A No-Go Theorem for Topological Bridges with Matter-Vacuum Coupling
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866913126117539840 |
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| author | Maier, Rodrigo |
| author_facet | Maier, Rodrigo |
| contents | Traversable topological bridges traditionally require exotic matter, violating the Null Energy Condition (NEC). This essay investigates whether matter-vacuum coupling can circumvent this necessity. Focusing on zero-tidal-force solutions, we establish a rigorous no-go theorem for static configurations, proving that such coupling cannot bypass the requirement for NEC violation. We demonstrate that the geometric flare-out condition is incompatible with NEC-compliant sources, regardless of the coupling $Q$ or equation of state. Crucially, the vacuum fails to shield the throat; instead, interaction gradients mathematically obstruct the required geometry. This result suggests that causality protection is inherent in the field equations, rendering the vacuum's evolution a regulator rather than a facilitator of topological shortcuts, thereby reinforcing the robustness of classical energy conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_14027 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A No-Go Theorem for Topological Bridges with Matter-Vacuum Coupling Maier, Rodrigo General Relativity and Quantum Cosmology Traversable topological bridges traditionally require exotic matter, violating the Null Energy Condition (NEC). This essay investigates whether matter-vacuum coupling can circumvent this necessity. Focusing on zero-tidal-force solutions, we establish a rigorous no-go theorem for static configurations, proving that such coupling cannot bypass the requirement for NEC violation. We demonstrate that the geometric flare-out condition is incompatible with NEC-compliant sources, regardless of the coupling $Q$ or equation of state. Crucially, the vacuum fails to shield the throat; instead, interaction gradients mathematically obstruct the required geometry. This result suggests that causality protection is inherent in the field equations, rendering the vacuum's evolution a regulator rather than a facilitator of topological shortcuts, thereby reinforcing the robustness of classical energy conditions. |
| title | A No-Go Theorem for Topological Bridges with Matter-Vacuum Coupling |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2605.14027 |