Submissions from S. M. T. T. Kocic
- [1] faKiv:2404.08149 [pdf]
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On the existence of non-perturbative gravitational waves on space-time boundariesComments: 35 pages, 1 figure, LaTeX2e
We consider the existence of non-perturbative gravitational waves on space-time boundaries of a Schwarzschild black hole. The solution to the Einstein equations for the black hole is found to be non-perturbative, i.e. it is proportional to the square of the horizon radius. The existence of gravitational waves over the horizon radius is known to be of the same type as the existence of gravitational waves on the original horizon. The problems of mixing and scattering of gravitational waves are solved in the same way, i.e. the effect of gravitational waves is determined by the position of the black hole. We find that the space-time boundary cannot contain gravitational waves, but it does contain the gravitational waves. The result shows that if the space-time boundary is a flat space, the gravitational waves cannot be present on space-time.
- [2] faKiv:2404.08152 [pdf]
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M-theory from a non-perturbative lensComments: 28 pages
We study the theory of M-theory from a non-perturbative lens. We show that the M-theory in the non-perturbative lens corresponds to a conformal field theory with the non-perturbative interpretation of M-theory. We study the vacuum expectation values (VEV) and the KU-Minkowski invariance for a non-perturbative lens. We show that the KU-Minkowski invariance of the non-perturbative lens is a function of the corresponding field theory. We also analyze the non-perturbative lens in the theory of M-theory in the theory of M-theory. We discuss that the M-theory in the theory of M-theory is not a topological theory in the theory of M-theory.
- [3] faKiv:2404.08174 [pdf]
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Boundary condition for the $SU(2)$ duality in the presence of $U(1)$ gauge fieldsComments: 9 pages, 4 figures
We consider $SU(2)$ dualities in the presence of $U(1)$ gauge fields. We introduce the concept of "boundary condition" in which initial conditions are taken as coordinates in the three-point function of the dualities. We show that in the presence of gauge fields we can obtain the ground state of the $SU(2)$ duality to any order in the gauge transformation. We also show that the boundary condition for the $SU(2)$ duality is an algebraic expression for the two-point function of the dualities. We conjecture that the ground state of the $SU(2)$ duality is a monodromy of the $SU(2)$ gauge fields.