de sitter space, double-scaled syk, and the separation of scales in the semiclassical limit

In the semiclassical limit of de sitter gravity a separation of scales takes place that divides the theory into a ``cosmic sector and a ``microscopic sector. a similar separation takes place in the double-scaled limit of syk theory. we examine the scaling behaviors that accompany these limits and find parallels that support the previously conjectured duality between jackiw-teitelboim gravity (with positive cosmological constant), and double-scaled syk.this paper is a companion to ds jt gravity and double-scaled syk by adel rahman, to appear simultaneously with this paper.