Proof Of Afterlife Header Artwork
Introduction to Proof of Afterlife the second proof of afterlife, proof by awareness the first proof of afterlife, proof by birith the third proof of afterlife, proof by geometry the fourth proof of afterlife, proof by memory the fifth proof of afterlife, proof by information real world evidence of afterlife proof of afterlife, the conclusion

The Third Proof: Proof Of Afterlife By Geometry

It was October 1969. The weather was still nice but getting colder. By this time I had proof one and two, proofs by awareness and birth, behind me. I was sure that life didn't end at death. I'd seen too much to believe that.

However, I was in pursuit of a comprehensive proof of afterlife. I wanted to take it further. It wasn't that proofs one and two weren't correct. They were. I wanted something definitive. The next trip was a deliberate pursuit of a theory of afterlife. It was Friday in Ann Arbor, Michigan. I remember sitting in class watching the clock on the wall tick towards 3:00pm. I couldn't wait to get with my friend. We had a party to go to that night. Being young we had no qualms about doing crazy things. I was part of the Woodstock generation. This time, unlike last time, I made sure to bring along a pencil and paper.

mathematical proof of afterlife using geometry

As the drug took effect I was thinking about afterlife. I tried to concentrate hard. Then the apparitions appeared. The environment was becoming more complicated. A complicated environment, full of apparitions moving and multiplying, was a distraction. I couldn't think. I remember thinking; there is no way I can make any sense of this. Finally I was forced to give up. My environment had become so complicated that I couldn't do anything but experience it. Thinking was out of the question.

Soon, experiencing the environment was out of the question too. It became a matter of simply holding on. I was losing my grip on reality. I was drowning in complications. The apparitions were so vivid, numerous, and detailed that I was stupefied by their complexity.

As bad as things were, they just got worse. Each apparition was magnificent in its complexity and there were thousands of them in the environment. If you looked at once, it exploded into more complexity by growing facets. The complexity was building and there was no control. The apparition filled environment was boiling over. There was nothing I could do about it. I was scared to think about how this might end.

Then, when things were at their absolute worst, everything cleared up. It happened in an instant. One moment I was drowning in complications. Then my mind snapped. The next moment my environment was clear. I was back in a normal environment with no apparitions. All complexity disappeared.

What caused the apparitions to disappear?

Here is what I saw.

When you start out you are a point of view within the environment. You are sitting in the center looking out at the world. Then an apparition appears. The apparition is in your environment. So you are experiencing the environment plus the apparition.

Then another apparition appears. Then another. The apparitions become more complex and numerous. Your environment is becoming more complicated. As the environment grows more complex, it begins to become overwhelming. Everything is taking place around you. The complications are on the outside of the mind.

Then you back up in your mind. You goes from being a point of view within the environment to being the environment itself. When this happens, your mind absorbs the apparitions. The apparitions that were on the outside of the mind are now on the inside. Complexity was overwhelming to a mind that was a point. It becomes simple to a mind that is space. I could feel my mind expand from the center to the outer reaches of the environment. It went from point to space. As it did, complexity became trivial.

When I saw this I knew life is not going to end at death. It is going to do exactly what happened here. It is going to expand to the reaches of time and space. I've seen it first hand.

The human mind has two states. State one is the point of view within the environment. State two is the environment itself. Awareness can only be in one state at a time. During life, awareness is in state one. After life, awareness is in state two. We never see state two unless we experience out of body awareness like I did above. Once you see state two you know it is there.

When my mind transitioned, it went from state one to state two. When it did the apparitions were absorbed. State one is consciousness. State two is memory. The mind is both. We happen to see things from state one during life.

I make this sound easy. It's not. The period of clarity after the mind expands lasts a minute or two. Then the apparitions and complications begin anew. You can't think during this. You are not in control.

At the beginning of the site I explained that during the first trip something profound happened and I wanted to write it down. But I didn't have a pencil and paper. I didn't forget that. This time I came prepared with a pencil and paper. After the trip was over there two things written on that piece of paper. One were the words "Memory and Dimension work together and that's why things become more complicated." The second was a picture of a pyramid.

What made perfect sense at time time I wrote it down wasn't so clear afterward. It was up to me to piece together what I meant. It took some time to figure it out. Following is Proof Of Afterlife By Geometry. It explains exactly what I meant when I wrote those words down at the peak of that evening.

I. Geometry Is The Language Of Afterlife

1. How Geometry Is Used To Explain Afterlife

If you are looking for a definitive proof of afterlife, this is it. This section represents the equivalent of an equation or a proof. The resulting proof is so simple it is stunning. For me to walk you through this proof, we need a basic understanding of what geometry is and how it works. When I say basic, I mean basic. This proof does not require any math. It is proved visually. All that is required is an understanding of point, plane, space, and time.

Geometry has been around for a long time. Mankind's first civilizations occurred in about 8,000 BC. The origin of geometry can be traced back to 3,000 BC in ancient Egypt. The ancient Egyptians could calculate the area of a circle. They obviously had a pretty good grasp on point, line, and plane as the built the pyramids. The greatest pyramids were built around 2,500 BC.

The ancient Greeks developed geometry further. Euclid, who lived from 325 to 265 BC, is considered to be the father of geometry. He presented geometry in an ideal axiomatic form that became known as Euclidean geometry. Euclid lived in Alexandria during the time of Alexander the Great. Alexandria was noted for advanced learning and the most complete libraries in the world. It was a premiere center of knowledge at the time.

It was Euclid that formalized the concepts of point, line, and plane. Geometry is reality reduced to its simplest terms. Geometry provides the perfect building blocks for proving afterlife. Here are the basic concepts of geometry: point, line, space, and time.

2. Point

A point, in a geometrical sense, is location. Mentally you build your concept of a point by thinking of a small dot. Think of the smallest dot you can imagine as shown here:

Then take that dot and make it smaller by one half. Then take that dot and make it smaller by one half again. Now, take that dot, and push it to the limits of smallness. In a sense the dot no longer exists. It has no length, no width, and no height. It occupies no space because it is too small. It is just location. A point, within the context of this discussion, is this perfect geometrical point. Think of it as a tiny point of light within a dark universe as shown above.

3. Line

A line is like a point in that it has no height or width, however it does have length.

You can think of a line as a point that has been stretched in both directions. A line is a row of points, perfectly straight, and infinitely thin. If you looked at a line from one end, it would look like a point. A line is infinite in length but has no width or depth as shown above.

4. Plane

A plane is a slice. A plane has length and width, however it has no depth. A plane is a point that has been stretched in length and width but has no depth.

A plane is infinitely thin. It has no thickness, only length and width. It is perfectly flat, and infinitely thin. If you looked at a plane from the side, it would look like a line. Think of a plane as unlimited length and width as shown above.

5. Space

Space is the opposite of a point. Where a point is infinitely small, without length, width, or height, space is the opposite. Space has unlimited length, width, and height.

You can imagine space by standing outside on a dark night looking up at the starts. Imagine space as stretching infinitely in all directions. Space has unlimited height, width, and depth. Think of space as taking the sphere above and expanding it in all directions, infinitely, until is encompasses all of space.

6. Time

Time is often called the fourth dimension. Length, width, and depth, coupled with time, form our universe. All three concepts (point, line, space) exist in time. Time is generally not considered when talking about geometry. To understand afterlife we have to consider time too.

A point, existing through time, is actually a line. So to redefine a point within  the context of time, a point would be a point that exists for just one moment. It would flash and be gone. A point would have no length, width, depth - and it would have no duration. But it exists. It is location, within time and space.

Space existing through time would have unlimited length, width, depth - and unlimited duration. The definition of space, within the context of time, would be everything. It would encompass all length, width, depth, and time. It would have no beginning or ending, in space or time.

The concepts defined above - point, line, plane, space, and time - will be used to explain the mathematical relationship between conscious awareness and memory. This relationship proves afterlife. The equation is built using these perfect geometrical concepts.

III. Pyramid Geometry

1. Why A Pyramid?

Imagine yourself sitting outside, at night, under the stars.

Now imagine a pyramid. This is a perfect pyramid made from four geometric planes. The pyramid extends out infinitely to the limits of your universe. Place yourself - your awareness - at the apex of a pyramid. The sides of the pyramid extend out to reach the limits of your environment. The pyramid would look like this:

Diagram 1: The pyramid

So now we have a pyramid sitting in the universe with your point of view at its apex. The sides of the pyramid extend out to the limits of your surrounding space. Your conscious awareness sits at the apex. Hence the apex is located at the center of your universe.

2. Slicing The Pyramid With A Plane

Now we are going to take a geometric plane and make a horizontal slice through the pyramid as shown below. The horizontal slice intersects the pyramid forming a plane. The small drawing in the upper right shows the plane intersecting the pyramid. The large drawing shows the pyramid slice in perspective.

Diagram 2: Pyramid sliced horizontally

You can see how the plane slices through the pyramid. The intersection of the pyramid and slicing plane is shown in yellow.

3. Placing Two Boxes On The Slice

Now take a cube, exactly the size of the slice, and place it on the pyramid. The base of the cube sits exactly on the intersection.

The cube sitting on the pyramid looks like this:

Diagram 3: Box sitting on a pyramid

The drawing in the upper right shows the cube sitting on the pyramid precisely on the slice. The center of the cube sits precisely at the apex. The large drawing shows the cube in perspective sitting on the slice. Now were going to add a second cube, exactly the same size. Place it on the pyramid at exactly the same place. We now have two cubes sitting on the pyramid at the slice as shown above.

IV. The Concept Of Inverse

1. A Visual Representation Of Inverse

Inverse is a relationship that can exist between two things. For example, say you rent a music hall for $300. Then you sell tickets to cover the cost. If 10 people come, it costs them $30 each. If 100 people come, it costs them $3 each. The cost of the ticket has an inverse relationship with how many people attend. If few people come, the cost is high. If many people come, the cost is low. The cost of the ticket is inversely proportional to the number of people that attend. As one goes up, the other goes down.

We can have an inverse relationship in geometry too. To show this we have placed two boxes, of the same size, on a balance beam. The fulcrum of the balance beam is exactly half way between the boxes. The system is at rest as shown here.

It is important to FEEL the balance of the two boxes on the beam. Since the boxes are the same size, and the fulcrum sits exactly half way between each box, it stays in balance. The question is, what happens when we move the fulcrum.

2. Moving the Fulcrum

When you slide the fulcrum along the beam, taking it off dead center, the beam tilts and the boxes fall off. The system is out of balance.

Let's make keeping the system in balance a hard requirement. That means we have to adjust the size of the boxes to whatever they need to be to keep the system in balance.

As we move the fulcrum toward one box and away from the other, the boxes must change in size to maintain balance. It is important to feel how this happens. As the fulcrum moves toward on box, it needs to become larger. As it moves away from the other box, it needs to become smaller. Like the teeter-totter, moving away from the center makes you heavier. Moving in toward the center makes you lighter. If a heavy guy moves in, and a lighter guy moves out, the teeter-totter stays in balance.

We balance is fixed and box size is allowed to float, the boxes enter into an inverse relationship with each other.  As the fulcrum moves, one box gets larger and the other box gets smaller. Visually it looks like this:

The inverse of a pyramid

To get a feel for the concept of inverse I want you to imagine sliding the fulcrum back and forth on the beam. As the fulcrum moves, the boxes react in kind. The precise mathematics is not important. What is important is to see these boxes get smaller and corresponding bigger as the fulcrum slides in and out beneath them. See this as a fluid system, ever responsive to the position of the fulcrum. Now that you have an idea of the inverse relationship between the boxes, we place them into a simple equation.

3. Defining The Boxes As Inverses Of Each Other

A requirement of balance is that the boxes are inverses of each other. That is expressed mathematically as follows:

We start with the boxes being the same size and assign a volume of one. The equation reads, from left to right,

One divided by one, multiplied by one, equals one.

The system is in balance.

Now we are going to change the volume of the box from one to two. Now the equation reads,

One divided by two, multiplied by two, equals one.

The system is still in balance. The box on the left has been reduced from one to one half. The box on the right has been increased from one to two. The two boxes, when multiplied together, still equal one.

The boxes are locked into an inverse relationship. Their size will do whatever they need to do so the equation still equals one. For example, if we reduce the size of the left box by four, the right box increases by four. This inverse relationship holds as long as when multiplied together the answer is one.

With that in mind, we put the boxes back on the pyramid.


V. Moving The Boxes On The Pyramid

1. Consequences When Boxes Move

The illustration below shows two cubes back on the pyramid. The two boxes must maintain their inverse relationship. As shown, the inner box has become slightly smaller. As an equal and opposite response, the outer box has become slightly larger.

Diagram 4: two boxes on a pyramid

Look at the inset drawing at the upper right. The original plane is shown as a slicing line in orange. This was the original placement point for both boxes. At that time both boxes were the same size and same distance from the apex. They were exactly the same and occupied the same space. Now we have moved the plane up slightly toward the apex of the pyramid. The inner box stays on the plane. Keeping its corners on the pyramid, the inner box becomes slightly smaller. Since the inner box and outer box are invoices of each other, the outer box gets correspondingly larger. The inner box is reduced by one half. To compensate, the other box has doubled in size. The boxes stay on the pyramid and the relationship between the boxes still holds. This system remains in balance.

2. When The Inner Box Gets Close To The Apex

Now that you see how this system works, take the slice and move it up a little further toward the apex of the pyramid. As the slice moves toward the apex of the pyramid it takes the inner box with it as it goes. The inner box is reduced again by half. Correspondingly the outer box doubles in size again. As the slice moves towards the apex the inner box becomes smaller and the outer box becomes larger. The inner box is now one fourth its original size and the outer cube is four times its original size as shown here:

Diagram 5: Boxes becoming inverses

We have made two movements of the boxes. First we reduced the inner box by half. Then we reduced it again by half. Correspondingly the outer cube doubled in size. Then it doubled again.

Instead of moving in jumps, I want to think about movement. Take the slicing plane and start moving it slowly toward the apex of the pyramid. As you imagine this movement also imagine what it happening to the inner and outer boxes. As you move the slicing plane up toward the apex, the inner box is becoming smaller.

Correspondingly the outer box is becoming larger. The outer box is also becoming larger at a faster rate.

As you get close to the apex the inner box becomes very small. Simultaneously the outer box is reaching out through the universe.

3. When The Inner Box Reaches The Apex

Eventually the slicing plane reaches the apex. At that moment the inner cube becomes a single geometric point as shown here:

Look at the inset in the upper right. The slice has reached the apex of the pyramid. The pyramid has perfectly sharp edges being made up from four geometric planes. The intersection of the slicing plane and the pyramid is one geometric point. At this moment the inner box has no length, width, or depth but it does exist. It is sitting precisely at the apex of the pyramid.

To help visualize what a single point at the apex of the pyramid looks like imagine it as a infinitely small point of light. Mentally it is as if the inner cube has started to emanate light now. It has no volume and has been reduced to only position without dimension. Visually and emotionally the single point (the inner box) looks like this:

Diagram 6: The point on the pyramid

Our inner box has been reduced to a single point within a universe. Now that we know what has happened to the inner box, we have to imagine what has happened to the outer box.

4. Consequences Of The Outer Box

Remember the outer box is the inverse of the inner box. As the inner box is reduced by half, the outer box is doubled. The question new becomes:

Now that the inner box is a point without dimension, what has happened to the outer box?

Here is the answer:

As the inner box becomes a point without dimension, the outer box becomes dimension itself.

Think of this as the outer box expanding infinitely throughout space. When the inner box reaches the apex, the outer cube reaches outward at infinite speed through space to encompass everything. As the inner box took on its glow when it reached the apex, the outer box reached surrounding space and space itself took on the same glow.

The inner box is a point shining out into the universe. The outer box is the universe itself shining in at the inner box as shown here:

Diagram 7: Pyramid outside looking in

Look at the picture above. Imagine sitting somewhere out at the far reaches of the universe looking down at the apex of the pyramid as shown in the picture above. You are now somewhere in the outer box looking down at the inner box.

What you are seeing is yourself from the perspective of your memory. You are somewhere in your memory looking down at your awareness. The point you are looking down on is you. This is your position within time and space. It is your perspective during life. That little point of light at the apex of the pyramid is how you go through life. During life you never see anything different.

The geometry of afterlife works like this:

1. The inner box is your awareness
2. The outer box is your memory

Sitting here, from the perspective of your memory looking down at your awareness, is something you will never see during your lifetime. Only at the end of life will you see this perspective. This outer glow is the entire space around you. The outer box fully expanded is your memory.

VI. Geometry Of Awareness And Memory

1. Awareness And Memory In A Moment In Time

The key to discovering afterlife is looking at the present moment only. What I mean is look at awareness and memory now, in the present, while we are alive. Ignore, for the time being, that memory has depth in time. Concentrate only upon the present. When we approach afterlife this way the picture becomes clearer.

Think of yourself outside, at night, under a sky of the brightest stars you've ever seen. Looking out at the stars we are struck with the vastness of the universe. The distances to stars measured by light years. When you look at the universe this way it is easy to see that we exist at a fixed location within a vast universe.

In the diagram below I am showing the relationship between our location within the universe and the universe itself:

inverse of pyramid including time

On the left side of the equation is awareness. It is infinitely small. It is the smallest possible box, a single point.

On the right side of the equation is memory. It is infinitely large. It is the largest possible box, the environment itself. The two boxes, awareness and memory are invoices of each other. The two, when multiplied together, equal one.

2. Adding Time Into The Equation

This point-space relationship of awareness and memory holds true for every moment of our life. It is always in balance. This is how memory and awareness work together. This is how life works during our lifetime.

Now I want to add time into the equation. To understand what happens at the end of life we have to look at the dimension of time in addition to length, width, and death. Our awareness-memory equation, with time added in, looks like this:

inverse of pyramid including time

3. Take A Good Look At This Equation

As we live, we only see the left side of the equation.

We don't see the right side. That is happening in the background.

During life we are a point of view that goes from environment to environment over the course of a lifetime. We go through the world, challenged by the daily grind. We work, we sleep, and we travel. We go along making our way as best we can.

Unbeknownst to us, a similar thing is happening in the background. While we go about our daily business, our inverse (memory) is building a realm of unlimited length, width, depth, and time. We don't pay any attention to it. We don't even know it is happening.

As the point of awareness moves through the environment, the space of memory absorbs it all entirely. Over time, what you are left with is a huge realm of time and space, filled with everything you have ever experienced. Don't take my word for it. Look at the equation. The left is a point that lasts a moment. The right is unlimited space that lasts throughout time. The two are perfect inverses. This is how it is. This unlimited realm of time and space is what we have built during lifetime. We haven't manifested it yet. But it is there. It was always there. It will always be there.

4. Accumulated Memory At The End Of Life

What I would say about afterlife is that awareness expands to the fullest extent of the box it is contained in. During life we have contained within the smallest possible box, a single point at a moment in time.

At the end of life, we pass from the smallest possible box, to the largest possible box. We go from a point in time to all of space and time. When this happens awareness expands to the fullest extent of the box it is in. In this case, awareness expands throughout time and space. When I envision it I think about the Big Bang theory of the original of the universe.

Afterlife is not being a point of view within a big box. Awareness expands to absorb the realm. It becomes the realm. It is not as though something external needs to happen for this to manifest. It is already there. The realm of time and space exists. The ability of awareness to expand exists too. You can think of life as being confined into a tiny box. Once that confinement is removed, expansion ensues. Expansion is unlimited. It goes everywhere, including throughout time.

As you approach the end of life, rest assured that this kingdom exists. It is my hope that by going through these thought experiments, you know now that life is both awareness and memory, not awareness alone. Memories built up over a lifetime exist. There is an unbroken continuation of every moment going all the way back to the beginning. The realm of time and space has been most accurately described as the Kingdom Of Heaven. That is exactly what it is. It is an indescribably wonderful place.

This concludes proof of afterlife by geometry.

The Kingdom Of Heaven

Jesus, like me, was faced with the task of explaining these concepts to people. Ask yourself this, if you were Jesus and you knew what he knew, how would you impart your ideas to the world? Most people assume that the "word" just gets out. Trust me, it doesn't. Just because you understand, does not mean everyone else does too. It takes a visionary like Jesus to take a geometric idea and make it understandable to others. Jesus came up with two analogies to explain this knowledge. One is "Son of God." The other is "Kingdom of Heaven."

My understanding of Jesus comes from early Saturday Catechism. These were classes given by nuns of the Catholic Church to youngsters. I attended catechism from the age of three to six. The nuns instilled in me the basic concept of heaven through the teachings of Jesus. At the age of 17 I rejected these teachings. I became an atheist. Through the Theory of Afterlife I began to see that these teaching were correct after all. It became apparent, upon the realization of afterlife, that Jesus did know what he was talking about.

I have a slightly different concept of "Son Of God" than the consensus. The consensus believes that Jesus was the one and only "Son of God." My opinion differs. I believe what Jesus was saying is that "Sons Of God" applies to everyone, not just him. He was telling people that through death you become will God. As the son grows up to one day become the father, Jesus was saying that through death you will become God. As all sons grow up to become the father, we will all one day become God. I like the analogy very much.

In the days of Jesus Rome was the dominant empire. The Roman Empire encircled the entire Mediterranean Sea. Roman leaders had unlimited power. In many instances they insisted on being regarded as gods. In the midst of all this, Jesus was preaching that ordinary people, including slaves, will become God. When pressed on the issue, he couldn't denounce it because it was true. It is easy to see why an authority who insisted on being regarded as a god could not allow it.

In the days of Jesus there were 170 million people on earth. Today it is estimated there are 7.4 billion people. That means the population then was 0.22 percent of what it is today, roughly 500 to 1. The vast majority of people then didn't have conveniences. It was largely a hunter-gatherer society with a few small villages. Life was a hard. Here's what I see when I envision the days of Jesus:

Nothing. No roads. No towns. Imagine walking through the wilderness like this and coming upon the city of Rome for the first time. You are probably from a village with a few huts, in the middle of nowhere. There may be a few domesticated animals and a crop or two.

Then you come upon Rome. Never has a society had such a technological advantage over the surrounding environment. In the time of Jesus, Rome was about one million people. Rome had already invented concrete. Using concrete they constructed large temples, forums, and theaters. These weren't small either. They were towering structures, many faced in marble that surpassed anything in the world by a large margin.

Throughout the city the water flowed. Rome built aqueducts that carried water for miles into the city. Aqueducts ran through mountains and crossed deep valleys on arched bridges. Roman aqueducts transported water with a drop of as little as 3 inches over 1000 feet. Rome was a city of water. It was gravity fed from the surrounding hills into many fountains, sewers, and baths. What a sight that must have been?

Rome had roads. I'm not talking about dirt paths. I'm talking about paved roads. They ran throughout the empire. No one else had roads. Rome had a standing army that was, by far, the most powerful in the world. They also had leisure time. They had theater. They had sporting events.

Water flowing through the city allowed a million people to gather together for the first time. Rome had a sewer system that kept the city clean. Roman bathing was part of the culture. Their bathhouses were like temples. Romans enjoyed cold baths, warm baths, and hot baths. Baths weren't only for the aristocracy. Bathing was ingrained in the Roman culture. In the days of Jesus, in contrast to the rest of the world, Rome was good.

I'm pretty sure that in ancient Israel, they knew of Rome. I can just imagine the tales from people that had seen Rome; tales of magnificent marble temples, abundant food in the forums, paved roads, luxurious villas, large sporting events, and fountains with running water. Rome must have seemed like the city of Oz. It must have seemed like a magical place from another planet.

Jesus told people "You will inherit the kingdom of heaven." When people envisioned a kingdom, they envisioned Rome. The city of Rome, compared to the countryside, was uber good. Hard living in a village was in stark contrast to a leisurely existence in a Roman villa. It was that contrast he was getting at. The Roman proletariat led great lives. They played, bathed, and went to shows. The kingdom of Rome must have seemed like an awesome, wonderful, and magical place. The kingdom of heaven is an awesome wonderful, magical place of infinitely greater proportions. It is a place you want we to be and will be soon.