What is the Smallest Possible Wavelength of Light?

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Discussion Overview

The discussion revolves around the question of the smallest possible wavelength of light, exploring both theoretical limits and practical examples across the electromagnetic spectrum. Participants consider various types of light, including visible light and gamma rays, and delve into concepts related to quantum mechanics and zero-point energy.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Wavelengths of light vary significantly, with examples ranging from AM radio waves to visible light.
  • Some participants clarify that gamma rays possess the shortest wavelengths, potentially less than 10 picometers.
  • One participant suggests that the smallest wavelength could be associated with the Planck length (1.616e-35 meters), indicating a limit imposed by quantum effects.
  • There is a suggestion that the longest wavelength might be connected to zero-point energy, while the smallest wavelength is linked to the highest energy of a photon, constrained by quantum mechanics.
  • Participants discuss the implications of relativistic effects on wavelength, noting that wavelengths approach infinity and zero but cannot actually reach these extremes due to the nature of light and relativity.

Areas of Agreement / Disagreement

Participants express differing views on the definitions and limits of wavelength, with no consensus on whether the smallest wavelength is finite or infinite, or how it relates to concepts like zero-point energy and quantum mechanics.

Contextual Notes

Discussions include unresolved assumptions regarding the definitions of "light" and the implications of quantum mechanics on wavelength limits. The relationship between energy, wavelength, and relativistic effects remains complex and not fully agreed upon.

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Bob S said:
Wavelengths vary over many orders of magnitude; AM radio is about 300 meter wavelength, FM about 3 m, 1 GHz about 30 cm, infrared about 1 to 100 microns, red light about 600 nanometers, blue light about 400 nanometers, etc.
The above quote is from another thread about a month ago, so i started another thread.

As above...red light about 600 nanometers, blue light about 400 nanometers, so what could the smallest possible wavelength of light be or is it infinely small?

or the longest possible wavelength for that matter
 
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Do you mean the smallest wavelength of visible light or any type?

Gamma rays have the shortest wavelengths of any other type of electromagnetism. They can have wavelengths of less than 10 picometre.

On the other hand, Extremely low frequency is abought \lambda=100Mm
 
Last edited:
You might say that the smallest wavelength possible would be http://en.wikipedia.org/wiki/Planck_length" (1.616e-35 metres) which is the smallest distance predicted before quantum effects reduce spacetime to a quantum foam.
 
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Stratosphere said:
Do you mean the smallest wavelength of visible light or any type?

Gamma rays have the shortest wavelengths of any other type of electromagnetism. They can have wavelengths of less than 10 picometre.

On the other hand, Extremely low frequency is abought \lambda=100Mm

stevebd1 said:
You might say that the smallest wavelength possible would be http://en.wikipedia.org/wiki/Planck_length" (1.616e-35 metres) which is the smallest distance predicted before quantum effects reduce spacetime to a quantum foam.

Thx for your replies, but they really don't answer my question...

Could the smallest/longest wavelength be ascosciated with zero point energy?
 
Last edited by a moderator:
Possibly the longest wavelength of light can be associated with a zero-point energy, but the smallest wavelength of light is associated with the highest energy possible in one photon. These are probably limited by Quantum Mechanics, though I'm not sure.

The highest and lowest wavelengths are, naively, as close to infinity and zero as possible, disregarding quantum effects. These can occur as you get red/blue shifted and as you get closer and closer to the speed of light. We can see that from the relativistic doppler shift:
\lambda_0=\sqrt{\frac{1+\frac{v}{c}}{1-\frac{v}{c}}}\lambda_s
Although since you can never achieve the speed of light the wavelengths will never achieve infinity or zero.
 

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