dragon04":ao0bhldi said:
Bear with me here. Using the balloon analogy, let's assume that our balloon gets sealed, but with "some" air molecules trapped inside it. Or more accurately, a quantity of air molecules equal to the ambient air pressure outside the balloon.
There are to ways to "inflate" that balloon. One, we can ADD air to it, thus increasing the "internal pressure" relative to the ambient air pressure outside the balloon, OR, we can expose the balloon to a vacuum. In either case, the balloon "inflates".
Granted, in a vacuum, the balloon will only inflate to a level that describes the interaction between hard vacuum and the tendency for trapped air molecules to travel to that vacuum inside the vessel (balloon). IOW, for every air molecule, the balloon will inflate to some predictable degree.
The balloon itself is doing nothing. The "outside force" of hard vacuum is pulling trapped air molecules towards it based on both volume of trapped air and the elasticity of the balloon. Now. We live on the balloon. See what I'm getting at?
We know that Gravity is an extraordinarily weak "force" compared to the other forces. If we try to unify those forces, then gravitational attraction may have to come from some dimension "outside" our 4 dimensional space-time. That is, unless you don't feel that Gravity has to be normalized with respect to the other Forces. In that case, one can conceive a Universe being "pulled apart" as opposed to being "pushed apart".
I don't have the math or lingo to explain it better than that.
You are carrying the analogy too far. I was using the balloon analogy in order to illustrate the concept of a manifold and of "compactified dimensions". Those are purely mathematical notions.
The balloon analogy is useful for illustrating the notion of a manifold, and for certain kinematics notions, for instance noting that all points move directly away from one another no matter the perspective or which point you choose to represent the observer. It is completely worthless in terms of representing the actual mechanisms involved in the expansion of the universe.
You need to be careful with the statement that gravity is an incredible weak force compared to the other forces. It is simply not true, despite the fact that it an often repeated statement. What is true is that if you look at the force of electric repulsion between two electrons, that force absolutely dwarfs gravity, and both forces follow inverse square laws. A similar comment applies to the repulsion between two protons, though the ratio is quite different because the mass of a proton is so much larger than the mass of an electron. It also applies to a proton-electron pair. But the gravitational force between two neutrons is hugely greater than the electrostatic force, since the neutron is neutrally charged. If you consider the strong force, then the situation is still different. The strong force increases with distance, sort of like stretching a rubber band, hence decreases as things get closer together. But at VERY small distances (small enough that what I am describing is rather speculative and not really known) the strong force should be very weak, while the gravitational forces increase with decreasing distance and therefore could be stronger than the strong force.
More importantly, the gravitational force is always attractive and depends solely on mass, charge being irrelevant. So for bodies that have significant mass and are charge-neutral at large scales, gravity is MUCH stronger than the electric force. That is why you don't go flying off into space. On the other hand, electric repulsion at a small scale keeps you from falling into the earth (there are some quantum mechanical effects here related to the uncertainty principle as well).
The problem with unifying gravity with the other forces does not seem to be the need for unseen dimensions. It is a problem with the inability, thus far, to formulate a quantum theory that does not result in infinities that cannot be handled through the process of renormalization. That in turn seem to stem from problems with the proposed particle called a graviton that would carry the gravitational force. The graviton should have the property of being able to interact with itself, and that results in a theory that is not renormalizable, hence a theory that predicts nothing but meaningless infinities. An awful lot of really good physicists have broken their pick on that problem -- there is a book, the
Feynman Lectures on Gravitation tht basically shows Feynman's failed attempt. Feynman was as good with quantum field theories as anyone, and his failure ought to convince anyone of the high degree of difficulty associated with the problem of quantum gravity.