Why can information not be transmitted via phase velocity?

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Discussion Overview

The discussion centers on the question of why information cannot be transmitted via the phase velocity of a matter wave. Participants explore the implications of phase changes and the nature of wave transmission in the context of information transfer.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions the ability to transmit information via phase velocity, suggesting that phase can be changed at will.
  • Another participant responds that changes in phase do not keep up with the phase itself, implying a limitation in transmitting information.
  • A third participant states that a uniform wave transmits energy and momentum but does not convey information, which requires modification that travels at signal speed, equated to group velocity.
  • A later reply reiterates that changes in phase do not keep pace with the phase, reinforcing the earlier point about limitations in information transmission.

Areas of Agreement / Disagreement

Participants express differing views on the ability to transmit information via phase velocity, with some agreeing on the limitations while others explore the potential for phase changes.

Contextual Notes

There are unresolved aspects regarding the definitions of phase and group velocity, as well as the conditions under which information can be considered transmitted.

San K
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why can information not be transmitted via phase velocity (of a matter wave)?

can we not change the phase at will?
 
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Yes, but the change won't keep up with the phase!
 
A uniform wave would not transmit any information - just energy and momentum. To transfer information, you have to modify it in some way which can be read by the receiver. And this modification travels with the signal speed (which is equivalent to the group velocity without losses).
 
Bill_K said:
Yes, but the change won't keep up with the phase!

thanks Bill and mfb, well put
 
Last edited:

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