The Mathematics of Creation
We will explore the math of creation by actually exploring the math of uncreation. That is, how the universe can be uncreated mathematically. Once the uncreation is understood, the creation is just the time reversal.Recall that the universe is made from one ingredient. This ingredient is energy. We will now explore how the energy of the universe can be uncreated. Einstein's famous equation, E=mc2, tells us that mass is concentrated energy. What if we used the mass energy of a rocket sitting at the edge of the universe as fuel? As the rocket takes off, the mass energy of the rocket decreases as the rocket travels away from the universe. How far could the rocked go before using up all its mass? The answer to this question can be applied to any object in the universe having mass. Any object could, in principle, use its mass as fuel and uncreate itself as the mass is used up. Recall from previous sections that mass energy is positive while gravitational energy is negative. As the positive mass energy becomes zero, the negative gravitational energy also increases to zero. The object is becoming uncreated as it travels away.
Lets now examine this uncreation process mathematically:
Force times dr (increase in gravitational energy) minus dm times the speed of light squared (decrease in mass energy) must be equal to zero.
We can state this mathematically as:
The force from Newton's law of gravity (where G is the gravitational constant) is:
By substituting the second equation for force into the first equation and solving for dr divided by dm we get:
This equation gives us the slope of the r versus m graph for any value of m and r. Note that as m becomes small and r becomes large, the slope becomes very steep as shown below:
Some Observations:1. The above graph shows us that it is possible for two small masses separated by a very very large distance to come together under the force of gravity and become large masses.
2. Consider the following thought experiment: Separate the mass of universe by using the mass of each object in the universe as fuel. Keep separating each object until the total remaining mass of the universe is nearly zero. Reverse this expansion and a universe can be created by the attraction of gravity. This thought experiment is shown in the next two images.
Uncreating the Universe using mass energy as rocket fuel:
Creating the Universe by the attraction of gravity:
Final Thoughts:The math shows us that two very large objects, using up their mass energies as fuel to gain a great distance from each other, can be turned back into very large masses as gravity pulls them back together again. Thus, two objects of small mass separated by an immense distance have the potential to come together as large masses under the force of gravity.
It seems possible that our universe could be the result of masses coming together from a previous expansion of a mother universe. It seems that the random motions of distance objects in this mother universe could cause some of the objects to come together under the force of gravity creating a multiverse of baby universes.
What is "nothing"?