In recent years it seems that, by measuring the transverse Doppler effect in experiments with a Mössbauer source, we observe a higher blue-shift compared to that provided by the standard relativistic time dilation. If this experimental measure will be officially recognized by the scientific community, we believe that the correct explanation must be sought within Einstein's General Relativity theory. Having this in mind, the aim of this paper is to suggest a possible interpretation of the experimental results. We immediately emphasize that ours is only an idea and does not claim to be certainly the correct explanation in the case in which the experimental data will be confirmed.
This paper has a didactic aim. The Einstein General Theory of Relativity is very difficult for undergraduates students and also for graduates who have not followed a course of study in gravitational physics. For example, the calculation of some of its known consequences, such as the gravitational time dilation, requires familiarity with space-time metrics. In this paper, starting with the analogy between the electromagnetic field and the inertial one, we want to analyze, through the Einstein Equivalence Principle (EEP), some simple effect in a fictious gravitational field by using the inertial potentials in analogy with the electromagnetic ones.
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