The Lorentz transformation is not the change in mass but the relativistic error:

The Lorentz transformation, considered formative for the theory of special relativity, was invented by Voigt in 1887, adopted by Lorentz in 1904, and baptized by Poincare in 1906. Einstein probably picked it up directly from Voigt.

Lorentz transformation is known as the relation between two different coordinate frames that move at a constant velocity and are relative to each other. There are two frames of reference, which are inertial frames - motion with a constant velocity.

However, the Lorentz transformation (𝑡/√(1− 𝑣²/𝑐²)) is not a change in mass but rather a relativistic error. Lorentz transformation cannot be a mass transformation for the following reasons.

As we know, the amount of energy (E) carried by a wave is proportional to its frequency (f) and inversely proportional to its wavelength (λ), in case of electromagnetic wave velocity v=c (electromagnetic wave speed).

That is, E∝f∝1/λ ...... (1)

Time interval for 1° phase is inversely proportional to frequency (f), time t(deg) corresponding to 1° of phase,

For example, t(deg)=1/(360f)=T/360 ..... (2)

Derived from the wave equation f=v/λ=1/T, we find that the wavelength (λ) of a wave is directly proportional to the period (T), for electromagnetic waves v=c.

That is, λ∝T ........... (3)

Therefore,

From equation no......(1), when frequency f=5 MHz, wavelength λ=59.95 m (approx.)

Experiments carried out in electronic laboratories on piezoelectric crystal oscillators show that the wave corresponds to a time shift (time delay Δt) due to relativistic effects. And for a 1° phase shift of the 59.95 m wave, the time delay (Δt) is 555 ps. And the ground state frequency of a cesium-133 atom is 9192631770 Hz.

Since, from equation no......(2), a 1° phase shift in a 5 MHz signal corresponds to a time shift of 555 picoseconds.

And from equation no......(3), λ∝T.  {T=t(deg)*360}

• However, a 1° phase shift of a 59.95 m wave ∝ time delay (Δt) is 555 ps.

• 360° phase shift of a 9192631770 Hz wave ∝ time delay (Δt) 0.0000001087827757077666 ms (approx).

• A 9192631770 Hz wave has a 1455.50003025° phase shift ∝ time delay (Δt) of 0.0000004398148148148148 ms (approx).

Here the waves correspond to time variation (time delay Δt) due to the relativistic effect of the relation λ∝T.  {T=t(deg)*360}

Therefore, the loss of wave energy results in a phase shift of frequencies due to wavelength distortion; those are consistent with time distortions in the form of time delays due to relativistic effects, so this proves that there is no mass transformation, and that the Lorentz transformation is not a mass transformation but a relativistic error.

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