Interpreting Time, Mass & Length in Special Relativity

[MeJennifer]

Relativistic Mass
Since energy (= relativistic mass) and momentum correspond to the frequency
and wavelength of the de Broglie waves, and, The Lorentz contraction and
Time dilation of these waves is undone, it follows simply that also the relativistic
mass increase is undone!

Yes in quantum mechanics there is a direct relation between clock rates and a particle's mass. The rest mass m has a natural frequency mc²h^-1.

Historically it is quite obvious what happened with regards to the development of the special theory of relativity. The Lorentz contractions describe how clocks slow down and lengths contract in a moving frame and as a consequence of this each frame observes the speed of light as c.
SR turned it upside down and postulated the constancy of the the speed of light and then "demonstrated" that from this postulate and the principle or relativity alone one can derive the Lorentz transformations.
The numbers come out exactly the same and as Pervect correctly stated, that is what is most important, but wth SR we are left with paradoxes due to the alledged shrinking of time and space.

 

[Hans de Vries]

Yes in quantum mechanics there is a direct relation between clock rates and a particle's mass. The rest mass m has a natural frequency mc²h^-1.

Indeed,

If you ever wonder about the frequency "paradox":

The "paradox" is that a relativistic particle has a higher relativistic mass
and thus should have a higher frequency according to E=hf while at the
other hand it ages slower due to time dilation and thus should have a lower
frequency.

Look here for the explanation + an image.

https://www.physicsforums.com/showpost.php?p=791784&postcount=87Regards, Hans

 

[robphy]

The numbers come out exactly the same and as Pervect correctly stated, that is what is most important, but wth SR we are left with paradoxes due to the alledged shrinking of time and space.

...paradoxes for those who cling to a Galilean-Newtonian viewpoint.

 

[Jorrie]

...paradoxes for those who cling to a Galilean-Newtonian viewpoint.

Ditto... please MeJennifer, there are no paradoxes in SR! The 'paradoxes' only exist in the minds of people clinging to other viewpoints.