Physical Implications of the Minimal Discrete Épure
Abstract
We derive three falsifiable, parameter-free physical predictions from the hypothesis (H) that Planck-scale spacetime carries the geometry of the Minimal Discrete Épure G■. (P1) A photon Lorentz-invariance-violation coefficient ξ₂=−0.028549 (subluminal), testable by CTA around 2030. (P2) A black-hole minimum entropy incommensurable with the loop-quantum-gravity spectrum, implying a quantum-error-correction threshold testable via gravitational-wave echoes. (P3) A Barbero–Immirzi parameter ≈0.1804, distinguishing the épure from all LQG variants. All predictions are explicitly conditional on hypothesis (H). An additional structural result describes the co-emergence of space and time from the unfolding. Results verified numerically.
Fields of Study & Subjects
Noncommutative and Quantum Gravity Theories
Cosmology and Gravitation Theories
Quantum Electrodynamics and Casimir Effect
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 17 April 2026
- Language
- EN
- Document type
- Preprint