David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
A mathematical framework that unifies the standard formalisms of special relativity and quantum mechanics is proposed. For this a Hilbert space H of functions of four variables x,t furnished with an additional indefinite inner product invariant under Poincare transformations is introduced. For a class of functions in H that are well localized in the time variable the usual formalism of non-relativistic quantum mechanics is derived. In particular, the interference in time for these functions is suppressed; a motion in H becomes the usual Shrodinger evolution with t as a parameter. The relativistic invariance of the construction is proved. The usual theory of relativity on Minkowski space-time is shown to be ``isometrically and equivariantly embedded'' into H. That is, classical space-time is isometrically embedded into H, Poincare transformations have unique extensions to isomorphisms of H and the embedding commutes with Poincare transformations.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Mario Bacelar Valente, Did the Concepts of Space and Time Change That Much with the 1905 Theory of Relativity?
Joseph Berkovitz & Meir Hemmo (2005). Modal Interpretations of Quantum Mechanics and Relativity: A Reconsideration. [REVIEW] Foundations of Physics 35 (3):373-397.
Roger Penrose & C. J. Isham (eds.) (1986). Quantum Concepts in Space and Time. New York ;Oxford University Press.
W. M. De Muynck (1995). Measurement and the Interpretation of Quantum Mechanics and Relativity Theory. Synthese 102 (2):293 - 318.
W. M. de Muynck (1995). Measurement and the Interpretation of Quantum Mechanics and Relativity Theory. Synthese 102 (2):293-318.
Jan Hilgevoord & David Atkinson (2011). Time in Quantum Mechanics. In Craig Callender (ed.), The Oxford Handbook of Philosophy of Time. Oup Oxford.
Added to index2009-01-28
Total downloads9 ( #173,442 of 1,413,407 )
Recent downloads (6 months)1 ( #154,345 of 1,413,407 )
How can I increase my downloads?