International Journal of Theoretical Physics

, Volume 29, Issue 9, pp 963–984 | Cite as

Maximal acceleration, maximal angular velocity, and causal influence

  • M. Toller


The upper bounds to acceleration and angular velocity which are suggested by quantum gravitational effects are described, together with the relativistic bound to velocity, by means of a cone ℐ+ in the Lie algebra of the Poincaré group. The connection between these bounds and the existence of a minimal measurable length (of the order of Planck's length) is illustrated by means of a simple model. The geometric properties of the cone ℐ+ and of other related structures are examined in some detail. The new geometric background requires some modifications of the concepts of causal influence and of spacetime coincidence, which are analyzed and shown to lead to some nonlocal features of the theory. Due to the smallness of Planck's length, these modifications to the causal relations cannot be observed by means of available experimental methods, but they could have some influence on the structure of elementary particles and on the very early cosmology.


Field Theory Elementary Particle Quantum Field Theory Angular Velocity Geometric Property 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • M. Toller
    • 1
  1. 1.Dipartimento di Fisica dell' UniversitàIstituto Nazionale di Fisica NuclearePovoItaly

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