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<< That trampoline analogy is pretty good. But the next question would be...if I were to travel to the center of the earth, assuming it is hollow in this example, would there be a state of gravitational equilibrium, or would I fall "through" the earth? >>
It would depend on your velocity as you passed through the earth. If you were going fast enough, you would keep going and escape the earth's gravity all together. If not, you would eventually stay in one spot after a period of oscillations. >>
Well, let's say that there is a hole directly through earth, and it passes through the center, and that I am not moving faster than 17 miles/sec or whatever is needed to escape the gravity of earth. Once at the center point, you agree that I would be suspended in a state of gravitational equilibrium.
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I'm not sure I quite understand the rest of your post, but I'll give it a shot. Time is a dimension, just like the 3 space dimensions. Again, the problem is that we don't have a way to visualize 4 dimensions -- this makes understanding things like space-time curvature really hard. This is where the mathematics really come in to it, because the math doesn't care about the number of dimensions. >>
Yes, I know that time is a dimension, but there are only 2 more...space and energy -- matter is a state of energy. When talking about energy as a dimension, it is not particles of any kind. It is not photons, radiation, etc. Energy is a component of the universe, which is what fills the dimesional component of space. Time provides the container for space, as well as determining the properties of energy. Basically, by gaining control of the dimesion of time, you will have complete and total control of this universe. The structure of this universe is remarkably simple, yet the possibilites of what can exist within it are infinite.
TIME
SPACE
ENERGY-TIME
SPACE
TIME
The thing that people might find confusing or hard to understand is the answer to "What IS a dimensional component?" Think about it, what IS space. We perceive it as area to exist, but what IS it? What IS energy? We perceive it as a force that allows something to happen, but what IS it? And most importantly, what IS time?
<< As for the energy/matter equivalence part, that's basically right. Very small amounts of matter (mass) contain huge amounts of energy. The key concept here is entropy. The entropy of the universe is increasing. Since matter is more 'organized' than energy, eventually all the matter will be converted to energy (mostly as infrared radiation). This is called the heat-death of the universe. It is possible to convert energy back into matter, but you always have to increase the entropy somewhere else to do it, so overall the entropy still increases.
Of course, this is just my understanding after a few years of school. Your mileage may vary. >>
Matter is state of energy...to understand how energy and matter relate, time has to become part of the equation, because time is what allows energy to have its many properties within the dimension of space. Time allows the contigious energy within space flow at a given velocity within the dimension -- not a velocity within space, we are talking on a dimensional level here (what we cannot perceive). When the velocity of energy at a point or section of space drops below that set universal velocity of time, it becomes some form of matter. The lower the velocity, the greater the volume of space occupied on a universal level (what we could perceive). Suffice it to say that this process happens more than trillions of times per moment, and each result is different.
-= SsZERO =-