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March 28, 2026Open Access

Non-Perturbative Constraints on the Emergent Constant CG₂ in the EGESB–G₂ Framework (Companion Technical Note to Version 7)

Key Points

This work aims to establish non-perturbative constraints on the emergent constant C_G₂ within the EGESB–G₂ framework.
Derived constraints using functional renormalization group (FRG) techniques.
Applied large-N saddle-point approximation.
Utilized entanglement entropy bounds for theoretical support.
Identified the interval 0.63 ≤ C_G₂ ≤ 1.00 as the confirmed range for the emergent constant.
Established that the constant has a non-topological origin.
Ensured compatibility with Version 7 of the EGESB framework.

Abstract

This technical note derives non-perturbative constraints on the emergent constant CG₂ within the EGESB–G₂ framework. Three independent approaches are combined: • Functional Renormalization Group (FRG) • Large-N saddle-point approximation• Entanglement entropy bounds The resulting interval 0. 63 ≤ CG₂ ≤ 1. 00 confirms the emergent, non-topological origin of the constant and remains fully consistent with Version 7 of the EGESB framework. This note serves as a methodological companion providing theoretical stabilization without modifying the core equations.

Non-Perturbative Constraints on the Emergent Constant CG₂ in the EGESB–G₂ Framework (Companion Technical Note to Version 7)

Key Points

Abstract

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