The Hierarchy Problem splits into Intrinsic (RG-induced cutoff sensitivity) and Extrinsic (UV augmentation making IR theory appear finetuned) versions, with the latter formalized as a paradox whose solutions are classified by premise violations.
Observational Consequences of a Landscape
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In this paper we consider the implications of the "landscape" paradigm for the large scale properties of the universe. The most direct implication of a rich landscape is that our local universe was born in a tunnelling event from a neighboring vacuum. This would imply that we live in an open FRW universe with negative spatial curvature. We argue that the "overshoot" problem, which in other settings would make it difficult to achieve slow roll inflation, actually favors such a cosmology. We consider anthropic bounds on the value of the curvature and on the parameters of inflation. When supplemented by statistical arguments these bounds suggest that the number of inflationary efolds is not very much larger than the observed lower bound. Although not statistically favored, the likelihood that the number of efolds is close to the bound set by observations is not negligible. The possible signatures of such a low number of efolds are briefly described.
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In a 5D open FRW model, negative curvature sustains tracker-like radion evolution that enables dynamical compactification via Casimir stabilization before 4D inflation dilutes curvature remnants.
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The Intrinsic and Extrinsic Hierarchy Problems
The Hierarchy Problem splits into Intrinsic (RG-induced cutoff sensitivity) and Extrinsic (UV augmentation making IR theory appear finetuned) versions, with the latter formalized as a paradox whose solutions are classified by premise violations.
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Curvature-Assisted Dynamical Compactification in a Pre-Inflationary Higher-Dimensional Universe
In a 5D open FRW model, negative curvature sustains tracker-like radion evolution that enables dynamical compactification via Casimir stabilization before 4D inflation dilutes curvature remnants.