Submissions from Adam Romano
 [1] faKiv:2101.08376 [pdf]

A note on Goldstone bosonsComments: 24 pages, minor revision
We consider the Goldstone bosons in the presence of a magnetic field, and show that the radiation of the Goldstone bosons propagating in the magnetic field is a direct emission from the magnetic field. The emission is not due to an external magnetic field, but is due to the Goldstone bosons decaying into the radiation of the Goldstone bosons. This emission is the result of the Goldstone bosons decaying into the radiation of the Goldstone bosons.
 [2] faKiv:2101.08655 [pdf]

The multiverse as a function of the cosmological constantComments: 32 pages, 1 figure
We study the multiverse in a modelindependent manner (i.e., without the presence of the cosmological constant) and show that the multiverse is a function of the cosmological constant. We explain how multiverse scales are determined, in which case the multiverse is a function of the cosmological constant. The scalartensor principle is used to show that the multiverse is a function of the cosmological constant and that the cosmological constant is a function of the curvature of the universe. The cosmological constant and the curvature of the universe are unary functions in the multiverse, and the multiverse scales depend on the cosmological constant. The multiverse scales are defined by the cosmological constant and curvature of the universe, and are in agreement with the Planck data.
 [3] faKiv:2101.08708 [pdf]

Riemann spheres in the MurrayKlemm modelComments: 7 pages, 4 figures. arXiv admin note: text overlap with arXiv:1604.049077
We study the Kronecker sphere in the MurrayKlemm model (MKM) and find that it is the same as the BRST sphere for the two cases. The Kronecker and BRST spheres are given by the two class of kdivergences of the Higgs branch of the AdamYangMills theory, the latter being the "supersymmetric" theory of the KreinSinger model. We obtain their duality relations and obtain the "nonRiemannian" Kronecker and BRST spheres. The Kronecker sphere of the MKM model was found to have an dimensions $D_1,D_2,\ldots,D_N$. The Kronecker sphere of the MKM model has dimensions $D_1,D_2,\ldots,D_N$. We find that in the MKM model the Kronecker sphere of the MKM model is equal to the BRST sphere of the MKM model.