Re: The Universe Is Not A Sphere

Mikko: "Is Spacetime Really a Four-Dimensional Continuum?"
Stephen J. Crothers
"Time is measured in time units T, such as seconds, hours, or years.
Distance between two places is measured in length units L, such as
metres, yards, or miles. Consequently t cannot be added to any x, y, z,
because t has time units T whereas x, y and z have length units L.
Similarly t2 cannot be added to or subtracted from x2, y2, or z2, or
vice-versa....... The act of treating ct as an independent coordinate or
independent 'dimension' does not make it either.
Since ct is not an independent coordinate, spacetime is not a
four-dimensional continuum...... Spacetime is a fallacy [1, Appendix G].
The Theory of Relativity
employs Riemannian Geometry. In Riemannian Geometry, “Any n independent
variables xi, where i takes values 1 to n, may be thought of as the
coördinates of an n-dimensional space Vn in the sense that each set of
values of the variables defines a point of Vn.” Eisenhart [2]
The term ct is no more an independent coordinate than is xy/z, or x2/y,
or (x2 + y2 + z2)/x, all of which have the units of length L."