Kavli Affiliate: Austin Joyce
| First 5 Authors: Nima Arkani-Hamed, Daniel Baumann, Aaron Hillman, Austin Joyce, Hayden Lee
| Summary:
Perhaps the most basic question we can ask about cosmological correlations is
how their strength changes as we smoothly vary kinematic parameters. The answer
is encoded in differential equations that govern this evolution in kinematic
space. In this Letter, we introduce a new perspective on these differential
equations. We show that, in the simplified setting of conformally coupled
scalars in a general FRW spacetime, the equations for arbitrary tree-level
processes can be obtained from a small number of simple combinatorial rules.
While this "kinematic flow" is defined purely in terms of boundary data, it
reflects the physics of bulk time evolution. The unexpected regularity of the
equations suggests the existence of an autonomously defined mathematical
structure from which cosmological correlations, and the time evolution of the
associated spacetime, emerge.
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