Space and time dimensions

The most important new feature of the Lorentz transformation, absent from the Galilean scheme, is this interdependence of space and time dimensions. At velocities approaching c it is no longer possible to consider the cartesian coordinates of three-dimensional space as being independent of time and the three-dimensional line element da = Jx2 + y2 + z2 is no longer invariant within the new relativity. Suppose a point source located at the origin emits a light wave at time t = 0. The equation of the wave front is that of a sphere, radius r, such that... 

Fig 2 shows a typical smear camera wedge record. Characteristically, these traces show the initial shock, the point of transition to high-order detonation, and the high-order detonation. The space and time dimensions are shown. Although the shock and detonation velocities in the expl can be determined from these records, only the coordinates for the high-order detonation, x and t, are normally found. Historically, many analysis techniques have been used, including those used here for data analysis . 

Microelectrodes are also opening up a new world for electrochemists to explore systems where the space and time dimensions are dramatically reduced. Such systems enable the... 

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