A characteristic particle length

Authors

MARK D. ROBERTS

DOI

10.3906/fiz-1507-32

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 $\ell=\beta^2\hbar^2/(8Gm^3)$, where $\beta=3.8\dots$; this length might lead to observational effects on objects the size of a virus.

Keywords

Characteristic interval, schr\"odinger equation, fundamental length

First Page

24

Last Page

29

Recommended Citation

ROBERTS, MARK D. (2016) "A characteristic particle length," Turkish Journal of Physics: Vol. 40: No. 1, Article 3. https://doi.org/10.3906/fiz-1507-32
Available at: https://journals.tubitak.gov.tr/physics/vol40/iss1/3