Excerpt for Today's Value of Pi is incorrect by , available in its entirety at Smashwords

Today's Value for Pi is Incorrect

Written by Dr. John G. Rose

published at Smashwords.com

copyright © May 15, 2018

Throughout the history of mathematics it has been found that infinity can be tricky, in fact, very, very tricky. And when working with infinity you must be aware that in three dimensional reality, infinity cannot exist between two points.

To prove this statement—the imagination, three dimensional reality, math, and logic will be used:

1. Let's consider two rocks in space. They start traveling away from each other faster and faster, but no matter how fast they go nor how long they travel there will never be an infinite distance between them. Picture this in your imagination.

2. For the second proof I will use Zeno's paradox, but I will use a different example than what he uses.

My stride is 3 feet from the tip of my toe on one foot to the back of my heel on the other foot. When I take the stride to move across the living room, I first have to move my foot one half the stride or 1.5 feet, and next I have to move one half the stride of the distance which remains or a total of 2.25 feet, and then I have to move one half that distance or 2.625, and then one half that distance or 2.8107, and then half or 2.90445, ad infinitum. Which means my foot is getting closer and closer to the end of my stride which is 3 feet, but I will never complete the stride because it has to go an infinite distance. But Zeno takes it a step further, and I'm sure with tongue in cheek he indicates that before I can reach half my stride I first have to reach half of the distance of half my stride or 0.75 feet, but I have to reach half of that distance or 0.375 feet, and half of that distance or 0.1857 feet, and half that distance or 0.090445 feet, ad infinitum. And this means my foot will never leave the floor. And therefore, he concludes, motion does not exist. "Motion is a figment of our imagination," he says. But we know motion is a reality, and I can walk across the floor. I can see Zeno, after his meeting with the other philosophers, going home and laughing his ass off. The solution to this paradox was not answered for nearly 2,500 years.

In conclusion, infinity cannot exist between two points in three dimensional reality.

With this in mind let's examine the value of pi.

How many times will the diameter fit on top of the circumference of a circle from the beginning of the circle around to the beginning of the circle? (For the purpose of this paper a point is marked on the circle and that is called the beginning of the circle and simultaneously the end of the circle.)

Pi is a ratio which supposedly answers this question as to how many times the diameter will reach around the circumference of the circle.

According to the laws of the relative and the infinite, the number 3.14159 ad infinitum cannot be correct. Since this number is infinite, it will never close the gap between the end of the third diameter and the beginning of the circle. Every number added to 3.14159, for example: 3.14159265, will get the final piece of the diameter a little bit closer to the beginning of the circle, but it will never reach it.

It is always important to distinguish what can exist only in the imagination from what exists simultaneously in the imagination and in the real world. Since pi is used to represent a real, material object, it cannot be infinite.

Numbers do not exist in Nature, but they can be considered a part of reality if they represent real objects. The number for pi cannot represent a real object simply because it is infinite.

The problem starts with the mathematicians who use infinity to find the ratio. The truth is the value for Pi has been determined by mathematicians who treat a circle as if it is created with an infinite number of points. But in three dimensional reality this is not true. If a perfect circle, made of wire, is reshaped into a perfect straight line, then it has a definite length and the diameter of the circle can be laid next to it three times with a little bit left over, which is also a definite length.

Consider ratios. A ratio is a proportional relationship. It compares values.

If pancakes are being made and the recipe calls for 3 cups of flour and 2 cups of water, the ratio is 3 to 2. If I use an infinite series on this ratio and get an answer of 3 to 1.999999 … , I'm going to use 3 to 2 because I live in a real world. The ratio of the circumference to the diameter is 1 to 3 and a bit more of a diameter, but both the circumference and the diameters are measurable with no infinity involved.

For ease of understanding, let's say the ratio of the circle to its diameter is 3.2.

If the diameter is one inch, then the circumference is 3.2 inches. This means the little bit left over is 0.2 inches. If the diameter is one mile, then the circumference is three miles plus 0.2 of a mile. This shows that every little piece that is left over from the three lengths of the diameter will be a different size when there are different sizes of diameters. However the ratio will be the same, but it will not be infinite because no matter how big nor how small the diameter there will always be a distinct measurement.

Not only the piece that is left, but also the complete distance from the beginning of the first diameter to the end of the little bit left over is a measurable distance and therefore not infinite. It is the same length as the circumference, which is also not infinite.

Let me reiterate. If a circle is constructed using a material such as wire, and we make the circle so the diameter of that circle is one unit, then as we lay it on the table for comparison, the exact ratio between the diameter and the circumference can be figured out in three dimensional reality. The circle, made of wire, is then reshaped into a straight line. The diameter can be laid next to it three times with a little bit more to the end of the circle. The difference between the end of the three diameters and the end of the circle is an exact length of the wire. This cannot be infinite, simply because infinity cannot be created between two points in three dimensional reality. Since that piece of wire cannot have an infinite distance it is logical to conclude that pi cannot have an infinite value. The little bit of wire from the end of the three diameters to the end of the circle is a real object and has a definite length. A tape measure could be used to measure that wire, which would be crude, or a micrometer could be used to get a more exact measurement, but no matter what method is used, the measurement is exact. The wire is a real, material object which can be measured, and therefore it cannot have an infinite value. It does not go off into infinity. And according to the definition of pi, which is a ratio, the measurement will always be the same no matter how big nor how small the circle. When we use a diameter with a length of one unit, it will result in a circumference of three and a fraction units. And this is the ratio. Using the current definition of pi the gap can never be closed. It can get closer and closer to the beginning of the circle, but it will never reach it.

Physicists, chemists, biologists, mathematicians, etc., can use the infinite pi value and get practical results, but only because the number is close enough to the real number. And also when pi is used it is shortened to a finite number, whether it be 3.14159 or 3.14. This procedure changes pi to a real and rational number—no longer irrationally infinite.

But mathematics is a strict discipline, and therefore this paper is pointing out that today's value for pi is not completely accurate.

I'm assuming the correct number for pi is 3.1416 because the numbers after 3.14159 are converging on 3.1416, but this is just an assumption with no proof. It is for the mathematicians to prove the correct number. And the correct number cannot be infinite. The gap has to be closed in a real situation.

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