Demonstration of K-Kbar, B-Bbar, and D-Dbar Transitions with a Pair of Coupled Pendula

TL;DR

This paper demonstrates meson-like transitions, including CP violation, using a coupled pendula setup to visually represent quantum two-state systems and their dynamics.

Contribution

It introduces a physical pendula model to simulate and visualize meson transitions and CP violation phenomena.

Findings

Pendula motions accurately mimic meson transition dynamics

Visual demonstration of CP violation in K Kbar transitions

Educational tool for quantum transition phenomena

Abstract

A setup of two coupled and damped pendula is used to demonstrate the main features of transitions beween neutral K, D, B mesons and their respective antiparticles, including CP violation in K Kbar transitions. The transitions are described by two-state Schr\"odinger equations. Since the real parts of their solutions obey the same differential equations as the pendula coordinates, the pendulum motions can be used to represent the meson transitions. Video clips of the motions are attached as supplementary material.