11–13 May 2026
University of Pittsburgh
US/Eastern timezone

Asymptotic Velocity Domination in quantized polarized Gowdy Cosmologies

12 May 2026, 14:45
15m
David Lawrence Hall 205, University of Pittsburgh

David Lawrence Hall 205, University of Pittsburgh

Speaker

Mahdi Sedighi Jafari (University of Pittsburgh)

Description

Asymptotic velocity domination (AVD) posits that when back-propagated to the Big Bang generic cosmological spacetimes solve a drastically simplified version of the Einstein field equations, where all dynamical spatial gradients are absent (similar as in the Belinski-Khalatnikov-Lifshitz scenario). Conversely, a solution can in principle be reconstructed from its behavior near the Big Bang. This property has been rigorously proven for the Gowdy class of cosmologies, both polarized and unpolarized. Here we establish for the polarized case a quantum version of the AVD property formulated in terms of two-point functions of (the integrands of) Dirac observables: these correlators approach their much simpler velocity dominated counterparts when the time support is back-propagated to the Big Bang. Conversely, the full correlators can be expressed as a uniformly convergent series in averaged spatial gradients of the velocity dominated ones.

Author

Mahdi Sedighi Jafari (University of Pittsburgh)

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