""Relative mass. For a slower than light particle, a particle with a nonzero rest mass, the formula becomes where is the rest mass and is the Lorentz factor. The Lorentz factor is equal to: γ=1√1−v^2/c^2, where v is the relative velocity between inertial reference frames and c is the speed of light."
However, The time dilation corresponding to the Lorentz transformation is not the mass change but the relativistic error.
What is most significant here is that "not mass changes", but will have consequences in the whole theory of relativity, where time dilation is very significant, whereas wavelength dilation is not time dilation.
The results would significantly alter the theory of relativity.
Reference ResearchGate - Relativistic effects on phaseshift in frequencies invalidate time dilation II
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