Abstract
The problem of unifying quantum mechanics with special and general relativity is reconsidered from a relativistically invariant first principles theory. The ingredients are: (i) analytic extension of quantum mechanics into the complex plane via a complex symmetric ansatz, involving (ii) particle- antiparticle states interacting through a kinematical law including (iii) dynamical features such as time- and length-scale contractions and examining (iv) the likelihood of the so-called general Jordan block formations. The extended formulation has a wider set of solutions compared to standard mechanics, with general gauge invariance appropriately embedded. In the present development we establish connections with the Klein-Gordon-Dirac relativistic theories and confirm dynamical features like space and time contractions, Einstein’s law of light deflection in a gravitational field, and the appearance of the Schwarzschild-gravitational radius associated with every mass-matter object.
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© 2008 Springer Science + Business Media B.V
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Brändas, E.J. (2008). Are Einstein’s Laws of Relativity a Quantum Effect?. In: Wilson, S., Grout, P.J., Maruani, J., Delgado-Barrio, G., Piecuch, P. (eds) Frontiers in Quantum Systems in Chemistry and Physics. Progress in Theoretical Chemistry and Physics, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8707-3_9
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DOI: https://doi.org/10.1007/978-1-4020-8707-3_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-8706-6
Online ISBN: 978-1-4020-8707-3
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