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JTfM Vol 1 No 1 2008 - ONLINE EDITION - Inclusionality Research

JTfM Vol 1 No 1 2008 - ONLINE EDITION - Inclusionality Research

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Superchannel—Inside and Beyond Superstring<br />

only the weight but also the size of a thing in motion. It is not different with light which as<br />

quanta is in transfigural outlook not a solid but flexible folds that are fast. Light can unfold<br />

very quickly to fold space to itself. In addition to compactness, a fold can also be flexible.<br />

Flexibility has to do with the degree of compactness of a fold. A compact fold takes longer<br />

to unfold than a knit fold.<br />

We go back to the point of classical mathematics and its number. The point is an atom.<br />

It was called the most indivisible part until it was discovered that this atom still contains<br />

other tiny particles. The thought of the atom containing other parts which are called particles<br />

originated from infinitesimals in classical mathematics. 1, which is big and discrete, can be<br />

broken into parts to become thousands of atoms which can be numbered as 1,2,3,..because<br />

they are small yet discrete. These parts can still be broken into fractional parts. In the language<br />

of physics, these parts, ½, 1/3, and others are definite further tiny parts which are<br />

stand-alone parts. These are called the quantum numbers. They represent the masses of parts<br />

of an atom which itself was originally regarded as the indivisible part of a thing until its parts<br />

were discovered.<br />

It is easier to get to the atom through the point and the number of classical mathematics<br />

which produces them than through a book of explanation in physics. The quantum 1 has<br />

all the characteristics of the counting number 1 of classical and modern mathematics. It<br />

stands for a particle that is a point that has a mass, therefore a point-mass. This 1 can be broken<br />

into its very smallest part until a stage is reached that it cannot continue. This is the stage<br />

at which the string comes in. Instead of a particle, a string is now introduced. A string has<br />

the shortest length or it is the least infinitesimal. This is the very stage in which the string<br />

replaces the particles as definite vibrations.<br />

The string has length. This length has a number. Like the infinitesimal of calculus, the<br />

string fears the zero. Its length tends towards the zero without reaching it, stopping as it were<br />

as a decimal with thirty-two zeros that ends with 1. The string asks the point-like particle to<br />

be seen as a vibrating string of the infinitesimal length. Alone it is one-dimensional. This is<br />

called the open string. Like an Euclidean line, it ends with points which are particles. The<br />

two ends can loop to become a circle. This is called closed string.<br />

So having said all this, how does a particle, the component of an atom, which could be<br />

a photon or quark, transform into a string? We get an answer from Alberto Güijosa:<br />

“The essential idea behind string theory is this: all of the different 'fundamental ' parti<br />

cles of the Standard Model are really just different manifestations of one basic object:<br />

a string. How can that be? Well, we would ordinarily picture an electron, for instance,<br />

as a point with no internal structure. A point cannot do anything but move. But, if<br />

string theory is correct, then under an extremely powerful 'microscope' we would real<br />

ize that the electron is not really a point, but a tiny loop of string. A string can do<br />

something aside from moving--- it can oscillate in different ways. If it oscillates a cer<br />

tain way, then from a distance, unable to tell it is really a string, we see an electron.<br />

But if it oscillates some other way, well, then we call it a photon, or a quark, or a ...<br />

you get the idea. So, if string theory is correct, the entire world is made of strings!”<br />

Yes, this is correct for a whole world of virtual reality made up of tiny bits and bytes that<br />

vibrate on their own, but cannot hold true for a natural world of dynamic relational holes in<br />

which all is flow!<br />

The string is fundamentally a point particle. This we shall explore in the next section.<br />

The string only helps to consolidate the discreteness of the point-mass at the quantum level<br />

with the addition of the condition that makes the line in Euclidean geometry. If open it has<br />

two endpoints which is what is required of Euclidean line. When it oscillates is loops back<br />

44<br />

Journal of Transfigural Mathematics <strong>Vol</strong>.1 <strong>No</strong>.1.<strong>2008</strong>

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