In article <firstname.lastname@example.org>, Archimedes Plutonium <email@example.com> wrote:
> On Tuesday, July 30, 2013 12:41:39 AM UTC-5, Archimedes Plutonium wrote: > > On Sunday, July 28, 2013 2:49:45 PM UTC-5, Archimedes Plutonium wrote: > > > > > On Sunday, July 28, 2013 2:31:18 PM UTC-5, Archimedes Plutonium wrote: > > > > > > > > > > > In this old post of 2010 below, I am going to invigorate it, by new > > > > material, learned from doing True Calculus. I am keeping the idea of a > > > > "stripe covering of a sphere surface" but I am going to inject it with > > > > the limitations of Calculus. The limitations that distance results from > > > > the fact of "empty space" between two neighboring points. So that if > > > > distance is empty space and that speed is distance divided by time, > > > > what is time? Well, time is nothing physical but merely the counting of > > > > points traversed. > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > So in 10 Grid where 10 is pretend infinity borderline and all the > > > > numbers that exist are 0, .1, .2, .3, . . 9.8, 9.9 and then finally the > > > > last finite number 10, that distance is the empty space between points > > > > and that time is just the number of points covered. So speed in New > > > > Calculus is dy/dx, where the dx is time and that time is a number of > > > > points traversed. > > > > > > > > > > > > > Now the chapter on John Bell's inequality with superdeterminism is coming > > up soon. But here I am anticipating that chapter. Remember "spooky action > > at a distance", that when we send two connected light beams to the opposite > > side of the Cosmos and alter one of them, then the other beam automatically > > changes itself, even though it is far away and a faster than light speed > > would have to signal the change. Remember that? Well, here I may have a > > common sense explanation. > > > > > > > > Have you ever wondered why the speed of light is so puny small of a speed? > > Of course, to those not in science, such a question would never dawn on > > them and to many in science, the speed of 3*10^5 km/sec is awfully fast to > > them. But to those of us in science that thinks of science everyday, the > > thought comes to us, of how terribly slow is 3*10^5 when the cosmos has > > galaxies separated by millions of light years. If we were the Builder's of > > Cosmoses, and had to build a speed of light as the maximum speed within the > > cosmos, would we end up with such a tiny speed of 3*10^5 km/sec? No, we > > would not. We would look at the borderline of finite to infinite and model > > our speed upon that huge number which is 1*10^603. So the Speed of Light > > should be something of 10^200 km/sec. > > > > > > > > However, unless we never understood what the meaning of Space and Time was > > in a coordinate system. > > > > > > > > The number pi needs not be a large number because it is a ratio of the > > circumference divided by diameter. So that the Speed of Light can also be a > > small number if it were a ratio between two parameters, the one of distance > > and the one of time. > > > > > > > > So, when we have a Grid system such as the 10 Grid and if we take the empty > > space between number points as distance and we take the counting of number > > points traversed in that distance we have a dy/dx which is a speed. And in > > 10 Grid if we were the speed of light going from coordinate points (0,0) to > > (.1,0) we would have traveled a distance of .1, and covered two points in > > the grid for a time of 2, so our speed is .1/2 = 0.05 which is not even a > > number in 10 Grid. However if we traveled from (0,0) to the point (.1,10), > > then our distance is slightly more than 10 and our time of travel is still > > 2 since we covered two number points. And so our speed would be 10/2 = 5, > > and both speeds having the same time involved. > > > > > > > > So, in this sense, we can have the Bell Inequality with a speed of light so > > tiny in a large universe of huge distances, yet where light can be here or > > there instantaneously, even though its local value is the puny 3*10^5 > > km/sec. > > > > > > > > AP > > Alright, in the above I think I have enough information to give a reasoning > of what the speed of light is, in physics as a ratio between distance and > time. Just as pi is a ratio between circumference and diameter regardless of > the size of the circle. This would make sense for why the speed of light is a > constant, just as pi is a constant regardless of size of circle. And light is > always the same value regardless of what frame of reference you measure it > in, because you measure the ratio of two physical entities. > > So what is that ratio of distance divided by time for the speed of light. > > There is a math textbook titled "Mathematics: A Human Endeavor" by Harold > Jacobs, 1970. > Now in that Jacobs text on page 291 is a picture of a logarithmic spiral > inside a rectangle of whirling squares. It is probably on the Internet > somewhere, but I want the student or reader to photocopy that page of Jacobs > and then get a piece of flexible wire, and cut the wire of a length that > matches the radius as shown on that page of length 55. Now, three and a tiny > bit more of those 55 lengths should be as long as two of those arcs in the 55 > square shown, (that is a semicircle). Now, however, using that same wire > track down the length of the wire that it takes to cover the 55 square and > the 34 square and finally the 8 square, note that the 8 square has to be > extended over to the right inside the 21 square. > > What the student or reader should find is that it takes roughly 2.71 of the > wire to cover that arc. > > So here we learn best meaning of the number "e". The number "e" is pi in > hyperbolic geometry where circles are not closed but are open and spiraling > outwards. In Elliptic geometry, a circle is closed and its circumference is > pi times diameter. In Hyperbolic geometry, circles are log spirals that are > open, and it is "e" that relates the diameter of the log spiral with the > circumference. > > Now that is a technical understanding, but the deeper meaning, that takes > time to settle in, is that Geometry is just Euclidean Geometry and that > Elliptic and Hyperbolic geometry are not independent, stand alone geometries. > Much like in physics, a particle is a wave and you cannot separate the two. > > > So the pi constant is the ratio of circumference divided by diameter....
* Did you know that pi is also the ratio of log(-1) to sqrt(-1)?
Log(-1) and sqrt(-1) are both imaginary, and yet their ratio is pi.
earle * (Discovered by Augustus deMorgan in about 1850.)