Infinite time is displayed as space

The link between two-element numbers and infinite numbers is similar to the relationship between space and time. Due to Einstein's relativity theory we have already known that space and time are very closely linked. The four-vector defined by the three spatial coordinates complemented by time is also called the Lorentz vector because the scalar product of two such vectors is invariant under Lorentz transformations.

In this way, the vector length, or more professionally ‘norm’ is invariant under it. Since the Lorentz transformation is what we must use if we want to convert description of a movement in inertial reference frame to description in an other inertial reference frame, it is clear that the hyperbolic numbers can be used for this description. This has been also discovered by physicists as I mentioned in my writing of "My relations with the two-element numbers". From Einstein's relativity theory, more precisely, from the Lorentz transformation it follows that in a coordinate system moving at a near-speed-of-light speed, space ‘shortens’ to the external observer in the direction of movement, but in the moving coordinate system the external observer experiences time dilation, i.e. in the moving coordinate system time intervals are extended for the external observer.

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