To establish the relationship between the metric of the General Theory and the characteristics of existence in D₁ it is necessary to extend (2.15) into the second spatial plane thus

where b is an angle in the second spatial plane. This is the temporal rate for three-dimensional motion in D₁. From (2.17), (4.12), and (4.18), (E.1) can be transformed to a temporal distance in D₀ thus

where dx₀ is the distance moved along the temporal axis in an element of time dt in D₀.

Incorporating (4.7), with (4.18) incorporated therein, converts (E2) to

as derived in [2], pp194, Eq(57.64) for the metric of the space-time of the General Relativity in the co-ordinate axes of Pseudo-Euclidean Space-Time. The above process shows that the metric of the General Theory is directly proportional to the temporal rate of a gravitating mass in D₁. This suggests that the metric of the General Theory is a temporal metric rather than one of a true space-time interval.

Nevertheless, however (E.3) is interpreted, from the above it clearly involves three-dimensional spatial terms and, as such, can only represent the metric of the General Theory for the case in which three-dimensional spatial variation in position is involved. If this variation is put to zero, then a metric for a spatially stationary point in the co-ordinate system of the General Theory is obtained. Thus by putting dr, df and db to zero in (E.3) gives

Re-inserting (4.7) and (4.18) then gives

so that the proper time of this point relative to Pseudo-Euclidean Space-Time is then

as derived in (2.18).

Thus the proper time of a spatially stationary point in the space-time of the General Theory, relative to Pseudo-Euclidean Space-Time, is identical to the proper time of D₁ relative to D₀.

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