Vacuum thermal effects in flat space-time from conformal quantum mechanics

A bstract The generators of radial conformal symmetries in Minkowski space-time can be mapped to the time evolution quantum mechanics. Within this correspondence we show that mechanics state associated inertial vacuum has structure a thermofield double. Such is built from bipartite “vacuum state”, ground hyperbolic evolution, which cover only part domain. When restricted finite domain one obtains temperature perceived by static diamond observers vacuum. determined dilations, covering half line, double corresponds non-vanishing Milne whose proper confined future cone (Milne universe) space-time. two pictures are related transformation on real line. Our result provides purely group theoretical derivation and temperatures shows fundamental ingredient for thermal effects presence horizon rather than acceleration.