Influence of the dispersion relation on the Unruh effect according to the relativistic Doppler shift method

We examine the influence of dispersion relation on Unruh effect by Lorentz boosting phase Minkowski vacuum fluctuations endowed with an arbitrary relation. find that, unlike what happens a linear exhibited massless fields, thermality is lost for general relations. show that emerges varying ``apparent'' Davies-Unruh temperature depending acceleration observer and degree departure from linearity The approach has advantage being intuitive able to pinpoint why such loss occurs when deviation becomes significant. discuss link our results well-known fundamental difference between thermalization theorem concept Rindler noise. possible experimental validation based successful setup testing classical analog recently described in literature.