Surprises with Nonrelativistic Naturalness
  We explore the landscape of technical naturalness for nonrelativistic systems, finding surprises which challenge and enrich our relativistic intuition already in the simplest case of a single scalar field. While the immediate applications are expected in condensed matter and perhaps in cosmology, the study is motivated by the leading puzzles of fundamental physics involving gravity: The cosmological constant problem and the Higgs mass hierarchy problem. 
Petr Horava
hep-th astro-ph.CO cond-mat.supr-con gr-qc hep-ph