Re: Gravity Solves Paradox raised by Einstein's Theory


Posted by Uncle Al on Sep 26, 2003 at 10:28
(68.5.243.16)

Re: Gravity Solves Paradox raised by Einstein's Theory (Mike Kremer)

Another high precision verification of General Relativity.

General Relativity is a rigorously derived self-consistent axiomatic geometry. Einstein did not make any mistakes (OK - one in Special Relativity. It was corrected.) Euclid is similarly mathematically perfect, yet Euclid is *obviously* incomplete - elliptic and hyperbolic geometries do not accept Euclid's Fifth (Parallel) Postulate.

One does not expect any General Relativity prediction to be contradicted by common observation. However... its postulates are indefensible by definition and therefore present rich opportunities for disproof. An axiomatic system is only as robust as its axioms. Geometric physics' axioms are inescapably vulnerable to geometric assault independent of accumulated predictive confirmations.

Modern physics assumes postulates and does not empirically challenge them - why risk a career tilting at windmills? This is exactly the wrong thing to do. There are EIGHT fundamental geometries of 3-space. Not Euclid alone, not Euclid plus hyperbolic and elliptic geometries, not the six Seifert manifolds.

WP Thurston, "Three-dimensional geometry and topology," Vol. 1. Princeton Mathematical Press, Princeton, NJ, 1997.

GP Scott, "The geometries of 3-manifolds,"
Bull. Lond. Math. Soc. 15(5) 401-487 (1983)

Einstein was not wrong, but Einstein can be incomplete. That is where you look for vulnerabilities.

--
Uncle Al
http://www.mazepath.com/uncleal/eotvos.htm
(Do something naughty to physics)

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