Preprint Article Version 1 This version is not peer-reviewed

# Finding the Planck Length Independent of Newton's Gravitational Constant and the Planck Constant: The Compton Clock Model of Matter

Version 1 : Received: 19 September 2018 / Approved: 20 September 2018 / Online: 20 September 2018 (05:01:28 CEST)

How to cite: Haug, E. Finding the Planck Length Independent of Newton's Gravitational Constant and the Planck Constant: The Compton Clock Model of Matter. Preprints 2018, 2018090396 (doi: 10.20944/preprints201809.0396.v1). Haug, E. Finding the Planck Length Independent of Newton's Gravitational Constant and the Planck Constant: The Compton Clock Model of Matter. Preprints 2018, 2018090396 (doi: 10.20944/preprints201809.0396.v1).

## Abstract

In modern physics, it is assumed that the Planck length is a derived constant from Newton's gravitational constant, the Planck constant and the speed of light, $l_p=\sqrt{\frac{G\hbar}{c^3}}$. This was first discovered by Max Planck in 1899. We suggest a way to find the Planck length independent of any knowledge of Newton's gravitational constant or the Planck constant, but still dependent on the speed of light (directly or indirectly).

## Subject Areas

planck length; planck constant; newton's gravitational constant; compton frequency; schwarzschild radius