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

Download: PDF

Submission history

[v1] 22 Oct 2010

Unique-IP document downloads: 95 times

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus