Research Article Open Access

Nilpotence and the Generalized Uncertainty Principle (S)

Nikos Kalogeropoulos1
  • 1 Weill Cornell Medical College in Qatar Education City, Qatar

Abstract

We point out that some of the proposed generalized/modified uncertainty principles originate from solvable, or nilpotent at appropriate limits, "deformations" of Lie algebras. We briefly comment on formal aspects related to the well-posedness of one of these algebras. We point out a potential relation of such algebras with Classical Mechanics in the spirit of the symplectic non-squeezing theorem. We also point out their relation to a hierarchy of generalized measure theories emerging in a covariant formalism of quantum gravity.

Space Science International
Volume 1 No. 2, 2013, 99-111

DOI: https://doi.org/10.3844/ajssp.2013.99.111

Submitted On: 13 January 2014 Published On: 23 January 2014

How to Cite: Kalogeropoulos, N. (2013). Nilpotence and the Generalized Uncertainty Principle (S). Space Science International, 1(2), 99-111. https://doi.org/10.3844/ajssp.2013.99.111

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Keywords

  • Uncertainty Principle
  • Nilpotent/Solvable Groups
  • Simplistic Topology
  • Quantum Gravity