1

Sentence that appears aurora is expressed by integral on Riemann sphere.

Refer to the following paper.

2

Sentence has distance that is expressed by the height of trapezium on sentence plane.

Refer to the following paper.

3

Sentence has time that is expressed by the vector on the right or left side of trapezium.

| AB | = S・

**t**_{b-a }_{ }Here | | is distance between phrase A and phrase B, abbreviated to

**D**

_{AB}.

S is velocity of moving

**D**_{AB}.**t**

_{b-a }is time-lag of phrase A and phrase B. Each phrase generates according to its peculiar time.

Now the radius of Riemann sphere is

**r**. The angle made by vector**A**and vector**B**is**θ**.
Here

**θ**is Function (x_{a}, y_{a}, x_{b}, y_{b}), and any point (x, y) is on complex plane.**D**

_{AB}is expressed by 2

**r**sin

**θ/**2.

S is expressed by

^{2 r sinθ/2}/**t**_{b-a}.
Now when

**t**_{b-a }is unit time 1, S is expressed 2**r**sin**θ/**2.
S is variable by pointing word on complex plane.

So Dictoron’s velocity on Riemann sphere is variable.

Refer to the following papers.

**Tokyo October 28, 2006**

**Postscript January 25, 2008**

[Basis]

[References]

<Past work on multi-time themes>

Aurora Theory / Dictoron, Time and Symmetry <Language Multi-Time Conjecture> / Tokyo October 6, 2006

<For more details>

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