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:

$\left(x,y\right)=\sin \left(t\right)+1/3\cos \left[17t+\pi /3\right],\sin \left[17t+\pi /3\right]$

Let $t=1$

$={1.158}^2+{\left(-7193\right)}^2=1.858$

$=1+sin{59}^0$

$\approx Moment.$

$R=\sqrt{Mom}.=\sqrt{1.858}=1.363$

But R=2

So $R=\sqrt{Mom}/2=68.15=2\sigma$

Alexander’s polynomials

Reef or granny know

$x^2-2x+3-2/x+1/x$

Let $x=t=1$

$=1^2-2(1)+3-2/1+1/1$

$=1$

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

$F-E+V=2=R^2=x^2+y^2$

For a circle Face $F=2$ , $Edges=0$ , $Vertices=0$

$2-0+0=2True!$

$R=\sqrt{2}$

This is the ${45}^0$ Triangle where $E=t=1$

$R^2=x^2+y^2=a^2+b^2$  (Pythagoras)

$\sqrt{2}+\sqrt{2}=2\sqrt{2}=4=\left|D\right|$

$a^2+b^2=c^2$ $\Rightarrow 1^2+1^2=c^2$

$c=2=dM/dt$

We see that once again Occam’s razor applies this time to Topology and astrotheology.^1-5

None.

Author declares that there is no conflicts of interest.

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