A hyperplane of simultaneity is a geometric concept used mainly in relativistic physics.
In a four-dimensional orthonormal framework (three dimensions of space
and one dimension of time), it represents the set of points in
space-time that are considered simultaneous for a given observer; the hypersurface that contains all the events that, for him, occur at the
same time.
This "hyperplane of the present", which is represented as a horizontal
sheet, therefore actually represents a three-dimensional space.
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