Submissions from J. A. T. Meehan

[1]  faKiv:2008.08735 [pdf]
The gravitational waves: a graphical approach
Comments: 48 pages, 3 figures, accepted to Phys. Rev. D

We study the gravitational waves in the vicinity of a black hole. The black hole horizon is shown to be a massive black hole with the mass of the black hole and a scale factor of 2. This gives the gravitational waves a form of a microscopic black hole. The black holes are shown to have an exact mass and to be of the form of the quantum black hole. We also discuss the interpretation of the gravitational waves in terms of the cosmological constant and the black hole horizon.

[2]  faKiv:2008.08736 [pdf]
On the foundations of the Riemann sphere with a curved horizon
Comments: 28 pages, 5 figures

We consider the Riemann sphere with a curved horizon. A simple Riemannian solution is defined, and a geometric solution is constructed from it. The geometric solution is shown to be identical to the Riemannian solution in the presence of a collision of the two objects.