posted on May, 20 2008 @ 01:43 AM
Someone, I forget who, posted something about how the phrase "the Alpha and the Omega" reminded him/her of the law of the conservation of mass. This
is not really a reply to that post, but it is the inspiration to the ramblings that follow.
The phrase "the Alpha and the Omega" can be translated (interpreted may be a better word) into the basic equation of a circle.
For a circle with a center ( H , K ) and a radius R :
( x - H )2 + ( y - K )2 = R2
If we were to translate the term "Alpha" into the domain variable x, then the term "Omega" would designate the range variable y.
Since "Alpha" denotes a beginning and "Omega" denotes an ending, it becomes easy to assume that "Omega" is dependent on "Alpha." If the phrase
were being translated into something like a linear function, then this assumption would be OK. A linear function, however would not be able to
correlate with the law of the conservation of mass. The best way to incorporate the law of the conservation of mass would be to apply some integral
calculus; and since the integral of a linear function is simply a constant, there would be no ratio of proportions to sufficiently conserve mass. The
relation between "Alpha" and "Omega," along with a simultaneous correlation with the law of the conservation of mass, would best be described by a
conic section, like a circle or ellipse. There is a problem, though. A circle is not a function and therefore cannot be integrated. If the circle were
to be split in half, though, then each half, or parabola would then be able to be integrated. In effect, the circle (which is not a function) is
divided to create two seperate parabolas (which are functions); with one parabola existing as a function of the other. We now have our conic sections
needed for the law of the conservation of mass, but expressed as a linear function with the domain and range variables each consisting of a quadratic
So what? Well, now the phrase "the Alpha and the Omega" can be translated into a more suitable linear model without losing any correlation with the
law of the conservation of mass, which is inherit within the domain and range variables.
"Alpha and Omega" nonsense..
The quadratic function x2 takes the shape of a parabola when graphed out. The derivative of x2 is the linear function 2x. So then, the function 2x
marks the instantaneous rate of change of the function x2.
The quadratic function -y2 takes the shape of a parabola when graphed out. The derivative of -y2 is the linear function -2y. So then, the function -2y
marks the instantaneous rate of change of the function -y2.
The vertex of the function x2 is -0 / 2 = 0
The vertex of the function -y2 is -0 / -2 = 0
For a circle with a radius R and a center at (0,0) :
( 0 - x )2 + ( 0 + y )2 + R2
or y2 - x2 = R2
The phrase "Alpha an Omega" is not a circle. We need to split up the two terms into conic sections in order to allow integration and account for the
law of conservation of mass. Two parabolas alone, however, do not make a circle. They each keep going in their own direction and lose continuity at
the points where they intersect each other.
So the phrase "I am the Alpha and the Omega" is incorrect. This would imply a circle. The correct phrase would be "I am the Alpha and I am the
Omega." This now indicates two distinct functions. Basically, it is wrong to translate "Alpha and Omega" into "the beginning and end." It is
better translated into "the beginning and the end," or "the positive and the negative." or "the good and the evil," or "the yin and the yang,"
or "the substance and the emptiness," and so on.