C. Castro: The Minimal Length Stringy Uncertainty Relations Follow from Clifford Space Relativity


Authors: Carlos Castro

Abstract: We improve our earlier work in [C. Castro, Foundations of Physics. Vol. 30, Iss. 8, (2000), pp. 1301-1316.] and derive the minimal length string/membrane uncertainty relations by imposing momentum slices in flat Clifford spaces. The Jacobi identities associated with the modified Weyl-Heisenberg algebra require noncommuting spacetime coordinates, but commuting momenta, and which is compatible with the notion of curved momentum space. Clifford Phase Space Relativity requires the introduction of a maximal scale which can be identified with the Hubble scale and is a consequence of Born’s Reciprocal Relativity Principle.

Comments: 14 Pages. Submitted to Physics Letters B

Download: PDF

Source: Email from C. Castro, perelmanc_AT_hotmail.com, 19 Mar. 2014, http://vixra.org/abs/1403.0295

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