The Physics of the Far Future
Ruxandra Bondarescu (University of Zurich), Andrew P. Lundgren (Max, Planck Institute for Gravitational Physics), and Mihai Bondarescu, (Universitatea de Vest, University of Mississippi)

TL;DR
This paper explores the long-term evolution of the universe, suggesting it will approach a state similar to flat Minkowski space with negligible cosmological constant, and discusses the implications for the universe's entropy and horizon.
Contribution
It provides a theoretical analysis of the universe's far future, connecting cosmological horizon dynamics with the asymptotic approach to Minkowski space.
Findings
Universe will asymptote towards Minkowski space
Cosmological horizon expands indefinitely
Entropy diverges as universe approaches equilibrium
Abstract
We observe the past and present of the universe, but can we predict the far future? Observations suggest that in thousands of billions of years from now most matter and radiation will be absorbed by the cosmological horizon. As it absorbs the contents of the universe, the cosmological horizon is pushed further and further away. In time, the universe asymptotes towards an equilibrium state of the gravitational field. Flat Minkowski space is the limit of this process. It is indistinguishable from a space with an extremely small cosmological constant (\Lambda -> 0) and thus has divergent entropy.
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