Area Monotonicity of Wormhole Throats and a Geometric Bound on Information Transfer
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915999557615616 |
|---|---|
| author | Altunkaynak, Fuat Berkin Tuncer, Aslı |
| author_facet | Altunkaynak, Fuat Berkin Tuncer, Aslı |
| contents | We develop a semiclassical geometric framework to constrain information transfer through traversable wormholes. This study is motivated by the growing intersection between spacetime geometry and quantum information theory, specifically the ER=EPR conjecture and the bit-thread formulation of holographic entropy. First, we prove a geometric monotonicity result for traversable wormhole throats, demonstrating that after a traversable window is established via an averaged null energy condition (ANEC) violating deformation, any subsequent signal-carrying matter satisfying the pointwise null energy condition (NEC) causes the throat cross-sectional area to be non-increasing. Second, we utilize this monotonicity to derive a semiclassical geometric upper bound on the number of independent quantum degrees of freedom (qubits) transmissible through the wormhole. This bound $Q_{\max} \leq A_{\min}/4G_N$, is motivated via the Max-Flow Min-Cut theorem for bit threads and interpreted as a geometric proxy for the holographic capacity of a quantum teleportation channel. We further discuss a holographic tensor-network analogy based on the HaPPY code, where the discrete max-flow/min-cut theorem provides an illustrative graph-theoretic counterpart of the bottleneck structure. Our results identify the wormhole throat as a natural geometric bottleneck, providing a geometric perspective on information-transfer limits in semiclassical gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22928 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Area Monotonicity of Wormhole Throats and a Geometric Bound on Information Transfer Altunkaynak, Fuat Berkin Tuncer, Aslı General Relativity and Quantum Cosmology High Energy Physics - Theory We develop a semiclassical geometric framework to constrain information transfer through traversable wormholes. This study is motivated by the growing intersection between spacetime geometry and quantum information theory, specifically the ER=EPR conjecture and the bit-thread formulation of holographic entropy. First, we prove a geometric monotonicity result for traversable wormhole throats, demonstrating that after a traversable window is established via an averaged null energy condition (ANEC) violating deformation, any subsequent signal-carrying matter satisfying the pointwise null energy condition (NEC) causes the throat cross-sectional area to be non-increasing. Second, we utilize this monotonicity to derive a semiclassical geometric upper bound on the number of independent quantum degrees of freedom (qubits) transmissible through the wormhole. This bound $Q_{\max} \leq A_{\min}/4G_N$, is motivated via the Max-Flow Min-Cut theorem for bit threads and interpreted as a geometric proxy for the holographic capacity of a quantum teleportation channel. We further discuss a holographic tensor-network analogy based on the HaPPY code, where the discrete max-flow/min-cut theorem provides an illustrative graph-theoretic counterpart of the bottleneck structure. Our results identify the wormhole throat as a natural geometric bottleneck, providing a geometric perspective on information-transfer limits in semiclassical gravity. |
| title | Area Monotonicity of Wormhole Throats and a Geometric Bound on Information Transfer |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.22928 |