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March 10, 2026Physics Letters BOpen Access

Bohmian Quantum Cosmology from the Wheeler-DeWitt Equation

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Authors

SBSpyros BasilakosGKGerasimos KouniatalisNational Technical University of AthensESEmmanuel N. SaridakisUniversity of Science and Technology of China

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Implication

This model demonstrates deterministic cosmic expansion in a flat universe with a scalar field, suggesting significant implications for dark matter and energy.

Key Points

  • This research aims to develop a Bohmian quantum cosmological model using the Wheeler-DeWitt equation.
  • Constructed a model for a flat Friedmann-Robertson-Walker universe with a scalar field.
  • Derived the minisuperspace Lagrangian and canonical Hamiltonian formulation.
  • Applied a canonical transformation to simplify the minisuperspace dynamics.
  • Expressed Wheeler-DeWitt solutions using parabolic cylinder functions and continuous separation constants.
  • Used the de Broglie-Bohm formulation to derive guidance equations and a Bohmian Hubble parameter.
  • The model yields exactly solvable Wheeler-DeWitt solutions.
  • Bohmian trajectories provide a coherent cosmological expansion history.
  • The approach reproduces late-time ΛCDM behavior while showing quantum effects in early epochs.

Cite This Study

Basilakos et al. (2026) studied this question.

synapsesocial.com/papers/69af954870916d39fea4ca93https://doi.org/10.1016/j.physletb.2026.140339
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