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PreprintCC BYZenodo (CERN European Organization for Nuclear Research)

Superluminal Gravitational Waves: Operator‑Topological Reconstruction in the ZEBTS‑SUPER Framework

Abstract

Classical general relativity describes gravitational waves as metric perturbations generated by accelerating massive bodies. However, this geometric picture does not explain their structure at Planck scales, does not incorporate topological transitions, and does not yield new testable predictions beyond the standard tensor formalism. We address this problem using the operator‑topological framework ZEBTS‑SUPER, where χ‑Absolute, χ‑Boundary, and χ‑Matter form a layered structure of physical reality. Gravitational waves are reconstructed as χ‑spectral responses generated by discontinuous transitions of the χ‑curvature operator Rχ and χ‑Dirac operator Dχ acting on flightron nodes. This approach yields measurable predictions: the existence of χ‑modes that do not project into metric perturbations; χ‑fragmentation signatures in neutron‑star mergers; and global χ‑Boundary reorganizations detectable by LISA. The reconstruction provides a mathematically consistent extension of gravitational‑wave physics beyond classical geometry.

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BibTeX
@misc{mukha2026superluminal,
  title = {{Superluminal Gravitational Waves: Operator‑Topological Reconstruction in the ZEBTS‑SUPER Framework}},
  author = {Anatolii Mukha},
  howpublished = {Zenodo (CERN European Organization for Nuclear Research)},
  year = {2026},
  month = jul,
  doi = {10.5281/zenodo.21548425},
  url = {https://doi.org/10.5281/zenodo.21548425},
  note = {CC BY},
}
RIS
TY  - UNPB
TI  - Superluminal Gravitational Waves: Operator‑Topological Reconstruction in the ZEBTS‑SUPER Framework
AU  - Anatolii Mukha
PY  - 2026
DA  - 2026/07/25
PB  - Zenodo (CERN European Organization for Nuclear Research)
DO  - 10.5281/zenodo.21548425
UR  - https://doi.org/10.5281/zenodo.21548425
AB  - Classical general relativity describes gravitational waves as metric perturbations generated by accelerating massive bodies. However, this geometric picture does not explain their structure at Planck scales, does not incorporate topological transitions, and does not yield new testable predictions beyond the standard tensor formalism. We address this problem using the operator‑topological framework ZEBTS‑SUPER, where χ‑Absolute, χ‑Boundary, and χ‑Matter form a layered structure of physical reality. Gravitational waves are reconstructed as χ‑spectral responses generated by discontinuous transitions of the χ‑curvature operator Rχ and χ‑Dirac operator Dχ acting on flightron nodes. This approach yields measurable predictions: the existence of χ‑modes that do not project into metric perturbations; χ‑fragmentation signatures in neutron‑star mergers; and global χ‑Boundary reorganizations detectable by LISA. The reconstruction provides a mathematically consistent extension of gravitational‑wave physics beyond classical geometry.
ER  -