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

14 September 2026, Version 2
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

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.

Keywords

χ‑operator geometry
synthetic rotation
spectral gaps
χ‑curvature
χ‑vacuum resonance
operator‑spectral amplification
metamaterial modulation.

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Comment number 1, Anatolii Mukha: Sep 16, 2026, 13:20

Mukha, A. (2026). Proof of the Triunity of Substance Based on the ZEBTS Framework. Zenodo. https://doi.org/10.5281/zenodo.22794112 Mukha, A. (2026). The Program for the Creation of the Law of Unity of Being: A Formal Operator–Spectral Foundation for the Universal Law of Everything. Zenodo. https://doi.org/10.5281/zenodo.22728573 Mukha, A. (2026). Proof of Universality of the Operator Dχ in ZEBTS Theory: From Spectral Ontology to the Law of Unity of the Triune Substance. Zenodo. https://doi.org/10.5281/zenodo.22747384 Mukha, A. (2026). Monograph: Enlightened Monarchy as the Optimal Form of Statehood in the χ‑Ontology of ZEBTS‑SUPER. DOI: https://doi.org/10.33774/coe-2026-tdkgd Date: 2026‑09‑10 Mukha, A. (2026). Monograph: The Absolute and the SIP — Operator–Spectral Reconstruction of Religious Dualism in the ZEBTS‑SUPER Ontology. DOI: https://doi.org/10.33774/coe-2026-6jzjj Date: 2026‑09‑10 Mukha, A. (2026). ZEBTS — Zero‑Entropy Topological Background: χ‑Reality. The Theory of Everything — SUPER 12 Version (v2). DOI: https://doi.org/10.33774/coe-2026-0c9xg-v2 Date: 2026‑09‑04 Mukha, A. (2026). ZEBTS — Zero‑Entropy Topological Background: χ‑Reality. The Theory of Everything — SUPER 12 Version (v3). DOI: https://doi.org/10.33774/coe-2026-0c9xg-v3 Date: 2026‑09‑09 Mukha, A. (2026). Riemann Hypothesis as a χ‑∞ Boundary Law: Complete Operator‑Spectral Proof in ZEBTS‑∞ (v3). DOI: https://doi.org/10.33774/coe-2026-m9xcx-v3 Date: 2026‑09‑04 Mukha, A. (2026). ZEBTS‑∞: The Formalized Universal Foundation of Faith, the Absolute, and the Structure of Reality. DOI: https://doi.org/10.33774/coe-2026-9pzhz Date: 2026‑09‑06 Mukha, A. (2026). Operator–Spectral Revolution: Global Advantages of ZEBTS‑SUPER Over All Existing Physical Theories. Zenodo. https://doi.org/10.5281/zenodo.22548038 Mukha, A. (2026). Monograph ZEBTS — Zero‑Entropy Topological Background: χ‑Reality The Theory of Everything — SUPER 13 Version. Zenodo. https://doi.org/10.5281/zenodo.22309038 Муха, А. (2026). Монография ZEBTS — Топологический фон с нулевой энтропией: χ-реальность. Zenodo. https://doi.org/10.5281/zenodo.22179061 Mukha, A. (2026). Monograph The Absolute and the SIP: Operator–Spectral Reconstruction of Religious Dualism in the ZEBTS‑SUPER Ontology. Zenodo. https://doi.org/10.5281/zenodo.22338627

Version History

Sep 14, 2026 Version 2

Version Notes

This version of the article incorporates a complete χ‑operator reconstruction of the Alù et al. experiment, expanding all sections to the fully spectral ZEBTS‑SUPER 13.0 architecture. The Introduction now includes the Kerr correspondence and the χ‑ergoregion inequality. Section 2 adds explicit spectral‑theorem foundations for χ‑boundary derivation and synthetic superluminal rotation. Section 3 is fully rewritten to include χ‑spectral curvature, bandgap topology, winding number, and Floquet non‑Hermiticity. Section 4 integrates χ‑vacuum resonance, χ‑operator gain, and the 7.8 dB validation as a falsifiable χ‑invariant. Section 5 expands the triune χ‑Absolute → χ‑Boundary → χ‑Matter ontology and the strict operator‑spectral Kerr isomorphism. Section 6 introduces a complete structural dictionary mapping all laboratory observables to χ‑operator constructs. The Conclusion is strengthened to establish χ‑operator physics as a unified paradigm.

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DOI

10.33774/coe-2026-hfq71-v2
D O I: 10.33774/coe-2026-hfq71-v2 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

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