International
Journal of Cosmology, Astronomy and Astrophysics

ISSN: 2641-886X

Short Communication Article

Wave Equation and AT Math

Paul T E Cusack*

BScE, DULE, 23 Park Ave, Saint John, NB E2J 1R2, Canada

*Corresponding author: Paul T E Cusack, BScE, DULE, 23 Park Ave, Saint John, NB E2J 1R2, Canada, Tel: +1-506-652-6350, E-mail: St-michael@hotmail.com

Received: November 28, 2018 Accepted: December 14, 2018 Published: January 9, 2019

Citation: Cusack PTE. Wave Equation and AT Math. Int J Cosmol Astron Astrophys. 2019; 1(1): 9-10. doi: 10.18689/ijcaa-1000104

Copyright: © 2019 The Author(s). This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Abstract

This paper provides some insight into Cosmological Constants and how they come from the well-known Wave Equation.

Keywords: Wave Equation; Gravity Waves; Density; Period

Introduction

The Wave equation has been around since the 18th Century when d ʼAlembert discovered it. In this paper, I work through a few simple calculations for the universe as described by Astrotheology Math (AT Math) [1-2].

The Wave Equation:

2u/∂t2=c2 ∂u2/∂x2
a=k s”
s=|E|t|sin θ
sʼ=(dE/dt)(dt/dt) cos θ
s”=d2E/dt2 (dt2/dt2 (-sin θ)
But G=d2E/dt2 from the Clairnaut D.E.
s”=G(1)(cos θ)
And,
2u/2dt2=a=v =sin 45°=cos 45°=1/√2
1/√2=(-0.4233)(2/3) cos θ
cos θ=2.993(6.67)=2
θ=114388
ln θ=π
Or,
G=cos θ/c
G=cos θ/ [k a]
where k=π-e
a=v=sin 45 =cos 45
2u/∂t2=c22u/∂x2
a=c s”
Let E=t=1
a=1/√2
c=2.99792
s=|E||t| sin θ
s=(1)(1) sin θ
sʼ=cos θ
s”=-sin θ
1/√2=2.997922 (-sin θ)
csc θ=127.3=ρ (Density)
Or 1/ρ=-sin θ
2u/∂t2=c22u/∂x2
∫∂2u/∂t2=c2 ∫∂2u/∂x2
a=1/√2=v
v=∫a
c=2.99792
1/[√2× 2.99792]=∂2u/∂x2
∫∂2u/∂x2=cos θ
cos θ=0.7856
θ=0.667=G
1/G=1.5=Mass Gap
The Laplacian
2u=∂2u/∂x2+∂2u/∂y2+∂2u/∂z2
2u/∂t2=c22u
1/√2=0.423322u
2u=394~396 =1/Period T
Wave Equation:
2E/∂t2=c22 E
Rearrange to the Clairaut Differential Equation:
c22E- ∂2E/2t=0
But we know:
2E/2t=G
So,
c22E- G=0
E=Mc2
=(-1)c2
=-c2
c22E- G=0
Aside:
∇=∂/∂x+∂/∂dy+∂/∂z
=3(∂/∂x2)
=3 x (dM/dt)ʼ
=3 ℂ
c22E- G=0
c22 E
=c2(-c2) ∇2
Let ℂ=3
=-c4 C
=-80.7 (3ℂ)
302 C
=8.9875
=2.997922
=Speed of light.

Conclusion

The wave equation shows where the mass gap, the frequency and the density as well as the gravity equation wave equation come from.

Acknowledgements

None.

Conflict of interest

The author declares that there is no conflict of interest.

References

  1. Cusack P. Astro-Theology, Cusacks Universe. J. Phys. Math. 2016; 7(2): 8.   
  2. Steward I. In Pursuit of the Unknown. NY 2012.