Take a diameter, for this case we use 9 inches. To find a linear plane of an arc we would multiply the diameter by 2. Now 18 inches. We would continue to multiply each diameter by 2 for 18 expressions. In the final 18th expression there will be a linear plane within the arc of the circle equal to three of the original 9 inches.

 

Taking the diameter of the universe to be 18 billion light years, we use our formula in reverse, and divide by 2 for 18 expressions. This formula will continue for 9 expressions within the physical material universe, making 9 linear planes.

You need to be much more explicit in defining what you mean. What exactly is a "linear plane"? I mean, I know what a line is, what linear typically means, and what a plane is, but this combination of word doesn't have any meaning I am familiar with.

 

And, what exactly does doubling the diameter of a circle supposed to do? Besides being equal to 2d (where d is the diameter)?