## Sunday, April 17, 2011

### The Moxness Bump

Looking further at Moxness' work, thanks to his helpful blog post of yesterday, I think we can make sense of it. First, let us select a natural length unit $L$ based on both the Compton wavelength $\lambda$ of the electron and the fine structure constant,

$L = \frac{2 \lambda}{\alpha} = \frac{\alpha}{R_{\infty}} = 6.650 \times 10^{-10}$m.

The ansatz is that a natural system of units in a varying constant cosmology should account for quantum mass, Bohr radii and charge. Next we define a natural time unit $T$ using a Riofrio law

$L = \alpha^{8} cT$

where the large power of alpha reflects the dimensionality of an internal space in the M Theory context. Then $T = 0.276$s. Finally, a natural mass unit $M$ is given by the rule

$M = \frac{\hbar}{cL} = 5.290 \times 10^{-34}$kg.

Moxness then predicts the characteristic central mass scale $m_{\textrm{EW}}$ with the definition

$m_{\textrm{EW}} = \sqrt{2 \alpha^{-8}} M = 147.99$ GeV.

The numbers work. The role of M Theory here is rather unclear, but it would be nice to get rid of fairy fields in this spectacular fashion.

1. Thanx again for the linx! Moxness' work is interesting in that it predicts mass scales. Perhaps M theory could look like M = R = t.

2. Yes, it does seem to be rather simple, doesn't it? One cannot help but wonder what all those thousands of stringers have been doing for the last 30 years.

3. Hey - "the Moxness Bump" was spotted last night on the TV show "The Big Bang Theory". See my blog post on it.
http://theoryofeverything.org/wordpress/?m=201105