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PreprintCC BY 4.0Zenodo

Sub-Planckian Matrix Spacetime (GMPS): Photon Time Delay, Landau Pole Resolution, and Gamma-Ray Burst Spectral Cutoff Analysis

  • Mohamed Abdel momen Abu Borda
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Abstract

This preprint presents a comprehensive theoretical framework and numerical validation for the Sub-Planckian Matrix Spacetime (GMPS). We investigate modified photon dispersion relations, the resolution of the Landau pole via quantum gravitational matrix modifications, and spectral cutoffs derived from gamma-ray burst (GRB) observational data—including Fermi-LAT and LHAASO events such as GRB 090510, GRB 080916C, GRB 130427A, and GRB 221009A. The accompanying Python optimization code validates the theoretical parameters, including scale factor gamma, power-law index alpha, cosmological evolution index beta, absorption factor, and cutoff energy under Planck 2018 Lambda-CDM cosmology.

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Cite

BibTeXRIS
BibTeX
@misc{borda2026subplanckian,
  title = {{Sub-Planckian Matrix Spacetime (GMPS): Photon Time Delay, Landau Pole Resolution, and Gamma-Ray Burst Spectral Cutoff Analysis}},
  author = {Mohamed Abdel momen Abu Borda},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23421633},
  url = {https://zenodo.org/records/23421633},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Sub-Planckian Matrix Spacetime (GMPS): Photon Time Delay, Landau Pole Resolution, and Gamma-Ray Burst Spectral Cutoff Analysis
AU  - Mohamed Abdel momen Abu Borda
PY  - 2026
DA  - 2026/10/16
PB  - Zenodo
DO  - 10.5281/zenodo.23421633
UR  - https://zenodo.org/records/23421633
AB  - This preprint presents a comprehensive theoretical framework and numerical validation for the Sub-Planckian Matrix Spacetime (GMPS). We investigate modified photon dispersion relations, the resolution of the Landau pole via quantum gravitational matrix modifications, and spectral cutoffs derived from gamma-ray burst (GRB) observational data—including Fermi-LAT and LHAASO events such as GRB 090510, GRB 080916C, GRB 130427A, and GRB 221009A. The accompanying Python optimization code validates the theoretical parameters, including scale factor gamma, power-law index alpha, cosmological evolution index beta, absorption factor, and cutoff energy under Planck 2018 Lambda-CDM cosmology.
ER  -