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The ΛLEB Paradigm: A Unified Cosmological Framework Resolving the H0 Tension and the Quantum Vacuum Energy Crisis

Ayoub Issa

Zenodo (CERN European Organization for Nuclear Research), 2026

Abstract

This thesis introduces the ΛʟEB Paradigm, a novel and unified cosmological framework designed to resolve two of the most critical crises in modern theoretical physics: the Hubble tension and the quantum vacuum energy density discrepancy, also known as the Cosmological Constant Problem. By reformulating the interplay between quantum vacuum fluctuations and spacetime geometry, the paradigm introduces a dynamically evolving dark energy component governed by the LambdaL scale. This approach effectively bridges the gap between early-universe Cosmic Microwave Background measurements and late-universe local observations of the Hubble constant without invoking ad-hoc scalar fields. Furthermore, the model provides a natural mechanism for the suppression of the quantum vacuum energy contribution to the gravitational field, matching the observed dark energy density to within cosmological bounds. The mathematical formulations, observational constraints, and predictions for future cosmological surveys are presented in detail.

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