The Constancy of Astronomical Time
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The transformed time in a Lorentz transformation was originally intended to apply to local time as opposed to astronomical time, but without any clear definition as to what was meant by the term "local time". This article will seek to place local time on a firm physical basis that is relevant to the context under consideration.
See here, https://www.researchgate.net/publication/371905140_The_Constancy_of_Astronomical_Time