Relativity and Cosmology


Does Causal Discontinuity as Postulated in the Pre Planckian State Affect / Create Conditions for the Break Down of Non Commutative Geometry Necessary for Quantum Effects?

Authors: Andrew Beckwith, L Glinka

Linking a shrinking prior universe via a wormhole solution for a pseudo time dependent Wheeler-De Witt equation[1] permits the formation of a short-term quintessence scalar field [2]. As both Beckwith and Glinka[3] postulated the existence of at least a brief period of causal discontinuity in the vicinity of Pre Planckian physics space time, the question is does the construction as given by Crowell[1] for an Octonionic non associator which leads to the commutation relations between position x and momentum p of quantum mechanics still hold up? Crowell's derivation heavily depends upon a value of the path integral of the [xi,pj] over spatial variation equal to - constant times T(ijk). Here, T(ijk) is a structure constant, which we claim would go to zero if a discontinuity exists, leading to x.p = p.x in the neighborhood of pre Planckian space time.

Comments: 6 pages

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[v1] 22 Oct 2010

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