Short Communication Article
Wave Equation and AT Math
BScE, DULE, 23 Park Ave, Saint John, NB E2J 1R2, Canada
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.
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
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:
sʼ=(dE/dt)(dt/dt) cos θ
s”=d2E/dt2 (dt2/dt2 (-sin θ)
But G=d2E/dt2 from the Clairnaut D.E.
∂2u/2dt2=a=v =sin 45°=cos 45°=1/√2
1/√2=(-0.4233)(2/3) cos θ
G=cos θ/ [k a]
a=v=sin 45 =cos 45
s=|E||t| sin θ
s=(1)(1) sin θ
1/√2=2.997922 (-sin θ)
csc θ=127.3=ρ (Density)
Or 1/ρ=-sin θ
∇2u=394~396 =1/Period T
∂2E/∂t2=c2 ∇2 E
Rearrange to the Clairaut Differential Equation:
But we know:
=3 x (dM/dt)ʼ
c2 ∇2 E
=Speed of light.
The wave equation shows where the mass gap, the frequency and the density as well as the gravity equation wave equation come from.
Conflict of interest
The author declares that there is no conflict of interest.