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FQXi FORUM
January 21, 2018

CATEGORY: The Nature of Time Essay Contest (2008) [back]
TOPIC: Morphogenesis and dynamics of quantum state by Peter Leifer [refresh]
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Peter Leifer wrote on Nov. 28, 2008 @ 09:31 GMT
Essay Abstract

New construction of $4D$ dynamical space-time (DST) has been proposed in the framework of unification of relativity and quantum theory. Such unification is based solely on the fundamental notion of generalized coherent state (GCS) of N-level system and the geometry of unitary group $SU(N)$ acting in state space $C^N$. Neither contradictable notion of quantum particle, nor space-time coordinates (that cannot be a priori attached to nothing) are used in this construction. Morphogenesis of the ``field shell"-lump of GCS and its dynamics have been studied for $N=2$ in DST. The main technical problem is to find non-Abelian gauge field arising from conservation law of the local Hailtonian vector field. The last one may be expressed as parallel transport of local Hamiltonian in projective Hilbert space $CP(N-1)$. Co-movable local ``Lorentz frame" being attached to GCS is used for qubit encoding result of comparison of the parallel transported local Hamiltonian in infinitesimally close points. This leads to quasi-linear relativistic field equations with soliton-like solutions for ``field shell" in emerged DST. The terms ``comparison" and ``encoding" resemble human's procedure, but here they have objective content realized in invariant quantum dynamics. The dynamical motion of the lump in DST may be associated with ``kinesis" time whereas the evolution parameter describing morphogenesis of GCS evolving in $CP(N-1)$, may be naturally identified with ``metabole" time.

Author Bio

Peter Leifer, theoretical physicist, was born January 8, 1949, Pavlograd, Ukraine. M.Sc. in mathematics, 1974, Simferopol State University, Crimea, Ukraine. Senior scientific researcher, 1981-1992, Simferopol State University, Crimea, Ukraine. Ph.D. in physics & mathematics, 1990, Physics-Engineering Institution for Low Temperatures, Academy of Science, Kharkov, Ukraine. Emigration to Israel, August 1992. Researcher of Institute for Advanced Studies at Tel-Aviv University 1993-1997. Physicist in high-tech companies 1998-2001. Associate professor, Crimea State Engineering University, Simferopol, Ukraine, 2002-2006. Sabbatical visitant at Bar-Ilan University, Israel, 2005-2006. Physicist, Hermon Laboratories, 2007-present.

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Cristi Stoica wrote on Dec. 28, 2008 @ 09:49 GMT
Dear Dr. Leifer,

I agree with you that the idea of recovering the spacetime from the projective Hilbert space by projection is a promising approach for unifying relativity and QM, and I enjoyed also other interesting ideas of your essay.

Best wishes,

Cristi Stoica




Peter Leifer wrote on Dec. 28, 2008 @ 18:46 GMT
Dear Cristi, thanks for reply. In order to reach smooth QM

as you wish we need dramatically change formal apparatus together with physical revision of foundation of QM. Unfortujately it is impossible without revision of space-time status and structure.

Best regards,

Peter




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