Quantum-inspired wormholes from String T-Duality (2506.17950v1)

Abstract: The intrinsic non-perturbative features of string-theoretic corrections, particularly those arising from T-duality, have been shown to naturally introduce an effective ultraviolet (UV) cutoff into the gravitational framework. This cutoff, often referred to as the zero-point length in the context of path integral duality, acts as a fundamental minimal length scale that regulates short-distance divergences. Using the established correspondence between T-duality and path integral duality, it has been shown that the static Newtonian potential becomes regularized at small distances. Building upon this regular behavior, we proceed to construct self-consistent, spherically symmetric, and electrically neutral wormhole solutions, which remain free of curvature singularities and embodies the effects of this duality-induced UV completion. We explore wormhole configurations with the aim of minimizing violations of the null energy condition (NEC). In fact, solutions with a constant redshift function or specific shape functions generally exhibit NEC violations throughout the entire spacetime. To address this, we explore two distinct thin shell constructions: (i) wormholes formed by matching an interior wormhole geometry to an exterior Schwarzschild vacuum spacetime, thereby confining exotic matter to a localized region; and (ii) standard thin-shell wormholes generated by gluing two identical black hole spacetimes across a timelike hypersurface situated outside their event horizons. In both cases, the NEC violations are minimised and restricted to a finite region, improving the physical plausibility and traversability of the resulting configurations.

Quantum-Inspired Wormholes from String T-Duality

The paper "Quantum-inspired wormholes from String T-Duality" presents an innovative approach to formulating wormhole solutions within the framework of string theory influenced by T-duality. Through this exploration, the authors aim to address the non-perturbative modifications introduced by string-theoretic corrections, offering novel insights and constructions of traversable wormholes.

Key Concepts and Methodology

The authors introduce an effective ultraviolet (UV) cutoff, referred to as the zero-point length, arising from the path integral duality principle which is central to T-duality. This minimal length scale serves as a regulator of short-distance divergences and embodies quantum gravitational corrections in the investigated spacetime geometries. By leveraging the regularization of the static Newtonian potential via this UV completion, the paper constructs self-consistent, spherically symmetric, and electrically neutral wormhole solutions. These solutions notably avoid curvature singularities, addressing a long-standing challenge in gravitational studies.

The paper meticulously explores wormhole configurations aiming to minimize violations of the null energy condition (NEC). As exotic matter is typically necessary to sustain wormhole throats, the authors employ techniques such as the matching of interior wormhole geometries to exterior Schwarzschild vacuum spacetimes and the construction of thin-shell wormholes via the cut-and-paste method. These methods help confine areas of NEC violations to localized finite regions, enhancing the physical plausibility and traversability of the resulting wormhole structures.

Numerical Results and Implications

Through detailed analytical exploration, the authors derive constraints and conditions under which their proposed wormhole solutions can exist. They demonstrate how the zero-point length effectively influences both the geometry and the thermodynamic properties of these configurations. In particular, the wormhole solutions developed exhibit regularized energy density behaviors and modified matter configurations arising from smeared distribution interpretations rather than singularities traditionally associated with pointlike sources.

The implications of these findings are manifold. Practically, the models suggest methods to create physically admissible wormhole solutions that remain asymptotically flat and geodesically complete while incorporating quantum corrections naturally. Theoretically, the frameworks offer deeper insights into the role of string T-duality corrections in modifying gravitational dynamics and further emphasize the robustness of T-duality as a singularity resolution mechanism.

Speculations on Future Developments

This work paves the way for new research directions in quantum gravity and wormhole physics, particularly in extending these solutions to charged or rotating configurations and examining how these constructions might interact with other cosmological elements. The implications in addressing singularities in black hole physics and probing the quantum nature of spacetime could lead to significant advancements in theoretical physics.

Additionally, the approach of minimizing NEC violations can inform future explorations into exotic matter theories, potentially yielding traversable wormholes with more consistent classical attributes. Further research could assess the stability of these constructions under perturbations and seek deeper connections between quantum geometry and entanglement theories.

By providing these insights, the paper enriches the dialogue in quantum gravity research, offering a promising blueprint to construct and understand wormholes influenced by advanced string-theoretic principles.