Schroedinger's equation and "bike tracks" - a connection

TL;DR

This paper establishes a surprising equivalence between the stationary Schrödinger equation in quantum mechanics and the geometric concept of bicycle tracks, revealing a novel connection between physics and geometry.

Contribution

It introduces a new correspondence linking quantum physics and geometric patterns, expanding understanding of both fields.

Findings

Demonstrates the mathematical equivalence between Schrödinger's equation and bicycle tracks.

Provides a new geometric interpretation of quantum states.

Suggests potential applications in visualizing quantum phenomena.

Abstract

This note demonstrates an equivalence between two classes of objects: the stationary Schroedinger equation on the one hand and the "bicycle tracks" on the other.