Physical Implications of the Minimal Discrete Épure

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Authors: Florian Gisbert
Cited by: 20
References: 2

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