The Decomposition of Neutron-Antineutron Oscillation Operators

We study the systematic decomposition of the dimension nine neutron-antineutron oscillation operators at tree and one-loop levels. We discuss the topologies' generation and the assignment of the chiral quarks. The completed lists of the decompositions are provided. We furthermore show an example that the neutron-antineutron oscillation occurs at one-loop level, with the tiny neutrino mass being generated via the scotogenic model and proton decay being evaded.Comment: 27 pages, 6 figures, 19 table

Introduction Of A Smart Diet Manager In IoT

Excessive consumption leads to 7 trends of crises, including destruction of the atmosphere, energy crisis, social decline and conflicts. Over consumption also deteriorates human health. To reduce excessive consumption not only can improve health, it can also reduce transportation from consumption, livestock raise and sale, and medical care. The reducing over consumption can benefit human health and environmental protection through supply chain management. This motivates us to devise an innovative product. Our imaginative innovative product is a new smart diet manager (DM). After a survey to potential users, it reveals that the new features can help reduce the excessive consumption and deterioration of the human health as well as the destruction of environment. Enterprises can also achieve their social responsibilities through the implementation and popularization of the DM as soon as possible

Solving Einstein equations using deep learning

Einstein field equations are notoriously challenging to solve due to their complex mathematical form, with few analytical solutions available in the absence of highly symmetric systems or ideal matter distribution. However, accurate solutions are crucial, particularly in systems with strong gravitational field such as black holes or neutron stars. In this work, we use neural networks and auto differentiation to solve the Einstein field equations numerically inspired by the idea of physics-informed neural networks (PINNs). By utilizing these techniques, we successfully obtain the Schwarzschild metric and the charged Schwarzschild metric given the energy-momentum tensor of matter. This innovative method could open up a different way for solving space-time coupled Einstein field equations and become an integral part of numerical relativity.Comment: 18 pages, 4 figure