We address a quantization mechanism that can allow us to understand why the cosmological constant is not large under quantum corrections from studying circle compactification solution of Standard Model coupled Einstein gravity which subject constraint Swampland conjectures. A novel result in present work compared previous investigations literature radius compactified dimension and 4D $\Lambda_4...

Consider two coaxial round circles with the same radius. A mathematical model of a tiny liquid drop trapped between them are constant mean curvature (CMC) surfaces because CMC surface is critical point area for all variations that preserve enclosed volume and satisfy given boundary condition. said to be stable if second variation any such nonnegative. In this paper, we judge stability one perio...

We initiate studying inverse spectral problems for Dirac-type functional-differential operators with constant delay. For simplicity, we restrict ourselves to the case when delay parameter is not less than one half of interval. considered case, however, give answers full range questions usually raised in theory. Specifically, reconstruction two complex $$L_{2}$$ -potentials studied from either c...

In this paper, a link between the Hyers–Ulam stability and the Moore–Penrose inverse is established, that is, a closed operator has the Hyers–Ulam stability if and only if it has a bounded Moore–Penrose inverse. Meanwhile, the stability constant can be determined in terms of the Moore– Penrose inverse. Based on this result, some conditions for the perturbed operators having the Hyers– Ulam stab...