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:
- , 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 | edit source]
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. 
The Stoney scale has been re-discovered by M. Castans and J. Belinchon, and by Ross McPherson,  in connection with the Large number coincidences.
Stoney mass vs elementary electric charge[edit | edit source]
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  and Keller.
See also[edit | edit source]
- Stoney scale
- Selfconsistent electromagnetic constants
- Selfconsistent gravitational constants
- Vacuum constants
- Planck mass
References[edit | edit source]
- ↑ 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.