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Abstract |
I will discuss an approach to the scalar hierarchy problem that draws on concepts that have so
far been primarily applied to certain dynamical systems. These are systems that are naturally
driven to critical points and are maintained there by dynamical internal adjustment (i.e. by
avalanche phenomena, slippage, etc). Motivated in part by conjecture and experimental hints
that some such systems exhibit log periodic scaling associated with complex valued scaling
dimensions, I will discuss a 5 dimensional dual to a renormalization group trajectory that runs
towards a regime of approximate discrete scale invariance. Such behavior is forbidden as a
"healthy" trajectory, and is dual to an emergent Breitenlohner-Freedman tachyon instability for
scalar fields in AdS space. We explore how bulk 5D physics responds to this instability, and
how this model might simultaneously relate to the lightness of the Higgs and issues of
cosmology through a mechanism akin to frustration in condensed matter systems. |
