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Tryon Vacuum Fluctuation vs Hartle-Hawking No-Boundary

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Quantum Tunneling Origin· within family
Tryon Vacuum Fluctuation
1973 · Historical
Hartle-Hawking No-Boundary
1983 · Speculative
Proposed
1973
1983
Key figures
Edward Tryon
James Hartle, Stephen Hawking
In one sentence
Tryon's 1973 Nature paper proposed the universe is a quantum fluctuation with zero net energy, the historical precursor to all "universe from nothing" proposals.
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.
Predictions
  • Total energy of universe ~ 0
  • Universes can spontaneously fluctuate from vacuum
  • No initial [[singularity]]
  • Universe wavefunction smooth at a = 0
  • Predicts a specific spectrum of cosmological perturbations
Where it breaks
  • Tryon's proposal still presupposes a quantum vacuum and laws, not truly nothing
  • Vilenkin (1982) provides the rigorous framework Tryon lacked
  • 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.
Key unresolved problem
The pre-existing vacuum problem: Tryon's proposal still starts from a quantum vacuum that already comes with physical laws and geometry, so it explains the universe but not where those prior ingredients came from.
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.
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