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Road to Star Ocean

This is the latest version.

By Hidefumi Kubota

 

ŸChapter 1: Possibility of super lightspeed flight (special theory of relativity and my theory on the space)

 

žMinus-world and imaginary number

 


y1z

 

 




 

According to the special theory of relativity, y1z is formed. It is said the fact that inside in the root number of y1z becomes minus and makes a imaginary number when v becomes bigger than the velocity of light c is one of the bases which make the super lightspeed flight impossible. Because imaginary numbers cannot exist.

Is an imaginary number actually a number which cannot exist? First, I think about so-called real numbers. Real numbers are based on matter in our world. Therefore, supposing that matter is positive, all real numbers are positive, too. Then, I think about minus numbers |1 and so on. They are nothing but numbers you put minus marks on real numbers for your calculations. Resultingly, the real numbers, both plus numbers and minus numbers are all positive numbers based on matter.

Well, what are negative numbers against the real numbers which are positive? I think they are imaginary numbers. Imaginary numbers are the numbers which become positive when squared. In our positive number world, all numbers become positive when squared. However, it is logical to suppose all numbers in a negative number world become negative when squared. In the negative number world, the imaginary numbers do exist and become the real numbers in the negative number world. The imaginary numbers are essentially negative numbers.

Well, does the negative number world exist? As basis to support the existence of the negative numbers, antigravitational matter can be thought of, whose repulsion works to matter (There is a possibility that so-called antimatter such as antiproton is antigravitational matter). Electric force and magnetic force have attraction and repulsion. Gravitation acts between matter and matter. Equally gravitation acts between antigravitational matter and antigravitational matter. Therefore, I think repulsion acts between matter and antigravitational matter. I think the world of this antigravitational matter is the negative number world. In our world, the antigravitational matter is not found, because the repulsion worked in the process of  space forming and the antigravitational matter has formed its unique world apart from our matter world. And, there is no basis to deny that this negative number world was generated in the process of space forming and the very existence of the antigravitational matter world makes it possible to think the whole world is symmetrical. As long as the structure of the space is pending, I think such assumption is not forbidden.

I try to consider the history of the space from the relation between matter and antigravitational matter. At the beginning of the space, matter and antigravitational matter were in minimal space. In this space, the repulsion which acted between matter and antigravitational matter was extremely strong, worked as an unstabilizing factor, and made very big power to expand space. From this, inflationary space is explicable. Then it is unnecessary to consider that the negative pressure occurred in the space of supercooling condition and resulted in the inflation.

When the expansion of the space has moved ahead, matter and antigravitational matter were scattered into each unique spaces. And as they existed in the maximal space, the repulsion and the gravitation intersected and worked as a stabilizing factor.

Hereinafter, I call our world of matter "Plus-world" and call the world of antigravitational matter "Minus-world".

 

 

 

 

 

y2z

 

y3z

 

 

 

 





 

 

If imaginary numbers are real numbers in Minus-world, what do y2z and y3z in "v>c" mean? y2z is a formula about matter. But it is difficult to think matter converts into antigravitational matter. And matter follows the nature of its peculiar time and space. Therefore, y2z means the existence of matter in Minus-world. In other words, at super lightspeed, matter can shift into Minus-world. y3z means time in  Minus-world passes on the matter of super lightspeed in the negative world.

Incidentally, Dr. Hawking admit imaginary time. As long as physics is the science which handles existence, it means imaginary numbers do exist. Also, if the existence of Einstein's space clause is admitted, I think it means the existence of the repulsion of antigravitational matter in Minus-world.

 

žRush into Minus-world

In Minus-world, super lightspeed flight becomes possible. Well, by what means can you rush into Minus-world? They think there is a wall that our mass becomes infinite when our speed approaches the velocity of light.

 

@y4z

 

@@y5z

 

 

 

 

 

 

 

 

 

 







 

However, I discovered y1z can be integrated by the speed at the section from 0 to c. Since there is a formula y4z, y5z is available. This integration has a definite answer, and that means infinite mass can be realized by giving the mass definite impulse ( force ~ time) of ƒÎmc/2. By this, I think the wall of infinite mass is cleared.

Suppose speed of a spaceship approaches lightspeed and mass of the spaceship becomes infinite by giving impulse. You can think increased mass is used for rushing into Minus-world because mass is equivalent to energy. It is possible to think you can go to another world by using infinite energy, too. Also, by Lorentz's shrinkage, it is possible to think that our size becomes 0 and passes through the wall between two worlds.

I try to think about this from the structure of our world. The structure of our world is pending. But, it is clear that the space can have warps according to the theory of relativity and so on. I think our world is non- Euclid where parallel lines cross. From macroscopic point of view the Newtonian dynamics is applicable, while from microscopic point of view the quantum mechanics is applicable. On the other hand, Euclidean geometry is applicable in human size world, while non-Euclidean geometry is applicable in space size world. Then, destination where crossed parallel lines go to is Minus-world. You can think it means spaceships rush into Minus-world when they advance straight in this way. Cf. Figure 1.

 

Figure 1

Then, if supposing space is warped, a spaceship in deep space does not go straight if it moves with uniform velocity. You need to give force to make it go straight. For this purpose, you should give the impulse of ƒÎmc/2.

What relation do Minus-world and Plus-world have? Since Minus-world is the world of antigravitational matter and symmetrical world to Plus-world, it can be sufficiently thought of that Minus-world is the world of shadow against the positive world. The world of shadow is assumed by superstring theory, too.

 

 


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