Geometry of the unification of quantum mechanics and relativity of a single particle

DOI10.1007/s10701-009-9354-1zbMath1209.81010OpenAlexW2006678400MaRDI QIDQ630111

Juan-Miguel Gracia

Publication date: 17 March 2011

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-009-9354-1

zbMATH Keywords

quantum mechanicsgeneral relativityspecial relativityindefinite inner product space

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)

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On the motion of macroscopic bodies in quantum theory

Cites Work

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• Geometric derivation of quantum uncertainty
• On the measurement problem for a two-level quantum system
• On the problem of emergence of classical space-time: the quantum-mechanical approach
• From Euclidean to relativistic fields and on the notion of Markoff fields
• Quantum mechanics on Hilbert manifolds: the principle of functional relativity
• Linear algebra and differential geometry on abstract Hilbert space
• Nine theorems on the unification of quantum mechanics and relativity
• Localized States for Elementary Systems

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