Authors: Per Hokstad
Abstract. We introduce a new approach to simultaneity in the theory of special relativity (TSR), considering two reference frames (RFs) moving relative to each other at constant speed, v. The two clocks at the origins play a crucial role. We synchronize these at time 0, and due to symmetry we conclude that identical readings of these two ‘basic clocks’ provides a sense of simultaneity. The second element of the approach is a modified version of the Lorentz transformation. We combine the two (clock, space) observations of each RF at a specific position, to give a vector of two orthogonal components. The absolute value of this time vector provides a measure for ‘distance in time’, and the vector proves useful in the discussion of various types of simultaneity. We can also present the time vector as a complex variable, and there is a relation to the Minkowski distance.
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