1
Here is a cube that has 3 dimensions. Cube is topologically transformed to tube-ring. Tube-ring that is cut at maximum circumference transformed to cut-tube-ring that expresses 4 dimensional space in figure.
2
Generally cut-tube-ring expresses multi dimensional space.
Refer to the following paper.
3
Inductively the very non-cut-tube-ring is equal to cut-tube-ring that has expresses 2 dimensions in figure.
4
1 and 0 dimensional cut-tube-ring is emerged from logical inference.
5
0 dimensional cut-tube-ring in figure is regarded as minus dimensional tube-ring.
6
Thus minus multi dimensional space is expresses by cut-tube-ring.
7
Here the minus dimension is called to imaginary dimension.
8
Imaginary dimension corresponds with imaginary language.
Refer to the following paper.
9
Primarily imaginary language is supposed for religious usage of natural language.
10
Now the notion of imaginary language is expanded to general use of language.
11
Here minus 1 dimension is regarded as expressing imaginary lineation. Minus 2 dimensions is regarded as expressing imaginary plane.
12
The first dimension of each cut-tube-ring is expressed by cross sectional surface’s circumference.
13
The circumference grows from inner wall to outer wall.
14
Now minus dimensional cut-tube-ring has a time that is called imaginary time.
15
Time and imaginary time have hierarchy for their dimensions.
16
Imaginary time is ultimately supposed to corresponding with universe’s birth and probably language’s birth by analogy.
17
Language covers universe.
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