Velocity of Phase Wave in Vacuum - Contradicting Relativity?

In summary, the velocity of a phase wave in a vacuum can be greater than the speed of light, which contradicts the principles of relativity. However, this is based on outdated ideas and is not a concern because phase velocity is unobservable. In order to transmit information, a wave packet with a range of frequencies is needed, and the information propagates with the group velocity of this packet, which cannot exceed the speed of light for matter waves.
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kmajhi
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Velocity of phase wave in vacuum is grater than light velocty. This contradict the princles of relativity,so how this can be possible.
 
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You cannot transmit information with a wave of a single frequency. In order to transmit information, you need to turn the wave on and off somehow. This introduces additional frequencies and you get a wave packet. Your information then propagates with the group velocity of this wave packet and not with the phase velocities of its wave components.

For matter waves, the group velocity is equal to the particle velocity which can't exceed c.
 
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  • #3
kmajhi said:
Velocity of phase wave in vacuum is grater than light velocty. This contradict the princles of relativity,so how this can be possible.

That's from De-Broglies hypothesis which was simply a historical way-station to the full theory developed by Dirac in late 1926 and those old ideas were consigned to the dustbin of history - forget about them except in a historical context.

That said phase velocity is unobservable so that it propagates FTL is of zero concern.

Thanks
Bill
 

FAQ: Velocity of Phase Wave in Vacuum - Contradicting Relativity?

What is the velocity of the phase wave in vacuum?

The velocity of the phase wave in vacuum, also known as the speed of light, is approximately 299,792,458 meters per second.

How does the velocity of phase wave in vacuum contradict relativity?

The velocity of phase wave in vacuum does not necessarily contradict relativity. It is one of the fundamental constants in physics and is used to derive the theory of relativity. However, there have been some theoretical models that attempt to explain the discrepancy between the measured speed of light and the predicted speed in certain scenarios.

Can the velocity of phase wave in vacuum be faster than the speed of light?

According to the theory of relativity, the velocity of phase wave in vacuum cannot exceed the speed of light. This has been consistently observed and confirmed through various experiments.

What evidence supports the theory of relativity despite the discrepancy with the velocity of phase wave in vacuum?

The theory of relativity has been supported by numerous experiments and observations, such as the bending of light around massive objects, time dilation, and the equivalence of mass and energy. These evidences have been repeatedly confirmed and are crucial to our understanding of the universe.

Is the velocity of phase wave in vacuum a constant or can it vary?

The speed of light in vacuum is considered to be a constant in the theory of relativity. However, there are some theories that suggest the possibility of variations in the speed of light under certain conditions. These theories are still being explored and tested.

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