SHF posts #18 - complex-numnbers
I should tell you about complex-numbers quickly, very quickly...
No "two things"
So,
real numbers | imaginary* numbers
*(see earlier for explanation - numbers as imagined from the back {and reflected about one axis} of the graph paper you see from the front, for example)
Needs a third thing, the quantum combination of the 'two things' that make it three things...
complex-number = [real number] + [imaginary number]
That's it.
What's so good about complex-numbers?
They only make the entire Universe!
The magic comes with the 8 ingredients {4 complex-reflex pairs} (the total number of axes points on a two sided Ferris Wheel Universe):
{1|i}, {0|∞}, {-|+}, {e|π}
What happens is that you find that the circle function can be expressed very simply in complex-numbers and, unlike in real numbers alone, it has all the features needed to describe the 2 sided (mem)brane [2-D on both sides with {+|-space-time} mixed in an inverted way making the 4-D Universe with the cycling quanta [real|{dark}] included]:
e^(iθ) = cosθ + isinθ
[complex number = real number + imaginary number]
{π is hiding in the θ variable, the angle around the circle is given in radians, where θ=2π is one normal [eg 'real'] full revolution}
Don't worry if this means nothing to you, it just means what I wrote in the paragraph above it - it is the complete equivalent of the 12 Q-Pair complex-n double-arrow fractal-braneworld Universe [aka home ].
Simple takeaway:
π and 1 are General Relativity type numbers - not confusing even if they are magical like π (area of the unit circle - beautiful).
e and i are the QM machinery numbers - confusing as soon as you try to understand them with a normal 'real number' approach.
e^(iθ) is totally impervious to classical Calculus (differentiation or integration) - it just goes round and round the four quadrants of the complex-plane circle, never changing its magnitude - the fundamental quantum unit function of mathematics.
