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Once in the past I have heard that the vaccum in quantum mechanics, having its energy given by

## \sum_n \frac{1}{2}\hbar \omega_n ##

was also obtained by methods of Einstein's relativity, through the claim that the vaccum should be a field which is invariant under a boost transformation. This means that there may be a certain EM field configuration where an observer, travelling in some velocity, will not perceive any change in its spectrum due to the Doppler effect. This field, thus, would have the same energy (spectrum) of the QM vaccum field.

Is this correct? Is there any reference to this result (in case it is correct )

Best wishes,

DaTario