![Author ORCID: We display the ORCID iD icon alongside authors names on our website to acknowledge that the ORCiD has been authenticated when entered by the user. To view the users ORCiD record click the icon. [opens in a new tab]](https://www.cambridge.org/engage/assets/public/coe/logo/orcid.png){kind=logo}
Abstract
Abstract: Synthetic superluminal rotation in temporally modulated metamaterials provides a physical realization of operator‑spectral energy extraction analogous to the Penrose–Zel’dovich mechanism. χ‑Operator Geometry interprets this phenomenon as a boundary‑spectral transformation generated by χ‑curvature, producing angular‑momentum spectral gaps and enabling χ‑vacuum resonance. The framework establishes a unified operator‑spectral description of synthetic rotation, spectral amplification, and energy transfer from modulated spacetime.
