## A Planck Unit Theory; Sqrt of Planck Momentum as a Link Between Mass and Charge

**Authors:** Malcolm Macleod

In this article I propose the sqrt of Planck momentum, denoted here as Q, as a link between the mass constants and the charge constants. Formulas for the fundamental physical constants are derived as geometrical shapes in terms of Q, the Sommerfeld fine structure constant alpha (11-12 digit precision), the vacuum of permeability (exact value) and the speed of light (exact value). The electron is solved using magnetic monopoles which then permits a solution for the Rydberg constant R, the most accurate natural constant (12-13 digits). We can then define Q in terms of R, and so the numerical solutions for the physical constants are limited only by the precision of the fine structure constant. Solutions for the constants in terms of $R, c, \mu_0, \alpha$ given in table below.

**Comments:** 4 Pages.

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### Submission history

[v1] 19 Feb 2011

[v2] 20 Feb 2011

[v3] 18 May 2011

[v4] 3 Oct 2011

[v5] 2016-01-17 00:50:31

[v6] 2016-02-03 07:56:27

[v7] 2016-02-07 08:01:52

[v8] 2016-04-07 16:31:34

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