  Cuscuton field theory is an extension of general relativity that does not
introduce additional propagating degrees of freedom, or violate relativistic
causality. We construct a general geometric description of the cuscuton field
theory by introducing curvature corrections to both the volume (potential) and
the surface (kinetic) terms in the original cuscuton action. Our assumptions
involve a stack of spacelike branes, separated by 4-dimensional bulks. We
conjecture that the cuscuton, initially a discrete field, becomes continuous in
the limit, there are many such transitions. From this we derive an effective
action for the cuscuton theory and show that at the quadratic level our theory
propagates only the two tensorial degrees of freedom.
