**Aaron wrote:****Arkain101 wrote:**- BAAAH!!!

The power went out while I was constructing a post.. I hate that.. lol...

Now I don't have the patience to re-write it, so I will just compress it.

I was working on a principle:...

Sorry but I didn't really understand anything after the word principle.

And I thought Wilber's four quadrants were confusing.

Lets, imagine a spaceship.

Basically, you need a force to stop the ship. So, we imagine a set of rockets on the ship.

Momentum is the mass(weight) multiplied by the speed(velocity).

Lets say the ship is moving 100mph.

In order to stop, it needs to fire a force in the opposite direction. It turns out the amount of momentum the spaceship has as it is moving (relative to a location at rest of course) is the same amount of momentum that must be fired in the opposite direction to stop the ship.

After the ship has stopped, you can picture, the gas from the rockets, flying through space at a very high speed.

This is the conservation of momentum. The ship stops, but momentum can't be destroyed, it gets transfered to the exhaust gas.

It turns out that the 20lbs of exhaust gas, (if we were to capture it, and put it in a box) has the same amount of energy at the speed it is traveling (some 30,000mph) that the ship had moving only 100mph.

[This is the conservation of energy.]

**NOTE: In the above case, the momentum is conserved entirely in the trajectory of the gas (assuming it travels in a strait line)**

Now, if a ship tries to turn 90 degrees, it can do so without speeding up, or slowing down.

It only has to aim its exhaust perpendicular to the direction of travel.

It turns out that the amount of exhaust thrust required to accomplish this task is (in physics theory) precisely the same amount of thrust required to make the ship stop!

However, during a curved path, the exhaust gets shot out in different directions, as the turn progresses.... shooting out a wave of gas, as opposed to one stream.

After the turn is complete, the ship has not sped up or slowed down. And the exhaust gas is traveling in a 1/4 of a circle type of wave:

If we tried to capture all the gas, we would find that, because it is all traveling in different directions, we can not treat the total mass of all the gas as on object traveling in one line. Instead, we have to treat the momentum as a wave, traveling outwards, not as a particle, moving along a strait line (vector).

**NOTE: In the above case, the momentum is conserved entirely in the trajectory of the ship (assuming it travels in a strait line)**

If we tried to capture all of that gas and bring it to together at one point and put it in a box (to behave as one body of mass) we would find that we would have to stop the gas to bring it all together, and it would no longer contain any momentum.(for the most part), it would all remain in the ship.

(those ____\ shapes are arrows)

Therefore, everytime we turn the ship 90 degrees, a value of energy equal to the energy of the moving ship, is dispersed like a wave.

So:

*90 degree turn gives us an equal energy value of the moving object (factor of 1)

*180 degree turn gives us a energy value two times the moving object (factor of 2)....

*270dgrees = 3 times

*360dgrees = 4 times.

360 degrees equuals one full cycle, one full rotation.

One full rotation ejects a value of energy 4 times the value of the energy contained in the moving ship.

What is the energy of the moving ship?? you might ask?

Its how much work it can do, if it were to crash into something. Work is the amount of force that can be applied over a distance.

Because the speed of the ship never changes as it turns, its energy value remains the same, and the exhaust must eject the equal value of energy to make it turn 90 degrees.

therefore the full value of energy is devided into 90 degree chunks, or quadrants.

This principle (which is like a law that must be obeyed) should thus apply to even the nature of of the smallest objects in reality like atoms and electrons.

Althought I simplified this dramatically, since, in order for the ship to eject energy in the form of moving exhaust, it must lose mass.

Because of this things get more complicated..