Thursday, 22 May 2025

Letter to WPM On Aurora Theory 1 December 2019 – 11 December 2019

10/08/2020 17:49

Letter to WPM On Aurora Theory 1 December 2019 – 11 December 2019

Farewell to language universals. Letter to WPM. Along the ridges of the mountains. On Aurora Theory. 6th Edition. 11 December 2019

Why climb mountain. Climb for existence. MIYATA Hachiro Mountain photographer, Japan– 2018 Letter to WPM Along the ridges of the mountains On Aurora Theory Dear WPM, Thanks a lot for RTs and probably for your lasting love on language. Now I am uploading Aurora Theory 2006 and its relevant papers to WordPress. At this occasion, I will write some memories on Aurora … Continue reading Farewell to language universals. Letter to WPM. Along the ridges of the mountains. On Aurora Theory. 6th Edition. 11 December 2019Posted on December 11, 2019 by Sekinan View Posted in Uncategorized Tagged Farewell to language universals. Letter to WPM. 6th Edition. Leave a comment Edit

Now remembering Aurora Theory as the first language model. Letter to WPM. 5th Edition. 5 December 2019

Now remembering Aurora Theory as the first language model. Letter to WPM. 5th Edition. 5 December 2019 Why climb mountain. Climb for existence. MIYATA Hachiro Mountain photographer, Japan– 2018 Letter to WPM Along the ridges of the mountains On Aurora Theory Dear WPM, Thanks a lot for RTs and probably for your lasting love on language. Now I am uploading Aurora … Continue reading Now remembering Aurora Theory as the first language model. Letter to WPM. 5th Edition. 5 December 2019Posted on December 5, 2019 by Sekinan View Posted in Uncategorized Leave a comment Edit

Letter to WPM Along the ridges of the mountains On Aurora Theory 4th Edition 4 December 2019

Letter to WPM Along the ridges of the mountains On Aurora Theory 4th Edition 4 December 2019 Why climb mountain. Climb for existence. MIYATA Hachiro Mountain photographer, Japan– 2018 Letter to WPM Along the ridges of the mountains On Aurora Theory Dear WPM, Thanks a lot for RTs and probably for your lasting love on language. Now I am uploading Aurora Theory … Continue reading Letter to WPM Along the ridges of the mountains On Aurora Theory 4th Edition 4 December 2019Posted on December 4, 2019 by Sekinan View Posted in Uncategorized Leave a comment Edit

Letter to WPM Along the ridges of the mountains On Aurora Theory 3rd Edition 2 December 2019

Why climb mountain. Climb for existence. MIYATA Hachiro Mountain photographer, Japan– 2018 Letter to WPM Along the ridges of the mountains On Aurora Theory Dear WPM, Thanks a lot for RTs and probably for your lasting love on language. Now I am uploading Aurora Theory 2006 and its relevant papers to WordPress. At this occasion, I will write some memories on Aurora … Continue reading Letter to WPM Along the ridges of the mountains On Aurora Theory 3rd Edition 2 December 2019Posted on December 2, 2019 by Sekinan View Posted in Uncategorized Leave a comment Edit

Letter to WPM Along the ridges of the mountains On Aurora Theory 2nd Edition 2 December 2019

Why climb mountain. Climb for existence. MIYATA Hachiro Mountain photographer, Japan– 2018 Letter to WPM Along the ridges of the mountains On Aurora Theory Dear WPM, Thanks a lot for RTs and probably for your lasting love on language. Now I am uploading Aurora Theory 2006 and its relevant papers to WordPress. At this occasion, I will write some memories on Aurora … Continue readingLetter to WPM Along the ridges of the mountains On Aurora Theory 2nd Edition 2 December 2019Posted on December 2, 2019 by Sekinan ViewPosted in Uncategorized Leave a comment Edit

Letter to WPM Along the ridges of the mountains On Aurora Theory 1 December 2019

Why climb mountain.Climb for existence.MIYATA HachiroMountain photographer, Japan– 2018 Letter to WPM Along the ridges of the mountainsOn Aurora Theory Dear WPM, Thanks a lot for RTs and probably for your lasting love on language.Now I am uploading Aurora Theory 2006 and its relevant papers to WordPress.At this occasion, I will write some memories on Aurora … Continue readingLetter to WPM Along the ridges of the mountains On Aurora Theory 1 December 2019Posted on December 1, 2019 by Sekinan ViewPosted in UncategorizedTagged Letter to WPM Along the ridges of the mountains On Aurora Theory 1 December 2019.Leave a comment Edit

TANAKA Akio
Tokyo
10 August 2020

LETTER TO WPM AND SEBASTIAN. AFTER LANGUAGE UNIVERSALS, AFTER LINGUISTICS 3 SEPTEMBER 2021. PPS ADDED 21 OCTOBER 2021

After Language Universals, After Linguistics.

From Author;
Long and winding road of my study ends for once in autumn 2021.

I wrote a next letter to WPM on 11 December 2019.

It was a clear farewell to Language Universals after some 20 year study.

It also sends farewell to usual Linguistics now available at the study field.

For details, please refer to the next rather long letter.

Farewell to language universals. Letter to WPM. Along the ridges of the mountains. On Aurora Theory. 6th Edition. 11 December 2019

After Language Universals, after Linguistics, to where language study go?

Simple answer is to mathematical and digital place.

Language Universals and Linguistics have not show any clear evidences and proofs for me, all are supposition that have been gathered narrow fields in the vast language world.

Mathematics has clear proof.

Digitisation has finite bounds. Infinity and no bounds does not recognise by usual approach of human being, probably expect mathematics and computer.

Mathematics recognises infinite dimension.

Computer recognizes infinite circuit.

This upper two probability can surpass infinity. Language is consisted of finite elements and probably can make infinite language world.

Human usual supposition cannot grasp this vast world.

Supposition is supposition, cannot go to Substantia (Substance), only can go to a part of Accsidens ( Accident).

Human being can use mathematics being kept from Greece and computer being made from modern scientific and technological result.

These two are reliable source that we take now, and can go some more near to Substantia of language.

TANAKA Akio

Tokyo

3 September 2021

SRFL Paper

Deeply thanks to WPM and Sebastian on your constant encouragement for my study.

TANAKA Akio

Tokyo

3 September 2021

SRFL Paper

PPS
Text is partly revised for more clarity.

T.A.

Tokyo

21 October 2021

To Winter RI Ko. 14 John Peabody Harrington, Roman Jakobson, FUKAYA Kenji, Maxim Kontsevich, ZHANG BInglin and Roger Penrose 14 Description of Language. 2015. Translated by Google translate 2020

05/05/2020 18:29

To Winter RI Ko 2015
14 John Peabody Harrington, Roman Jakobson, FUKAYA Kenji, Maxim Kontsevich, ZHANG BInglin and Roger Penrose

From author:
This text’s translation by Google translate is a little hard to be accurate at the present, especially on mathematical explanation

You can see the whole city from the library on the hill. The east side of the third floor is a computer room. The internet was always connected there, and I could use any table freely. I often spend my holidays near the window. A group of tall blue-green buildings rises to the northeast of the left side of the window. Seen from here on the hill, it is much higher. Only there is towering above the sky. Immediately south, there should be A’s home. Did the bulbul hit a tall building like that? The glass walls were distant and dull, reflecting the light of the autumn afternoon.

When I was cleaning the room where the birds were gone for the first time in a while, I found some furrowed flock in the corner. The soft wings floated in the air for a while when released. Have you lived in the city because of your childhood? I wished that I was now resting slowly in the grove of the hills. A created Web pages and Dreamweaver, but since the amount has gradually increased, I switched to Expression Web from the middle. I used Office for documents at first, but soon I switched to Zoho.

In this way, I was able to quickly write small mathematical expressions using LaTex. When Backup was run automatically using SugarSync, all traces of A were on Cloud. The document was written in English. Regular sentences other than mathematical expressions are relatively easy to write with a limited vocabulary. This could lead to someone seeing somewhere. I had little hope, but there was little response.

Of course, I thought it would be nice if there could be one or two people in this wide world who could sympathize with me, but that didn’t bother me that much. I just keep writing. There is no guarantee that there will be someone like John Pepody Harrington, who continued to record the American Indian languages. 1920 The photographs in the Smithsonian Institution’s collection, which are doing field research around the year, look somewhat like the pioneers of the West. It’s okay to wait quietly for the future of Harrington in the corner of the city.

It was a fun task to think of a language containing time as a possibility using a model. However, in reality, it is rarely something that can be created, such as an original one. I couldn’t exceed the conventional idea. He arranged the work procedure little by little. First create a simple model. Select the shape suitable for the model. How much is the figure written?

According to Kenji Fukaya, the geometry was “a group of groups and the space in which it acts”. It was Fukaya’s charm that he was able to briefly confirm and look at the fundamental things. By referring to Jacobson’s “semantic minimum”, a new geometric “minimum of meaning” is set, and the time t is included as a meaning by moving the time t in the closed interval. Defined the geometric word.

I repeated this direction many times with different levels of geometry. The universality of language was thought to be closely related to the invariant of mathematics. In Fukaya’s book, I learned that the quantum cohomology ring can be obtained from the Gromov-Witten invariant and the Gromov-Witten potential can be obtained. Language approached mathematics and physics. It has become possible to logically check the symmetry that has long been a concern. Under certain assumptions, the character of various languages can be inspected as a model from, for example, one figure or manifold. One of the centers was homological mirror symmetry, which was proposed by Kontsevich.

When I got tired of working in the library, I went out to the rooftop. The city, which spreads under the dark maroon autumn sky, conveyed the grandeur of human activities. The sounds of distant cities echo like a chord. Are people flying in this city as birds are flying in the sky? Just as birds sometimes crash into the ground by colliding with the turquoise glass of tall buildings, will people crash into the ground and crash somewhere?

I once read a story about birds in the book Shorin no Fubun. “According to the poem of the 3rd year of the Emperor Hansho, a bird of five colors, it passes over the prefectures in which it belongs.” It seems that 10,000 birds of five colors flew in the sky. As for the beginning, I continue to cite Chinese books. According to the poem’s third year of honor, he gathered New Year’s lords, Otori, Emperor and Kanro to the Kyoto teacher, and according to the flock of birds, the findings of the Han book were true.

The contents of this Chinese book, in which 10,000 birds gathered in search of it, are true. It is unknown whether Shorin believed in these statements. However, according to Shorin’s habit, he might have believed it as a natural thing.

Autumn flowers were dancing in the strolling garden on the roof of the library. White autumn Ming chrysanthemum, yellow Maru chrysanthemum, Nozoku chrysanthemum Soothing Hottogigisu and the white and white Arissum flowers crawling on the ground. Sky blue salvia, red cherry sage, purple rosemary and light blue basil. Dark blue Saintpaulia, white sapphinia, crimson geranium bowls and hanging. Huquera, Drachina consenna, Sansevieria houseplant. Spatti is also rich in green, and the red sea urchin is already red. Various sasanqua that began to inflate the buds, the last cosmos flowers that sway in the wind Winter clematis that has been quite tall, large leaves on the grape rack with few remaining, and a large red or white large ball swaying occasionally in the strong wind .

If you look closely, you can also see the pink bokeh flowers that change the season. Shala beautifully turns red, and dogwood turns the leaves brown. On the other hand, rhododendrons had already inflated the buds considerably. Autumn was getting deeper.

You can hear the sound of the city line riding on the wind. How is K doing? Well, let’s make a dedication to the document. For familiar days with K. I continued to write documents when I got home. The linguistic space including time gradually expanded from a straight line to a plane and from there to a sphere. Attracted by the work of Roger Penrose, I made a projective model.

As I was thinking about it at midnight, I thought it would be beautiful if the language danced in the sky like an aurora. A complex plane is created by mapping all complex numbers to planes, as if all real numbers were mapped to straight lines. A complex number defined by two real numbers is placed on the plane as a language unit, and it is called a language point. Establish a vertical third coordinate axis from the origin of the plane and make a sphere with a unit radius centered on the origin. The spheres intersect at a radius of 1 on the new coordinate axes. If that point and a linguistic point on the complex plane are connected by a straight line, when the linguistic point has a distance of 1 or more, it intersects with the sphere at one point. When the distance is less than 1, the linguistic point is inside the sphere and does not intersect the sphere.

This shows the limits of the language. Ordinary language points are projected on the spherical sky when the distance exceeds 1. The projection is called aurora. Language points at infinity converge on a sphere on the Z axis. You can capture an infinite number of languages in a finite way. A straight line connecting two points on the complex plane draws an arc in the spherical sky. The two straight lines form two arcs in the sky, and connecting four points creates a distorted quadrilateral in the sky.

If we model the points in the sky as words, arcs as sentences, and quadrilaterals as sentences, the language will emerge there. The language becomes Aurora and dances in the sky. Language is aurora dancing above us.

Under the Dim Light

TANAKA Akio

I frequently talked with CHINO Eiichi at the coffee shop near the station we used to get on. The shop was at the second floor and the steps upstairs always sounded squeaking. Under the dim light the topics of conversation was on language or linguistics after all. He was already the university professor but I was a poor research student. But he was always showed me the general tenderness.

The subject he gave me were impressive and useful for me, in which the most important is the history of The Linguistic Circle of Prague and the excellent pioneers of language study. He had of course the unique approach to the study but I had never any conspicuous one except boundless interest on the study.

In his wide and precious telling for me I gradually determined my course to proceed. It was the making of basic and radical foundation on natural language by searching the structure of language through simple and clear description. For keeping this difficult aim I had a decision that there was only way to use mathematics that I had abandoned at the past for its hardness.

In my age 20s, I had read Ludwig Wittgenstein and Nicolas Bourbaki in concentrating. I did not clearly understand Wittgenstein’s approach. But I borrowed his writing style that was simple and clear. So my early work’s descriptions were nearly at him. But I decided that I never adopted strongly-intuitive thinking.

I always considered mathematical basis or analogy. My aim was the independence from the intuitive description. Keeping on this course, there was seen the mathematical basis that I must adopt the model in which language universals are clearly described. I entered to the mathematical description of study that was confirmed premises of my way.

Tokyo
1 August 2012
Sekinan Research Field of Language

Reference

The days between von Neumann Algebra and Complex Manifold Deformation Theory

The days between von Neumann Algebra and Complex Manifold Deformation Theory

Applied papers with this essay are reprinted at SRFL News.

TANAKA Akio

von Neumann Algebra was written from 3 April 2008 to 2 May 2008. And Complex Manifold Deformation Theory was written from 30 November 2008 to 9 January 2009. In the days between the two theories I wrote the following 4 paper groups.

Functional Analysis
Reversion Analysis Theory
Holomorphic Meaning Theory
Stochastic Meaning Theory

These days were the preparatory time for regularised writing by algebraic geometry at Zoho site. But they were relatively precious days for thinking about the reshuffling mathematics and physics related with language. Especially Stochastic Meaning Theory was a milestone for mathematical approaching to physical phenomenon of language.Stochastic Meaning Theory's titles are the next.

Stochastic Meaning Theory

On the other hand, I really realised that mathematical writing of natural phenomenon, for example natural language, inevitably needed clear routes by mathematics that was represented by function analysis approach. Functional Analysis and Reversion Analysis Theory were the trial papers aiming for new ground, especially the comparison of finiteness and infinity in generation of words and sentences.

Functional Analysis 1

Note
1. Baire's Category Theorem
2. Equality and Inequality
3. Space
4. Functional
Conjecture
1. Finiteness of Vocabulary
2. Distance at Hypersurface

Functional Analysis 2

Note
1. Pre-Hilbert Space and Hilbert Space
2. Orthogonal Decomposition
Conjecture
1. Generation of Word

Reversion Analysis Theory

1. Reversion Analysis Theory
2. Reversion Analysis Theory 2

But at that time I could not decide the main field of mathematics for applying to language study. Moreover I never thought about language models parting from natural language and constructing the new field for thinking about language universals.
After these preparation of algebra that was started from Premise of Algebraic Linguistics 1 -1 at 11 September 2007, I barely reached to the entrance of algebraic geometry's use for language and making the language models. It was Complex Manifold Deformation Theory which began to write at 30 November 2008 titling Distance of Word, one of my main themes for language universals from the very starting of language study. Thus my study first focused to making language models of algebraic geometry using complex manifold.

Complex Manifold Deformation Theory

# Here ends the paper.

Tokyo
6 January 2015
Sekinan Essay

The Days of von Neumann Algebra

The Days of von Neumann Algebra

The cited papers' texts are shown at Blogger site, SRFL News.

TANAKA Akio

1.
My study's turning point from intuitive essay to mathematical writing was at the days of learning von Neumann Algebra, that was written by four parts from von Neumann Algebra 1 to von Neumann Algebra 4. The days are about between 2006 and 2008, when I was thinking about switching over from intuitive to algebraic writing. The remarkable results of writing these papers were what the relation between infinity and finiteness in language was first able to clearly describe. Two papers of von Neumann 2, Property Infinite and Purely Infinite, were the trial to the hard theme of infinity in language.
The contents' titles are the following.

..............................................................................................................................

von Neumann Algebra

Assistant Site : sekinanlogos
TANAKA Akio

On Infinity of Language
1 von Neumann Algebra 1
2 von Neumann Algebra 2
3 von Neumann Algebra 3
4 von Neumann Algebra 4

References

1 Algebraic Linguistics
2 Distance Theory Algebraically Supplemented
3 Noncommutative Distance Theory
4 Clifford Algebra
5 Kac-Moody Lie Algebra
6 Operator Algebra.

.................................................................................................................................

2.
The papers of von Neumann Algebra and References are the next.

..................................................................................................................................

von Neumann Algebra

1 1 Measure
2 Tensor Product
3 Compact Operator

von Neumann Algebra 2

1 Generation Theorem

von Neumann Algebra 3

1 Properly Infinite
2 Purely Infinite

von Neumann Algebra 4

1 Tomita's Fundamental Theorem
2 Borchers' Theorem

Algebraic Linguistics

<Being grateful to the mathematical pioneers>On language universals, group theory is considered to be hopeful by its conciseness of expression. Especially the way from commutative ring to scheme theory is helpful to resolve the problems a step or two.
1 Linguistic Premise
2 Linguistic Note
3 Linguistic Conjecture
4 Linguistic Focus
5 Linguistic Result

Distance Theory Algebraically Supplemented

Algebraic Note
1 Ring
2 Polydisk <Bridge between Ring and Brane>
3 Homology Group
4 Algebraic cycle
Preparatory Consideration
1 Distance
2 Space <9th For KARCEVSKIJ Sergej>
3 PointBrane
Simplified Model
1 Bend
2 Distance <Direct Succession of Distance Theory>
3 S3 and Hoph Map

Noncommutative Distance Theory

Note
1 Groupoid
2 C*-Algebra
3 Point Space
4 Atiyah’s Axiomatic System
5 Kontsevich Invariant[References]
Conjecture and Result
1 Sentence versus Word
2 Deep Fissure between Word and Sentence

Clifford Algebra

Note
1 From Super Space to Quantization
2 Anti-automorphism
3 Anti-self-dual Form
4 Dirac Operator
5 TOMONAGA's Super Multi-time Theory
6 Periodicity
7 Creation Operator and Annihilation Operator
Conjecture
1 Meaning Product

Kac-Moody Lie Algebra

Note
1 Kac-Moody Lie Algebra
2 Quantum Group
Conjecture
1 Finiteness in Infinity on Language

Operator Algebra

Note
1 Differential Operator and Symbol
3 Self-adjoint and Symmetry
4 Frame Operator
Conjecture
1 Order of Word
2 Grammar
3 Recognition
....................................................................................................................................

3.
After writing von Neumann Algebra 1 - 4, I successively wrote the next.

Functional Analysis
Reversion Analysis Theory
Holomorphic Meaning Theory
Stochastic Meaning Theory

Especially Stochastic Meaning Theory clearly showed me the relationship between mathematics and physics, for example Brownian motion in language. After this theory I really entered the algebraic geometrical writing by Complex manifold deformation Theory. The papers are shown at Zoho site's sekinanlogos.

....................................................................................................................................

sekinanlogos

Complex Manifold Deformation Theory

Distance of Word
Reflection of Word
Uniqueness of Word
Amplitude of Meaning Minimum
Time of Word
Orbit of Word
Understandability of Language

Topological Group Language Theory

Boundary of Words

Symplectic Language Theory

Symplectic Topological Existence Theorem
Gromov-Witten Invariantational Curve
Mirror Symmetry Conjecture on Rational Curve
Isomorphism of Map Sequence
Homological Mirror Symmetry Conjecture by KONTSEVICH
Structure of Meaning

Floer Homology Language

Potential of Language
Supersymmetric Harmonic Oscillator
Grothendieck Group
Reversibility of language
Homology Generation of Language
Homology Structure of word
Quantization of Language

.....................................................................................................................................

4.
The learning from von Neumann Algebra 1 ended for a while at Floer Homology Language, where I first got trial papers on language's quantisation or discreteness. The next step was a little apart from von Neumann algebra or one more development of algebra viz. arithmetic geometry.

# Here ends the paper.

Tokyo
3 December 2015
Sekinan Essay