Can Electromagnetic Wavelength Replace Geometrical Length as a Distance Measure?

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Electromagnetic wavelengths can serve as a legitimate distance measure, as evidenced by the 1983 adoption of the iodine-stabilized HeNe laser wavelength as a primary length standard. The discussion highlights the interchangeability of wavelengths and geometrical lengths in physical metrology, particularly in precise measurements using devices that count wavelength cycles. While electromagnetic radiation is primarily used as a time standard, the constant speed of light allows for the consideration of wavelengths as distance measures. The distinction between "geometric" and "physical" lengths is unclear, but the consensus is that lengths are fundamentally equivalent regardless of their measurement basis. Overall, wavelengths can effectively replace geometrical lengths in certain contexts.
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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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