Speed of Theoretical Wave: Constant Regardless of Frame?

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SUMMARY

The discussion centers on the speed of theoretical waves that do not require a medium, specifically highlighting the formula v = fλ, where v is speed, f is frequency, and λ is wavelength. Participants explore the implications of the Doppler effect on perceived frequency and wavelength, concluding that the speed remains constant regardless of the observer's frame of reference. The conversation also touches on the definition of such waves, questioning whether electromagnetic (EM) waves are the only type that can exist without a medium.

PREREQUISITES
  • Understanding of wave mechanics, specifically frequency and wavelength.
  • Familiarity with the Doppler effect and its implications on wave perception.
  • Basic knowledge of theoretical physics concepts, including frame of reference.
  • Awareness of electromagnetic waves and their properties.
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  • Research the properties of gravitational waves and their theoretical implications.
  • Study the behavior of sound waves in superfluids and their lack of viscosity.
  • Explore the concept of wave-particle duality in quantum mechanics.
  • Investigate the differences between electromagnetic waves and other types of waves in terms of medium requirements.
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Students and enthusiasts of physics, particularly those interested in wave mechanics, theoretical physics, and the properties of different types of waves.

ArielGenesis
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In a theoretical wave that does not need a medium, not necessarily EM.
the speed of the wave is given by : v=fl
where f is frequency and l is lamda, wave length

suppose there is a stationary wave generator, we can easily measure f and l from any arbitrary point.
if we move towards the generator we will experience a Doppler effect, let's say, we move in such a way that we hear the frequency 2f. by doing this, the wavelength we detect become 0.5l and thus the speed is still v. so shouldn't any wave have a constant speed disregarding the frame of reference?
 
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The speed of such a wave is v=E/p, which is frame-dependent except for particles (quanta) of rest mass 0.
 
theoretical wave but what?

ArielGenesis said:
In a theoretical wave that does not need a medium, not necessarily EM.
the speed of the wave is given by : v=fl
where f is frequency and l is lamda, wave length

suppose there is a stationary wave generator, we can easily measure f and l from any arbitrary point.
if we move towards the generator we will experience a Doppler effect, let's say, we move in such a way that we hear the frequency 2f. by doing this, the wavelength we detect become 0.5l and thus the speed is still v. so shouldn't any wave have a constant speed disregarding the frame of reference?

Could you define such a wave? The frequency is defined by the source and the wave length by the source and the medium as well!
 
so the wavelength is defined by the medium, that's new!

sorry Ich, but I have no idea what you are about. pardon me but not every one here, especially me, got a degree in physics.

hummm could I define such a wave? I might...
1. I am not sure, a gravitational force wave, where there will be a stationary source object which m=sin(t) where m is mass and t is time/.
2. I am sure! a normal sound wave in a super-fluid, so there will be no viscosity...

is EM is the only wave without medium?
 

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