Recovering Absolute Time in the Lorentz Transformation -The Apparent Nature of Relative Simultaneity

Special Relativity holds that the relativity of simultaneity is an inescapable physical consequence of the Lorentz Transformation (LT). This study shows that the phenomenon disappears when a position 4-vector from the stationary frame S is transformed into a fully covariant form in the moving system S', which means the transformed 4-vector is not expressed by coordinates of S. This step is mandatory if S and S' are to be physically equivalent. Standard LT matrix multiplication yields a 'mixed-coordinate' representation in which the stationary time t remains the evolution parameter. An additional functional step is required to replace t with expressions in terms of the local time t'. When this procedure is applied to any two simultaneous events in S, the resulting time interval in S' is zero (Δt'=0). This demonstrates that the textbook claim of relative simultaneity is tied to the intermediate mixed-coordinate stage and does not reflect a physical effect once full coordinate homogeneity is enforced in the moving frame. The resulting physical effects’ predictions remain fully consistent with all observable consequences of special relativity and are equivalent to those obtained in the Tangherlini framework. We argue that absolute-like simultaneity emerges naturally as a formal necessity for the consistent transformation of the position 4-vector into a fully covariant form.