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Compare · The Fate of the Universe

Classical Closed Recollapse vs Dynamical Dark Energy Turnaround

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Recollapse and the Big Crunch· within family
Classical Closed Recollapse
1922 · Rejected
Dynamical Dark Energy Turnaround
2002 · Speculative
Proposed
1922
2002
Key figures
Alexander Friedmann
Renata Kallosh, Andrei Linde
In one sentence
Classical Closed Recollapse is the original Big Crunch, the closed Friedmann universe that dominated cosmology before dark energy was discovered. If the total density exceeds a critical value, space has positive curvature and is finite, and gravity eventually halts the expansion and pulls everything back into a hot, dense crunch. Current measurements of a flat universe with dark energy have made this the disfavoured route, but it remains the foundational picture of a recollapsing cosmos.
The Dynamical Dark Energy Turnaround shows that a flat, currently accelerating universe can still end in a Big Crunch. If dark energy is a scalar field whose potential is slowly decreasing and will eventually go negative, its repulsion turns into an attraction, the expansion halts, and the universe recollapses. Kallosh and Linde 2002, working in supergravity, showed this can happen within a time comparable to the present age of the universe, so a crunch is not ruled out by today's acceleration.
Predictions
  • The total density exceeds the critical value, giving positive spatial curvature and a finite, closed universe
  • Expansion reaches a maximum and reverses purely under gravity, with no dark energy required
  • The contraction reverses cosmic history: blueshifted, reheating background radiation ending in a hot dense crunch
  • A measurement of significantly positive spatial curvature would revive this route to a crunch
  • Dark energy is a dynamical field whose potential decreases and eventually becomes negative
  • The cosmic acceleration reverses, expansion halts, and the universe recollapses into a Big Crunch in finite time
  • The time to the crunch depends on the slope of the potential, and in viable supergravity models can be comparable to the current age of the universe
  • A measurement that the dark-energy density is decreasing toward zero, with w staying above -1 as the field rolls down toward a negative potential, would support an approaching turnaround
Where it breaks
  • Precision cosmological measurements are consistent with a spatially flat universe, removing the positive curvature this scenario requires
  • A positive dark energy, which is observed, drives eternal expansion even in a closed universe, overriding the gravitational recollapse
  • On current data this is not a viable future, which is why it carries historical status
  • There is no evidence that the dark-energy potential is heading negative; the data are consistent with a positive cosmological constant and eternal expansion
  • The time and even the occurrence of a turnaround depend sensitively on the assumed potential, which is not measured, so predictions are model-dependent
  • Whether the resulting crunch is a true singularity or transitions to a bounce depends on unknown Planck-scale physics
Key unresolved problem
The scenario needs a closed, super-critical universe, but the measured near-perfect flatness and the observed positive dark energy together leave it with no room in the current data.
The whole scenario turns on the future sign of the dark-energy potential, a feature no current observation constrains, so it can place the crunch anywhere from soon to never.
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