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The String Uncertainty Relations follow from the New Relativity Principle
The String Uncertainty Relations have been known for some time as the stringy
corrections to the original Heisenberg's Uncertainty principle. In this letter
the Stringy Uncertainty relations, and corrections thereof, are explicitly
derived from the New Relativity Principle that treats all dimensions and
signatures on the same footing and which is based on the postulate that the
Planck scale is the minimal length in Nature in the same vein that the speed of
light was taken as the maximum velocity in Einstein's theory of Special
Relativity. The Regge behaviour of the string's spectrum is also a natural
consequence of this New Relativity Principle.Comment: Revised Tex file. 5 pages. Important change of notation for the
polymomenta coordinates has been made instead of using misleading wedge
products. The Cosmological constant term is include
A Polynomial Weyl Invariant Spinning Membrane Action
A review of the construction of a Weyl-invariant spinning-membrane action
that is in the fields, without a cosmological constant term,
comprised of quadratic and quartic-derivative terms, and where supersymmetry is
linearly realized, is presented. The action is invariant under a
supersymmetry transformation law which is derived from a new
sum-rule based on the 3D-superconformal algebra .Comment: 7 pages, Latex fil
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