Opinion Volume 1 Issue 6

Independent Researcher, Canada

**Correspondence:**

Received: October 02, 2018 | Published: November 30, 2018

**citation: **Cusack PTE. Topology & astrotheology. Open Acc J Math Theor Phy. 2018;1(6):239-240. DOI: 10.15406/oajmtp.2018.01.00041

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).

The Universal Parametric Equation:

$\left(x,y\right)=\mathrm{sin}\left(t\right)+1/3\mathrm{cos}\left[17t+\pi /3\right]\text{\hspace{0.17em}},\text{\hspace{0.17em}}\mathrm{sin}\left[17t+\pi /3\right]$

Let $t=1$

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

$=1+sin\text{}{59}^{0}$

$\approx Moment.$

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

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 $F=2$ , $Edges=0$ , $Vertices=0$

$2-0+0=2\text{}True!$

$R=\sqrt{2}$

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.

- Steward I.
*In Pursuit of the Unknown.*A member of the perseus books group. New York: Basic Books; 2012. 353 p. - Cusack P. The Universal Parametric Equation.
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*Some problems on approximations of functions in banach spaces*. Ph.D. Thesis. Uttarakhand: Indian Institute of Technology; 2007. - Mishra LN.
*On existence and behavior of solutions to some nonlinear integral equations with applications*. Ph.D. Thesis. Assam: National Institute of Technology; 2017. *A Study on Fixed Point Theorems for Nonlinear Contractions and its Applications*. Ph.D. Thesis. Chhattisgarh: Ravishankar Shukla University; 2014.

©2018 Cusack. This is an open access article distributed under the terms of the Creative Commons Attribution License , which permits unrestricted use, distribution, and build upon your work non-commercially.

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