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χ‑Operator Geometry of Synthetic Superluminal Rotation: Spectral Extraction of Energy from Modulated Spacetime

  • Anatolii Mukha1
  1. 1Independent Researcher , retired person Kharkiv , Ukraine
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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.

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Cite

BibTeXRIS
BibTeX
@misc{mukha2026χoperator,
  title = {{χ‑Operator Geometry of Synthetic Superluminal Rotation: Spectral Extraction of Energy from Modulated Spacetime}},
  author = {Anatolii Mukha},
  year = {2026},
  month = aug,
  doi = {10.33774/coe-2026-hfq71},
  url = {https://doi.org/10.33774/coe-2026-hfq71},
  note = {CC BY},
}
RIS
TY  - UNPB
TI  - χ‑Operator Geometry of Synthetic Superluminal Rotation: Spectral Extraction of Energy from Modulated Spacetime
AU  - Anatolii Mukha
PY  - 2026
DA  - 2026/08/19
DO  - 10.33774/coe-2026-hfq71
UR  - https://doi.org/10.33774/coe-2026-hfq71
AB  - 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.
ER  -