Bodies of zero resistance and bodies invisible in one direction

TL;DR

This paper proves the existence of bodies that have zero resistance, leave no trace, or are invisible in a flow of particles, by analyzing elastic interactions in a parallel particle flow.

Contribution

It introduces and proves the existence of bodies with zero resistance, no trace, and invisibility in particle flows, expanding geometric and physical understanding.

Findings

Bodies of zero resistance exist.

Bodies leaving no trace exist.

Invisible bodies in one direction exist.

Abstract

We consider a body in a parallel flow of non-interacting particles. The interaction of particles with the body is perfectly elastic. We introduce the notions of a body of zero resistance, a body that leaves no trace, and an invisible body, and prove that all such bodies do exist.