Resolution criteria

This market will resolve to YES if a meaningful general formulation of Alexander Vilenkin's tunneling wave function of the universe—valid beyond highly symmetric, finite-dimensional "minisuperspace" toy models—is published in a reputable, peer-reviewed physics journal and achieves broad consensus within the quantum cosmology community prior to Vilenkin's death.

The market will resolve to NO upon the death of Alexander Vilenkin (born May 13, 1949) if no such general formulation has been established and accepted by the physics community, or if the tunneling wave function remains mathematically ill-defined or restricted to simplified toy models.

Resolution Guidelines:

• "Well-defined" requires a formulation that is proven to be mathematically consistent and free of pathological divergences or runaway perturbation instabilities in a general (non-perturbative) framework of quantum gravity.

• "Broad consensus" will be evaluated based on review papers, citations, and consensus among leading researchers in quantum cosmology (e.g., through prominent publications in journals like Physical Review D, Journal of High Energy Physics, or Classical and Quantum Gravity).

• Semiclassical approximations or formulations that only resolve the instability inside minisuperspace will not suffice for a YES resolution.

• The market creator will make the final determination based on academic literature and community consensus at the time of Vilenkin's death.

Background

Alexander Vilenkin introduced the "tunneling wave function of the universe" in the early 1980s as a proposal for the quantum creation of the universe from "nothing". Along with the Hartle-Hawking "no-boundary" proposal, it is one of the foundational ideas in quantum cosmology. However, both proposals have historically been mathematically well-defined only in highly simplified, symmetric "minisuperspace" models.

A major debate intensified in 2017 when physicists Job Feldbrugge, Jean-Luc Lehners, and Neil Turok applied Picard-Lefschetz theory to the Lorentzian path integral, arguing that the tunneling wave function suffers from unsuppressed, runaway perturbations that make it unstable and mathematically ill-defined. While Vilenkin and Masaki Yamada subsequently proposed fixes—such as introducing specific boundary terms and Robin boundary conditions—critics argue these remedies do not fully resolve the issues or are restricted to toy models. Research as of 2026 continues to explore new regularization schemes and operator-ordering formulations to make the wave function mathematically sound.

This description was generated by AI.