Planck particle
A Planck particle, named after physicist Max Planck, is a hypothetical particle defined as a tiny black hole whose Compton wavelength is equal to its Schwarzschild radius.[1] Its mass is thus approximately the Planck mass, and its Compton wavelength and Schwarzschild radius are about the Planck length.[2] Planck particles are sometimes used as an exercise to define the Planck mass and Planck length.[3] They play a role in some models of the evolution of the universe during the Planck epoch.[4]
Compared to a proton, for example, the Planck particle would be extremely small (its radius being equal to the Planck length, which is about 10−20 times the proton's radius) and heavy (the Planck mass being 1019 times the proton's mass).[5]
Derivation
While opinions vary as to its proper definition, the most common definition of a Planck particle is a particle whose Compton wavelength is equal to its Schwarzschild radius. This sets the relationship:
Thus making the mass of such a particle:
This mass will be times larger than the Planck mass, making a Planck particle 1.772 times more massive than the Planck unit mass.
Its radius will be the Compton wavelength:
Dimensions
Using the above derivations we can substitute the universal constants h, G, and c, and determine physical values for the particle's mass and radius. Assuming this radius represents a sphere of uniform density we can further determine the particle's volume and density.
Parameter | Dimension | Value in SI units |
---|---|---|
Mass | M | 3.85763×10−8 kg |
Radius | L | 5.72947×10−35 m |
Volume | L3 | 7.87827×10−103 m3 |
Density | M L−3 | 4.89655×1094 kg m−3 |
It should be noted that the above dimensions do not correspond to any known physical entity or material.
See also
References
- ↑ Michel M. Deza; Elena Deza. Encyclopedia of Distances. Springer; 1 June 2009. ISBN 978-3-642-00233-5. p. 433.
- ↑ "Light element synthesis in Planck fireballs" - SpringerLink
- ↑ B. Roy Frieden; Robert A. Gatenby. Exploratory data analysis using Fisher information. Springer; 2007. ISBN 978-1-84628-506-6. p. 163.
- ↑ Lua error in package.lua at line 80: module 'strict' not found. p. 424
- ↑ Harrison 2000, p. 478.
External links
- "The quasi-steady state cosmology: analytical solutions of field equations and their relationship to observations" - Astrophysics Data Systems
- "Mach's principle: from Newton's bucket to quantum gravity" - Google Books
- "Mysteries of Mass: Some Contrarian Views From an Experimenter"
- "The Gauge Hierarchy Problem and Planck Oscillators" - CERN Document Server
- "The First Turbulence and First Fossil Turbulence"
- "Lecture on Nuclear Physics for Plasma Engineers"
- The Planck Length