropology, especially for the book of Kawada Junzo, Mumoji shakai no rekishi.   
#10
In Chinese traditional syntax, characters have been classified into two groups, /shi ci/ notional words and /xu ci/ functional words.
In this quantum theory, notional words have long time, functional words have short time.
Orbit table is made by the time measuring of this traditional classification.
<Quantum Theory for Language> inherits the linguistic method from /xiaoxue/ small study of the /Qing/ Ching dynasty.


Tokyo January 15, 2004
For the memory of Hakuba August 23, 2003

Postscript
[References / January 21, 2008]
<On the property of quantum>
<On orbit and orbit table>

[References / December 21, 2008]
<Survey at the time>
<Following theory at the time>
<A conclusion at the time>

[Reference / January 1, 2009]