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.
Note that the total energy (positive mass energy + negative gravitational energy) of the traveling object always sums to zero as the object moves away from the universe.

Lets now examine this uncreation process mathematically:

In the above figure, dr is a tiny change in distance caused by burning a small amount of rocket mass dm. In calculus notation, dm means a small amount of mass as close to zero as possible but not zero. Also, dr is a small distance close to zero. We want to find an equation that tells us how the distance, r, changes as the rocket mass, m, decreases. To do this we will use the law of conservation of energy which tells us that the small amount of mass decrease, dm, must result in an equal increase in gravitational potential energy. The increase in gravitational potential energy is the resulting change in distance traveled, dr, multiplied by the force of gravity. So conservation of energy requires:

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:

energy conservation

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:

creation graph

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:
creation graph

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:

Uncreation of the universe

Creating the Universe by the attraction of gravity:

creation of the universe

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.

Next Section:

What is "nothing"?

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