#446 science book of AP-- INVERSES// physics by Archimedes Plutonium

[Archimedes Plutonium]

My first book where the title is just one word. Maybe my last and only book with a one word title.

Although I would have preferred to say REVERSE, rather than Inverse. Something about inverse that does not agree with me.

Anyway, a very important book, indeed, for I am chasing after that elusive but beautiful theory that SPACE = Magnetic Field + Electric Field. And now I think I am getting very very close.

I recently noticed in doing the revised Hertzsprung-Russell Diagram of this function that looks like Y--> 10- x. And if that were graphed in a square that was 10 by 10.

Now we roll the square to the right in a 90 degree roll and end up with a square where the function is now the inverse of what it was previously as that of Y--> x, the identity function.

|\

|___\  roll that square 90 degrees and you end up with 

|    /

|/___

the 90 degree roll causes the x-axis to become the y-axis and vice versa.

So then I look up to see what physics forces follow this Y--> 10 -x and come to find out that not only the Hertzsprung-Russell Diagram but the Coulomb force law and also the Ideal Gas Law of PV = nRT.

Now I look to see what New Ohm's Law when graphed looks like. And would you not believe it-- it follows Y--> x. New Ohm's law is different from Old Physics of V = i R for we include magnetic field and electric field as that of V = CBE.

So, well, I have the Ideal Gas Law when graphed follow Y-->10 - x the inverse of New Ohm's law graph of Y--> x.

For decades now, ever since I fixed Old Physics Ohm's law to be a true law of physics by replacing resistance with B*E, I have been vocal on the idea that New Ohm's law and Ideal Gas Law were both equal expressions of the math formula Volume = length*width*height.

But Inverses tell me a different story in that I cannot say Ideal Gas Law has the same formula as New Ohm's Law.

And during those decades, I could never seem to get Pressure be Voltage or get three variables on one side of the equation as in C*B*E. I could only have P*V on one side.

But now, seeing there is some form of Inverse relationship, if I multiply both sides by T temperature I get this.

PV = nR(1/T)

TPV = nR  or some other variant such as V = nR (T*P) looking more like New Ohm's Law.

Then I can begin to relate Voltage with Volume (or perhaps pressure) and relate temperature with E or B field or both as some form of resistance.

Which is worthy of a entire book devoted to Inverses.

AP, King of Science

#446 science book of AP--  INVERSES// physics by Archimedes Plutonium

[Archimedes Plutonium]

I must include this in my other book --- INVERSES.

So I made a square cutout of a used envelope to draw on. Pretending it is the 1000 Grid to graph the factorial function.

It crudely looks like this.

|         *

|      *

|* *_______

The factorial function sort of looks like the letter J, only not perpendicular.

Now, I rotate by 90 degrees my square cutout of a used envelope, from left to right. 

And now my x-axis is the y-axis and my y-axis is now my x-axis looking like this.

| *

|   *

|_____*__

Sorry, there are no letters in the alphabet that comes close to looking like that arc.

If we combine the two functions, one an inverse of the other in a form of addition such as Y_1 + Y_2

We end up with a function that is a straightline that looks like this.

______>
|

|     

|_________

The identity function of math is this.

|           *

|      *

| * _______

If we draw that on a used envelope square cutout and rotate from left to right by a 90 degree rotation we end up with this.

| *

|      *

|  ______*

If we combined these two inverse functions by addition into being one function Y_1 + Y_2 we end up with this.

  _______>

| 

|  

|  _______

So, what does this tell us about Inverse functions???

They are __not equal__. But they are duals in the fact that their addition becomes a function that is the maximum straightline height of the grid they are graphed in. So if I graphed the Factorial function in 1000 Grid with 1 to 6 where 6 goes to 720. Then the inverse added to factorial would be a straight line across the top of the grid as that of Y--> 1000.

Inverses functions are not equals to the original function.

AP, King of Science