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On Maximal-Acceleration, Strings and the Group of Minimal Planck-Area Relativity Theory

Carlos Castro
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Abstract

Recently we have presented a new physical model that links the maximum speed of light with the minimal Planck scale into a maximal-acceleration Relativity principle in phase spaces . The maximal proper-acceleration bound is $a = c^2/ Λ$ where $ Λ$ is the Planck scale. The group transformation laws of this Maximal-acceleration Relativity theory under velocity and acceleration boosts are analyzed in full detail. For pure acceleration boosts it is shown that the minimal Planck-areas (maximal tension) are universal invariant quantities in any frame of reference. The implications of this minimal Planck-area (maximal tension) principle in future developments of string theory, $ W$-geometry and Quantum Gravity are briefly outlined.

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Carlos Castro. 2002-11-07. On Maximal-Acceleration, Strings and the Group of Minimal Planck-Area Relativity Theory. https://arxiv.org/abs/hep-th/0211053

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