Abstract
In previous studies, we have attempted to unify quantum mechanics with the theory of special and general relativity based on analytic extensions of quantum mechanics by the use of an elementary complex symmetric ansatz. We will here present a formal re-derivation of the extended dynamics essentially starting from the Maxwell’s equations. The formulation displays Einstein’s law of light deflection in a gravitational field significantly as a quantum mechanical effect and illustrates further the materialization of a Schwarzschild-like singularity connected with the emergence of an Jordan block with a Segrè characteristic larger than unity. The analysis throws additional light on the particle-wave behaviour near the singularity as well as resolves one of the main problems afflicting the principle of equivalence.
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Brändas, E. (2009). The Equivalence Principle from a Quantum Mechanical Perspective. In: Piecuch, P., Maruani, J., Delgado-Barrio, G., Wilson, S. (eds) Advances in the Theory of Atomic and Molecular Systems. Progress in Theoretical Chemistry and Physics, vol 19. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2596-8_5
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DOI: https://doi.org/10.1007/978-90-481-2596-8_5
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