Mar 8, 2012
A Friend Tells Me to Specify My Scientific Credentials
Posted by Otto E. Rössler in categories: existential risks, particle physics
I started to publish on general relativity in 1992 with about 20 papers to my credit since. I hereby brought in a differential-topological viewpoint, a sister field in which I have about 10 times more publications.
Chaos theory gives you a “feel” for nontrivial dynamical behavior. Poincaré had founded both disciplines and Birkhoff continued in both. My friend Edward Lorenz of chaos fame was a pupil of Birkhoff’s. The differential-topological perspective is in some respects broader than the differential-geometric one of traditional general relativity. Chaos theory in addition is a “barefoot science“ which allows important results to be gathered with simple geometrico-topological means and low-priced computers.
My most recent paper in the field, titled “Telemach,” is maximally simple but arrives at powerful consequences (including several new unit actions in physics). Two of its 3 new elements had already been seen by other authors. It moreover simplifies a sophisticated result obtained 5 years ago in the context of the Schwarzschild metric of general relativity; It toppled the venerable law of charge conservation in physics. I owe the simpler derivation in part to a fruitful conversation with my colleague Hermann Nicolai three years ago. It was he who opened up my eyes to the power of the new charge non-conservation in physics.
The main Tübingen insight in general relativity arose in a course held jointly with Dieter Fröhlich in 1997: If clocks are slower-ticking on a lower floor in gravity as known, what about the topology of the “1-D map” formed by light rays shuttling back and forth between two different height levels: is it chaotic (non-unique) or is it just a bijection? The latter answer – no chaos – took us by surprise. In its wake we slowly accumulated “neighboring” results. The latter proved to hold true even in the context of Einstein’s earliest seminal insight – the equivalence principle – which now is Telemach’s home.
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