Operational Quantum Gravity via Measurable Curvature Scalars ( ∆π ) : A Path toward a full theory of Quantum Gravity?
Abstract
This work introduces a novel approach to quantum gravity based on directly measurable curvature scalars, defined through the deviation of effective π (∆π) in curved spacetime. By replacing traditional tensorial curvature in the Wheeler–DeWitt equation with a scalar functional of ∆π, we obtain a fully scalar, operational, and potentially solvable framework for quantum gravity. Key features of this approach include: Direct connection between geometry and measurable quantities Regularization of singularities at the Planck scale Applicability to black holes, cosmology, and gravitational waves Simplification of the Wheeler–DeWitt equation while retaining quantum gravitational dynamics The paper presents derivations of curvature using ∆π formulation of the scalar Wheeler–DeWitt equation, and applications to Schwarzschild black holes and FRW cosmology. -------------------------- For collab or any questions : Email : S8914864@studenti.unige.it
Fields of Study & Subjects
Noncommutative and Quantum Gravity Theories
Quantum Electrodynamics and Casimir Effect
Black Holes and Theoretical Physics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 2 January 2026