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Compare · Before the Universe

Hartle-Hawking No-Boundary vs Gott-Li Self-Creating Universe

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Quantum Tunneling Origin· within family
Hartle-Hawking No-Boundary
1983 · Speculative
Gott-Li Self-Creating Universe
1998 · Historical
Proposed
1983
1998
Key figures
James Hartle, Stephen Hawking
J. Richard Gott, Li-Xin Li
In one sentence
The universe has no temporal boundary at the beginning. In Euclidean time, the universe is a smooth four-dimensional surface with no edge, like asking what is south of the South Pole.
Gott and Li proposed in 1998 that the early universe contained a closed time loop, allowing the universe to literally create itself.
Predictions
  • No initial [[singularity]]
  • Universe wavefunction smooth at a = 0
  • Predicts a specific spectrum of cosmological perturbations
  • The very early universe contained closed timelike curves
  • A region of CTC geometry preceded the standard cosmological era
  • Some specific predictions about the early universe's geometry differ from standard Big Bang cosmology
Where it breaks
  • Feldbrugge, Lehners, Turok (2017) argue the proposal predicts an unstable universe
  • Direction of "outgoing" vs "incoming" mode is contested
  • A more careful mathematical analysis of the path integral suggests deeper problems, hinting the proposal may predict unstable outcomes (see Go Deeper)
  • Maldacena (2024) re-examines the no-boundary proposal and finds it predicts spatial curvature in conflict with observations, and is non-normalizable for landscape-like potentials.
  • Ivo, Li & Maldacena (2024) show that once you account for the regions of space we cannot observe, the mathematics of the no-boundary state leads to physically unrealistic predictions, sharpening the case against the original proposal.
  • Most physicists view closed timelike curves as unphysical or as a sign that general relativity breaks down
  • The proposal requires specific energy conditions that may not be physically realizable
  • No direct observational test
  • Stephen Hawking proposed a "Chronology Protection Conjecture" that argues physics conspires to prevent CTCs from forming
Key unresolved problem
The instability problem: a careful redo of the math by Feldbrugge, Lehners, and Turok suggests the no-boundary proposal predicts runaway, ever-growing fluctuations, which would mean an unstable universe rather than the smooth one we see.
The chronology protection problem: as Hawking argued, quantum effects likely pile up runaway energy wherever a closed timelike curve, a path that loops back in time, would form, destroying the time loop this proposal needs before it can exist.
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