Can Electromagnetic Wavelength Replace Geometrical Length as a Distance Measure?

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Discussion Overview

The discussion explores the possibility of using electromagnetic wavelength as a substitute for geometrical length in measuring distance. Participants examine the implications of this interchangeability in both theoretical and practical contexts, including metrology and the nature of physical measurements.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose that electromagnetic wavelength could serve as a legitimate distance measure, questioning whether it can replace geometrical length in physical formulas.
  • One participant notes that devices exist which count wavelength cycles for precise distance measurements.
  • Another participant asserts that wavelengths are interchangeable with lengths in all physical situations, inviting others to challenge this view.
  • Some argue that the concept of 'length' is uniform regardless of the measurement method, suggesting that the distinction between 'geometric' and 'physical' length is unclear.
  • A participant mentions that while electromagnetic radiation is often used as a time standard, it can also be related to length through the speed of light, provided corrections for the medium are applied.
  • One participant expresses confusion over the term 'geometrical length' and finds limited references to it in existing literature.
  • Another participant states that since the speed of light is defined, a wavelength can be considered a valid measure of distance.

Areas of Agreement / Disagreement

Participants express a range of views on the interchangeability of electromagnetic wavelength and geometrical length, with no consensus reached. Some agree on the validity of using wavelength as a distance measure, while others question the clarity and implications of such a substitution.

Contextual Notes

The discussion reveals uncertainties regarding the definitions of 'geometric' versus 'physical' length and the conditions under which wavelengths can be used as distance measures. There are also unresolved questions about the practical implications of these concepts in metrology.

TrickyDicky
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Could electromagnetic wavelength be used as a legitimate distance pattern? I mean is it OK to exchange geometrical length with physical wavelength? For example, given a bundle of light rays following geodesics in empty space, can the length between a given pair of geodesics be equivalent to a wavelength?
I recall vaguely that the General Conference on Weights and Measures in 1983 adopted as a primary length standard, or reference length, the wavelength of the iodine stabilized HeNe laser,He−Ne = 632.99139822 nm.Thus, in physical metrology seems to be a common practice to use an appropriate wavelength of electromagnetic radiation as the reference length. But I don't know if it is physically straightforward to interchange geometrical lengths with wavelengths as in switching in a given Physics formula the wavelength with an equivalent geometrical length.

Thanks
 
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There are devices that count wavelength cycles to determine distance (moved) for very precise measurements.
 
I understand wavelengths are interchangeable with lengths in every physical situation.
Anyone thinks otherwise?
 
Lengths are lengths. If doesn't matter what the length measures.
 
TrickyDicky said:
Could electromagnetic wavelength be used as a legitimate distance pattern? I mean is it OK to exchange geometrical length with physical wavelength? For example, given a bundle of light rays following geodesics in empty space, can the length between a given pair of geodesics be equivalent to a wavelength?
I recall vaguely that the General Conference on Weights and Measures in 1983 adopted as a primary length standard, or reference length, the wavelength of the iodine stabilized HeNe laser,He−Ne = 632.99139822 nm.Thus, in physical metrology seems to be a common practice to use an appropriate wavelength of electromagnetic radiation as the reference length. But I don't know if it is physically straightforward to interchange geometrical lengths with wavelengths as in switching in a given Physics formula the wavelength with an equivalent geometrical length.

Thanks
It's not clear what you are asking; electromagnetic radiation is used as a *time* standard, not a length standard (frequency vs. wavelength). However, because 'c_0' is a constant, it's possible to think of the meter being standardized in terms of a wavelength as well- as long as you mean wavelength in vacuum, or otherwise correct for the index of refraction.

That said, 'length' is 'length'... I don't understand what you mean by 'geometric' length vs. 'physical' length. Certainly, it's possible to scale physical parameters in an equation to obtain nondimensional groups (scaling the navier-stokes equation to obtain the Reynolds number, for example).
 
I Googled 'geometrical length' to try and find out what the OP is talking about.

I came up with this thread as the only reference. :smile:
 
The speed of light is 'by definition' 299,792,458 metres per second. So yes, a wavelength is as good a distance measure as nature offers.
 

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