A Characteristic Particle Length

Abstract

It is argued that there are characteristic intervals associated with any particle that can be derived without reference to the speed of light $c$. Such intervals are inferred from zeros of wavefunctions which are solutions to the Schrödinger equation. The characteristic length is $\ell ={\beta }^2{\hslash }^2/(8G{m}^3)$, where $\beta =3.8\dots$; this length might lead to observational effects on objects the size of a virus.

8 pages