Eternal inflation, bubble collisions, and the persistence of memory
Jaume Garriga (Barcelona), Alan H. Guth (MIT), and Alexander Vilenkin, (Tufts)

TL;DR
This paper investigates how bubble collisions in eternal inflation create observable anisotropies that persist over time, challenging assumptions of homogeneity and isotropy in the universe.
Contribution
It provides a calculation of collision rates within bubble universes and demonstrates the persistent memory of the universe's beginning despite ongoing inflation.
Findings
Collision rate violates homogeneity and isotropy
Observers away from the bubble center see anisotropic collision patterns
Memory of the initial inflationary start persists indefinitely
Abstract
A ``bubble universe'' nucleating in an eternally inflating false vacuum will experience, in the course of its expansion, collisions with an infinite number of other bubbles. In an idealized model, we calculate the rate of collisions around an observer inside a given reference bubble. We show that the collision rate violates both the homogeneity and the isotropy of the bubble universe. Each bubble has a center which can be related to ``the beginning of inflation'' in the parent false vacuum, and any observer not at the center will see an anisotropic bubble collision rate that peaks in the outward direction. Surprisingly, this memory of the onset of inflation persists no matter how much time elapses before the nucleation of the reference bubble.
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