# Physics/Essays/Fedosin/Stoney mass

In physics, the **Stoney mass** (**), is one of the base units in the system of natural units called Stoney units. It is a quantity of mass defined in terms of fundamental physical constants.
**

The Stoney mass is defined as:

- kg,

where

- , and is the gravitational constant,
- is the electric constant,
- = (137.035999074)
^{−1}is the electric fine structure constant, - is the elementary charge.

The Stoney mass is times less than the Planck mass .

## History[edit]

Contemporary physics has settled on the Planck scale as the most suitable scale for a unified field theory. The Planck scale was however anticipated by George Stoney. ^{[1]}

The Stoney scale has been re-discovered by M. Castans and J. Belinchon^{[2]}, and by Ross McPherson, ^{[3]} in connection with the Large number coincidences.

## Stoney mass vs elementary electric charge[edit]

The elementary charge is a unit of the Stoney scale. The Coulomb force between two such charges is:

The Newton force between two Stoney masses is:

From the equality of the above forces

we find out the relationship between Stoney mass and Stoney charge:

Note that, George Stoney first proposed the term *electron* for the particle with elementary electric charge due to O’Hara ^{[4]} and Keller.^{[5]}

## See also[edit]

- Stoney scale
- Selfconsistent electromagnetic constants
- Selfconsistent gravitational constants
- Vacuum constants
- Planck mass

## References[edit]

- ↑ Stoney G.
On The Physical Units of Nature, Phil.Mag.
**11**, 381-391, 1881 - ↑ M. Castans and J. Belinchon(1998). Enlargement of Planck’s System of Absolute Units, arhiv: physics/9811018.
- ↑ Ross McPherson. Stoney Scale and Large Number Coincidences. Apeiron, Vol. 14, No. 3, July 2007.
- ↑ J.G. O’Hara(1993). George Johnstone Stoney and the Conceptual Discovery of the Electron, Occasional Papers in Science and Technology, Royal Dublin Society 8, 5-28.
- ↑ A. Keller (1984). The Infancy of Atomic Physics: Hercules in His Cradle, Oxford Uni. Press.