Mathematics – Commutative Algebra
Scientific paper
Mar 2012
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012aps..apr.e1047l&link_type=abstract
American Physical Society, APS April Meeting 2012, March 31-Apr 3, 2012, abstract #E1.047
Mathematics
Commutative Algebra
Scientific paper
The no-boundary wave function includes a prescription for restoring causality to particle theory via instantons. To leading order in h, the instanton wave function terms IR and S correspond to area and curvature of a finite representation. For QG theories in which the gravitational quantum has an area, such as Ambjorn dynamical triangulation, the imaginary S term represents particle energy. This establishes the form of the action as required to pass the Seiberg, Susskind & Toumbas (IASSNS 2000) Causality criterion. By following Harari's approach to preon algebra and the eight-fold way, a non-commutative algebra is setup with 1-1 correspondence to band theory. A band is defined as a closed string with intrinsic curvature/tension/energy. Thus a finitary, causal CFT is established which has an AdS-2 dual space in the deep-deep throat of an information-preserving black hole. The geometry of the `extra' scalar field of such an I-PBH is shown to be astrophysically vast and smooth - and thus is a candidate explanation for the observational signature of dark matter.
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