Wave equation invariance under Galilean transformations

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xray4abc - 06 Jul 2009 19:32 GMT

Hi, guys!
I have stated in an earlier thread in sci.physics.relativity
that Galilean transformation do preserve the wave equation,
contrary to current belief in physics.
That statement was based on my work on the subject
which you can access using the link below:
http://laszlo.lemhenyi.com/Galilei_transformations_and_wave_equation.pdf
Since then, I have made a demonstration in conventional style,
for plane waves only for now,
which I would like to bring to your attention
[and I am sure your critique as well :-) ].
The link for this second work is:
http://laszlo.lemhenyi.com/Wave_equation_invariance_in_classical_kinematics.pdf
Best regards, LL

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whit3rd - 17 Jul 2009 15:01 GMT

> that Galilean transformation do preserve the wave equation,
> contrary to current belief in physics.

Not contrary at all. Galilean transformations are the limiting
case of the special relativity transformations, where all
values are low compared to the speed of light, so of COURSE
they preserve the wave equation. If the relativistic
transformations preserve the wave equation, so must
the Galilean ones also.

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xray4abc - 24 Jul 2009 16:17 GMT

> > that Galilean transformation do preserve the wave equation,
> > contrary to current belief in physics.
>
> Not contrary at all.

Well, at least this was my perception of the issue,
based on typical textbooks.

>Galilean transformations are the limiting
> case of the special relativity transformations, where all
> values are low compared to the speed of light, so of COURSE
> they preserve the wave equation. If the relativistic
> transformations preserve the wave equation, so must
> the Galilean ones also.

I am glad we agree on this one! :-)
Best regards,
Laszlo Lemhenyi

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Natural Science Forum / Physics / Electromagnetism / July 2009

Wave equation invariance under Galilean transformations