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From: clzb93ynxj@att.net (LaurenceClarkCrossen)
Newsgroups: sci.physics.relativity
Subject: Re: The Universe Is Not A Sphere
Date: Thu, 14 Nov 2024 04:43:10 +0000
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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."