Re: The Universe Is Not A Sphere

Mikko: "Minkowski-Einstein spacetime: insight from the Pythagorean
theorem" Crothers= "ABSTRACT
The Pythagorean Theorem, combined with the analytic geometry of a right
circular cone, has been used by H. Minkowski and subsequent
investigators to establish the 4-dimensional spacetime continuum
associated with A. Einstein’s Special Theory of Relativity. Although the
mathematics appears sound, the incorporation of a hyper-cone
into the analytic geometry of a right triangle in Euclidean 3-space is
in conflict with the rules of pure mathematics. A metric space of n
dimensions is necessarily defined in terms of n independent coordinates,
one for each dimension. Any coordinate that is a combination of the
others for a given space is not independent so cannot be an
independent dimension. Minkowski-Einstein spacetime contains a
dimensional coordinate, via the speed of light, that is not independent.
Consequently, Minkowski-Einstein spacetime does not exist."