Genealogical Tree of Sekinan

Genealogical Tree 

TANAKA Akio

Tokyo
16 July 2015
Sekinan Study

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Genealogical Tree 

Manuscript of Quantum Theory for Language
|
On Time Property Inherent in Characters
|
Quantum Theory for Language
|                                                |
Distance Theory                      Property of Quantum
|                                                 |
Prague Theory                        Quantification of Quantum
|
Reversion Theory
|
Mirror Theory
|
Mirror Language
|
Guarantee of Language
|
Actual Language and Imaginary Language
|
Direction
|
Uniformity
|
Changeability
|
Individuality
|
Time
|
Fixation
|
Grammar
|
Substantiality
|
Frame
|
Recognition
|
Ideogram
|
Conversation
|
Descriptiveness
|
Lineation
|
System
|
Automaton
|
Vector
|
Algebraic Linguistics

     |     

     Sentence versus Word

     Deep Fissure between Word and Sentence
     |Distance Theory Algebraically Supplemented
     |
     Bend     Distance <Direct Succession of Distance Theory>
     S3 and Hoph Map 
     |
Clifford Algebra

     From Super Space to Quantization

     Anti-automorphism

     Anti-self-dual Form

     Dirac Operator

     TOMONAGA's Super Multi-time Theory 

     Periodicity

     Creation Operator and Annihilation Operator

     Meaning Product 

     |
Kac-Moody Lie Algebra 

     |

     Kac-Moody Lie Algebra

     Quantum Group

     Finiteness in Infinity on Language
     |
Operator Algebra

     |

     Differential Operator and Symbol

     <One Paper lost>

     Self-adjoint and Symmetry 

     Frame Operator             

     Order of Word     Grammar     Recognition

     |
von Neumann Algebra
     |

     von Neumann Algebra 1

     Measure
     Tensor Product
     Compact Operator 

     von Neumann Algebra 2

     Generation Theorem

     von Neumann Algebra 3

     Properly Infinite

     Purely Infinite

     von Neumann Algebra 4

    Tomita's Fundamental Theorem

    Borchers' Theorem

    Relation between Word and Sentence

     |

Functional Analysis

     |

     Functional Analysis 

     Baire's Category Theorem

     Equality and Inequality

     Space

     Functional

     Finiteness of Vocabulary

     Distance at Hypersurface     
     Functional Analysis 2

     Pre-Hilbert Space and Hilbert Space

     Orthogonal Decomposition

     Generation of Word
      |
Reversion Analysis Theory
      |      

      Reversion Analysis Theory      

      Reversion Analysis Theory 2

      |

Holomorphic Meaning Theory
      |

      Holomorphic Meaning Theory

      Holomorphic Meaning Theory 2

      |
Stochastic Meaning Theory
      |

      Stochastic Meaning Theory      

      Stochastic Meaning Theory 2

      Stochastic Meaning Theory 3
      Stochastic Meaning Theory 4
      Stochastic Meaning Theory 5      

      Stochastic Meaning Theory Conjecture 1
      Stochastic Meaning Theory Conjecture 2 

      |
Energy Distance Theory
      |

      Energy and Distance

      Heat and Diffusion
      Energy and Functional
      Finsler Manifold and Distance
      Word and Meaning Minimum

      Geometry of Word  

      |
Complex Manifold Deformation Theory
      |

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

     Map between Words
     Understandability of Language

     |

Language Manifold Theory

     |

     Moser's Theorem

     |
Topological Group Language Theory

     |

     Word Problem of Word-hyperbolic Group 
     From Finiteness to Infinity on Language     

     Boundary of Words 

     |

Symplectic Language Theory
     |

     Symplectic Topological Existence Theorem     

     Gromov-Witten Invariant     

     Mirror Symmetry Conjecture on Rational Curve     

     Isomorphism of Map Sequence     

     Generating Function (Text lost)    

     Homological Mirror Symmetry Conjecture by KONTSEVICH
    Structure of Meaning

    On Structure

    |

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

   Discreteness of Language

   |

Proto Algebraic Geometry Language   

   |   

   Language, Word, Distance, Meaning and Meaning Minimum
   |

Algebraic Geometry Language 
   |    

   Parts and Whole (AGL Preface)     

   Dimension of Language (AGL 1)       

   Synthesis of Meaning and Transition of Dimension (AGL 2)       

   Birth of Word, Synthesis of Meaning and Dimension of New Word (AGL      3)       

   Dimension Conjecture at Synthesis of Meaning (AGL 4)        

   Three conjectures for dimension, synthesis and reversion with root and      supplement

    |

At least three elements for language universals
   |
   Disposition of Language

   Distance of Word

   Flow of Language

   Papers for Language Dimension, In chronological order

   Preparation for the energy of language

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

The Tree is unfinished.

Tokyo
18 July 2015
Sekinan Study