This work demonstrates the application of an explicit time field to restore continuity in quantum gravity, implying a unified description of temporal dynamics.
Key Points
This research aims to address the problem of time in quantum gravity by introducing an explicit time field.
Revisited the Wheeler–DeWitt equation.
Introduced a scalar field representing time with its conjugate momentum.
Incorporated the time field into the canonical Hamiltonian structure.
Analyzed the implications of this new framework for quantum gravity and related theories.
Restored intrinsic evolution in the Wheeler–DeWitt equation.
Demonstrated unique selection of the dimensionless constant χ ≈ 0.551 based on internal consistency.
Showed that other parameter regimes do not support stable evolution or well-defined limits.
Unified static and evolving descriptions under one canonical structure.