Past studies of the billiard-ball paradox, a problem involving an object that travels back in time along closed timelike curve (CTC), typically concern themselves with entirely classical histories, whereby any trajectorial effects associated quantum mechanics cannot manifest. Here we develop version wherein (semiclassical) wave packet evolves through region containing wormhole machine. This is ...

This paper presents a novel approach to quantifying the information flow on a graph. The proposed approach is based on the solution of a wave equation, which is defined using the edge-based Laplacian of the graph. The initial condition of the wave equation is a Gaussian wave packet on a single edge of the graph. To measure the information flow on the graph, we use the average return time of the...

Abstract We analyse the Gaussian wave packet transform. Based on Fourier inversion formula and a partition of unity, which is formed by collection basis functions, new representation square-integrable functions presented. Including rigorous error analysis, variants transform are then derived discretization integral via different quadrature rules. Gauss–Hermite quadrature, we introduce packets i...