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Classical Electron Radius


The classical electron radius is a theoretical length scale associated with the electron, derived from classical electromagnetism. It represents the size of a hypothetical sphere where the electron’s electrostatic energy equals its rest mass energy.



  • Its value is approximately 2.818 × 10⁻¹⁵ meters (about 2.8 femtometers).



  • Calculated using fundamental constants: the electron charge, mass, and the speed of light.



  • It is not the actual physical size of the electron (which is considered point-like in quantum mechanics), but a useful scale in classical physics.



  • Used in scattering theory and classical electron models.



Key facts:



  • Classical electron radius ≈ 2.818 × 10⁻¹⁵ m



  • Represents an electromagnetic length scale, not a physical size



  • Important in classical models of electron behavior



This radius helps bridge classical and quantum views of particle physics.


Planck Length


The Planck length is the smallest meaningful unit of length in physics, representing a fundamental scale at which classical ideas about gravity and space-time break down and quantum effects dominate.



  • It is defined as approximately 1.616 × 10⁻³⁵ meters.



  • The Planck length is derived from fundamental constants: the speed of light, Planck’s constant, and the gravitational constant.



  • It sets a theoretical limit below which the very concepts of space and distance may lose conventional meaning.



  • Used mainly in theories of quantum gravity and string theory.



Key facts:



  • 1 Planck length ≈ 1.616 × 10⁻³⁵ m



  • Smallest scale in quantum physics and cosmology



  • Represents a scale where quantum effects of gravity become significant



The Planck length is crucial for understanding the fabric of the universe at its most fundamental level.




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