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Complexified Spacetime

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Foundations of Physics Letters

Abstract

It is pointed out that the Dirac position coordinates lead to an underlying non-commutative geometry, which again is symptomatic of an underlying double Weiner (Nelsonian) process.

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REFERENCES

  1. P. A. M. Dirac, The Principles of Quantum Mechanics (Clarendon, Oxford, 1958), pp. 4 ff and pp. 253 ff.

    Google Scholar 

  2. B. G. Sidharth, Chaotic Universe: From the Planck to the Hubble Scale (Nova Science, New York, 2001), p. 20.

    Google Scholar 

  3. B. G. Sidharth, Nuovo Cimento B 116(6), 4 (2001).

    Google Scholar 

  4. B. G. Sidharth, “A brief note on ‘Extension, spin and noncommutativity,’” Found. Phys. Lett. 15, 501 (2002).

    Article  Google Scholar 

  5. E. Prugovecki, Principles of Quantum General Relativity (World Scientific, Singapore, 1995), p. 9 ff.

    Book  Google Scholar 

  6. J. Madore, An Introduction to Non-Commutative Differential Geometry (University Press, Cambridge, 1995).

    MATH  Google Scholar 

  7. E. Nelson, Phys. Rev. 150(4), 1079-1085 (1966).

    Article  ADS  Google Scholar 

  8. L. Nottale, Fractal Space-Time and Microphysics: Towards a Theory of Scale Relativity (World Scientific, Singapore, 1993), p. 312.

    Book  MATH  Google Scholar 

  9. M. Sachs, General Relativity and Matter (Reidel, Dordrecht, 1982), pp. 45 ff.

    Book  Google Scholar 

  10. V. Heine, Group Theory in Quantum Mechanics (Pergamon, Oxford, 1960), p. 364.

    Google Scholar 

  11. S. S. Schweber, Relativistic Quantum Field Theory (Harper & Row, New York, 1964), pp. 31 ff.

    Google Scholar 

  12. B. G. Sidharth, Chaos, Solitons and Fractals 11(8), 1269-1278 (2000).

    Article  ADS  Google Scholar 

  13. H. S. Snyder, Phys. Rev. 72(1), 68-71 (1947).

    Article  ADS  Google Scholar 

  14. B. G. Sidharth, Frontiers of Fundamental Physics 4 (Plenum Publishers/Kluwer Academic, New York 2001), pp. 97-107.

    Book  Google Scholar 

  15. S. Zakrizewski in Quantization, Coherent States and Complex Structures, J. P. Antoine et al., eds. (Plenum, New York, 1995), pp. 249-255.

    Chapter  Google Scholar 

  16. J. Madore, Class. Quantum Grav. 9, 69-87 (1992).

    Article  ADS  MathSciNet  Google Scholar 

  17. G. Kaiser, Quantum Physics, Relativity, and Complex Spacetime (North-Holland, Amsterdam, 1990).

    MATH  Google Scholar 

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  1. Centre for Applicable Mathematics & Computer Science, Adarsh Nagar, Hyderabad -, 500 063, India

    B. G. Sidharth

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  1. B. G. Sidharth
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Sidharth, B.G. Complexified Spacetime. Found Phys Lett 16, 91–97 (2003). https://doi.org/10.1023/A:1024158308701

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