A characteristic particle length

Authors

MARK D. ROBERTS

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.

DOI

10.3906/fiz-1507-32

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