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Chapter 01 · Before the Universe/Quantum Tunneling Origin

Vilenkin's Tunneling from Nothing

1982 · Alexander Vilenkin

The universe quantum-tunneled from literal nothing, no space, no time, no fields.

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In one sentence

Vilenkin proposed in 1982 that the universe quantum-tunneled into existence from a state with no space, no time, no fields, literal nothing.

The claim

Vilenkin's proposal is the most ontologically radical. He claims our universe came from literal nothing, not from a quantum vacuum or an empty space. The mathematics treats it like quantum tunneling in particle physics, where a particle passes through an energy barrier it should not classically be able to cross.

A quantum vacuum already has structure: space, fields, laws, a Hilbert space. Vilenkin's "nothing" has none of those. It is the absence of geometry itself. The size of the universe tunnels through a forbidden region from zero to a small inflating sphere, then begins to inflate normally.

The family stance

Either literally nothing (Vilenkin), or a state without a temporal boundary (Hartle-Hawking), or a zero-energy quantum fluctuation (Tryon). All deny that a classical "before" makes sense.

Predictions

  • Inflation begins naturally with high probability after tunneling
  • Universe is initially small, closed, and de Sitter-like
  • No contracting phase before the Bang

Evidence

  • Inflation is observationally well-supported
  • Math is consistent with quantum cosmology formalism

Counterpoints

  • Krauss: still requires quantum laws, so not really nothing
  • Hawking & Bousso (1995): catastrophic particle production
  • Penrose: ignores Weyl curvature hypothesis
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Go deeperTechnical detail with proper terminology

Vilenkin uses the Wheeler-DeWitt equation Ĥψ = 0 in minisuperspace (closed FRW with scale factor a as coordinate). The state of "nothing" corresponds to a = 0.

The scale factor tunnels through the classically forbidden region (a < a_min ~ H⁻¹) to emerge as de Sitter spacetime. Probability amplitude ~ exp(-I_E) where I_E is the Euclidean instanton action.

Boundary condition: "outgoing waves only" at a = 0. This distinguishes the proposal from Hartle-Hawking.

References

  1. Established
    Vilenkin (1982). Phys. Lett. B 117, 25
  2. Established
    Vilenkin (1988). Phys. Rev. D 37, 888
  3. Established
    Hawking & Bousso (1995). Phys. Rev. D 52, 5658

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