In this brief paper, take a brief look at how Topology might apply to the Astrotheology Math. Much more work in this area remains to be done.
Keywords: topology, Alexander’s Knot, parametric equation, astrotheolgy
In this brief paper, we examine the Universal Parametric Equation as an Alexander Know. We see that the there is a topological invariant of “1” which of course, is equal to the Energy and time in Astrotheology (Figure 1).
Figure 1 The universal parametric equation.
The Universal Parametric Equation:
(x,y)=sin(t)+1/3cos[17t+π/3],sin[17t+π/3]
Let
t=1
=1.1582+(−7193)2=1.858
=1+sin 590
≈Moment.
R=√Mom.=√1.858=1.363
But R=2
So
R=√Mom/2=68.15=2σ
Alexander’s polynomials
Reef or granny know
x2−2x+3−2/x+1/x
Let
x=t=1
=12−2(1)+3−2/1+1/1
=1
In fact, all of Alexander’s Knots result in a the same answer =1, including the unknot.
The unknown is a circle. So the universal parametric equation is a knot.
Euler’s formula for polyhedra
F−E+V=2=R2=x2+y2
For a circle Face
F=2
,
Edges=0
,
Vertices=0
2−0+0=2 True!
R=√2
This is the
450
Triangle where
E=t=1
R2=x2+y2=a2+b2
(Pythagoras)
√2+√2=2√2=4=|D|
a2+b2=c2
⇒12+12=c2
c=2=dM/dt
We see that once again Occam’s razor applies this time to Topology and astrotheology.1-5
Author declares that there is no conflicts of interest.