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Foundational principles of quantum gravity

Identify and formulate the basic principles that govern a complete non-perturbative theory of quantum gravity, beyond semiclassical approximations, so as to enable a full foundational formulation of the theory.

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Background

While the authors argue that quantum field theory’s non-perturbative formulation is an open mathematical problem, they stress that the barrier to a complete formulation of quantum gravity is more fundamental: a lack of known guiding principles.

This highlights a conceptual and foundational gap: even with tools like holography, the underlying axioms or principles for a full quantum gravity theory remain unidentified.

References

However, the analogous statements for quantum gravity are indeed unknown, and in particular that in quantum gravity the limitation towards a full formulation, at present, is not mathematical like in QFT, but rather that we do not really know the basic principles governing such a theory.

Dualities in Physics (2509.15866 - Haro et al., 19 Sep 2025) in Section 4.4 AdS-CFT and Bulk Reconstruction