2026-10-23 · arXiv Quantum Physics
arXiv:2511.11379v2 Announce Type: replace-cross
Abstract: Tachyons are hypothetical particles that propagate faster than light, yet they have never been observed in nature or in the laboratory. In this work, we introduce the $H_2^+$ molecule as an analogue for the dynamics of a spinless test particle interacting with the gravitational field generated by a tachyon. The tachyonic spacetime is modeled using an AII metric, and the problem is analyzed through the Klein--Gordon equation for a scalar field in this background. We compute the quasi-normal modes and the Hawking radiation spectrum associated with the system. By introducing a specific external potential --- defined precisely for this purpose and fine--tuned through a careful comparison of system constants --- we demonstrate that both the radial and angular components of a test particle's wave function can be effectively reproduced by the electronic dynamics within $H_2^+$. We thus propose a mathematical framework for studying a molecular analog model of an extreme gravitational system.
原文链接：https://arxiv.org/abs/2511.11379
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