Big bang and time I heard Carl Sagan talking about the Universe 15 Billion years ago, and the Big Bang.  He made the statement that it was the biggest explosion of all time (at first I thought this a subtle pun).  This leads me to my question.  What would time have been like at +1 "moment" after the big bang?  What I'm trying to ask is, and I hate to say it because I'm afraid I'll sound foolish, did time flow at the same rate?  Wouldn't all that mass in one place have distorted space/time (and why didn't it "rip" it)?
If I were inside of that mass with a stop watch, I'm guessing I wouldn't have been able to measure a difference because time would have effected me the same way as it effected all the other space/mass in the area.  I'm guessing I would have to have something inside (the initial Big Bang mass) and something outside measuring time and see if there was a difference (intuitively this feels weird to consider, could I actually place something "outside" the "Big Bang mass").
Maybe I've said too much, or made the question too complicated.  I apologize if this is the case.
Update
A black hole is a lot of Mass collapsed into a small space.  I believe that as mass increases time dilation increases.  I remember hearing that if you fell into a black hole, you'd never experience the last second of your life...
If this is true of black holes, how did time pass in the mass/energy that is responsible for the big bang?  As the big bang occurred, did time speed up with the expansion of the universe?  I'm trying to explain what I'm getting at by asking more questions related to what I was asking.  I'm trying to understand what time itself looked like.  As I understand it time prevents everything from happening at once.  If time was a line, were the ends smashed together into a point before the Big Bang ?  Maybe as mass/energy expanded the "time line" expanded too?
 A: In the context of FRW cosmology, there is no difference in the rate of time between the epochs of the evolution of the universe. You can see that from the form of the line element
$$ds^2=-dt^2+a(t)^2\gamma_{ij}dx^idx^j.$$
That is a result of the symmetries that you assume for the matter distribution (homogeneous, isotropic) and the choice of observers that you make. So the observers that follow the expansion of the Universe, which are the galaxies more or less, perceive the same time wherever and whenever they are. The cosmological time is the proper time of all the comoving observers, as it is evident from the line element.
In the case of a Schwarzschild metric and static observers
$$ds^2=-(1-\frac{2M}{r})dt^2+(1-\frac{2M}{r})^{-1}dr^2+r^2d\Omega^2,$$
it is the factor in front of dt that makes the difference and you have different time rates for observers at different positions.
There is one more point. Someone mentions the redshift and the perceived difference of the rate of time for faraway objects. That would appear to contradict what I am saying, but it isn't. The redshift effect is an observer symmetric effect. Like in the case of SR where you have two inertial observers with different velocities and each of them thinks that the others time runs slower, when both of them actually experience proper time. That is very different from the case of the static observers near a gravitating object, where there is no such symmetry. The clock of the observer that is at bigger r runs faster than the clock of the one that is at smaller r.
A: Here is a sense in which this can be answered a bit unambiguously--it is a known effect that gravitational fields both dilate time, by a factor $\sqrt{1-\frac{2\,G\,M}{c^{2}\,r}}$ and redshift light waves by that same factor.  
It is also known that cosmological effects redshift gravitational waves.  This time, it is done by a factor of $a(t)$, the so-called 'radius of the universe'.  For example, the cosmic microwave background radiation was believed to have been radiated from a surface whose temperature (and therefore, emitted wavelength) is roughly equivalent to the surface of a hot star.  It is a matter of simple algebra to find a value of $\frac{M}{r}$ for which the two effects are roughly equivalent, and, if you wish, you can think of this as describing a "different rate of time flow."
To my knowledge, there really isn't a useful reason to do this, though.
A: *

*First, let us suppose you have the energy to travel at any speed you like. The only restriction you have is that you cannot travel at the speed of light, because you would need infinite energy, and even though you have infinite energy, you cannot apply infinite energy if you don't have infinite time to apply it.


So you accelerate in a ship let us say at 0.999C. Then you escape in a pod with infinite energy again from the ship that is already travelling at 0.999C. And you are leaving earth, by the way.
The question: Can you double your speed?
In other words, if you measure your speed from the escape pod, can you measure twice the speed you are travelling in the ship?
The answer is YES!!!
You can always double your measured speed. Even though there is a speed limit, namely C, measured from earth, the ship that is travelling gets its clocks stopped, so when they measure the speed, they all see an increase of speed.
Eventually you can get to the other side of the universe in a second, if you have enough energy and time to apply the energy for increased speed.


*We all know that in a black hole, the time stops at the event horizon.


This means that if you fall into a black hole, your watch will be completely stopped when you enter into the event horizon, but it doesn't mean you will stop moving towards the center of the black hole.
Actually, you continue moving and you accelerate towards the center in free fall.
The interesting thing is that the gravitation is making your clock go slower. When you enter the event horizon you watch is already frozen, but time can only move backwards once you are inside the event horizon.
This seems contradictory. Since you are falling and therefore moving inwards, since your clock is moving backward, you would see that instead you are moving far away from the center, as in a big bang.


*Inside the black hole, if you try to move back out of the black hole using the technology mentioned in 1, you can always increase your speed. but you cannot escape the black  hole. The reason is that you can never reach the event horizon, even though from your point of view you can accelerate and double your speed every second, from the point of view of an external observer, you can never reach C, and therefore you can never reach the event horizon.


In other words, you can see that you can travel fast a lot of space, but the event horizon has moved to infinity, so a new universe has been created inside the black hole, avoiding you from ever reaching the event horizon.
