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Chapter 1: The Relativistic Kepler Problem and Gödel’s Paradox
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Chemistry - Ångström, Theoretical Chemistry. (Erkki Brändas)
2012 (English)In: Progress in Theoretical Chemistry and Physics 26. Progress in Methods and Applications: Quantum Systems in Chemistry and / [ed] K. Nishikawa et al., Heidelberg: Springer, 2012, 3-22 p.Chapter in book (Refereed)
Abstract [en]

Employing a characteristic functional model that conscripts arrays ofoperators in terms of energy and momentum adjoined with their conjugate operatorsof time and position, we have recently derived an extended superposition principlecompatible both with quantum mechanics and Einstein’s laws of relativity.We havelikewise derived a global, universal superposition principle with the autonomouschoice to implement, when required, classical or quantum representations. Thepresent viewpoint amalgamates the microscopic and the macroscopic domainsvia abstract complex symmetric forms through suitable operator classificationsincluding appropriate boundary conditions. An important case in point comes fromthe theory of general relativity, i.e. the demand for the proper limiting order at theSchwarzschild radius. In this example, one obtains a surprising relation betweenG¨odel’s incompleteness theorem and the proper limiting behaviour of the presenttheory at the Schwarzschild singularity. In the present study, we will apply ourtheoretical formulation to the relativistic Kepler problem, recovering the celebratedresult from the theory of general relativity in the calculation of the perihelionmovement of Mercury.

Place, publisher, year, edition, pages
Heidelberg: Springer, 2012. 3-22 p.
, Progress in Theoretical Chemistry and Physics, ISSN 1567-7354 ; 26
Keyword [en]
Gödl's theorem(s), relativistic Kepler problem, Einstein's laws of relativity
National Category
Theoretical Chemistry
URN: urn:nbn:se:uu:diva-214534ISBN: 978-94-007-5296-2OAI: oai:DiVA.org:uu-214534DiVA: diva2:685005
Available from: 2014-01-08 Created: 2014-01-08 Last updated: 2014-01-08

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