Quantum fluctuation and the dark Energy sector correlation problem in The universe model

Abstract

In this thesis, we studied quantumfluctuationandthedarkenergysectorcorrelation problem in the universe model. Quantum fluctuations, originating from the inherent uncertainty at the quantum level, and dark energy, hypothesized to drive the uni verse’s accelerated expansion, represent two fundamental yet enigmatic phenomena in modern cosmology. Despite significant advancements in understanding each in dependently, reconciling their relationship remains a profound challenge. Through a comprehensive review of theoretical frameworks and observational data, this study was investigated the theoretical basis for quantum fluctuations in the universe, and its relations to the dynamics of dark energy; inflationary models, quintessence mod els, and modified gravity theories address the correlation problem between quantum f luctuations and dark energy. Moreover we analyzed the observational evidence sup ports or challenges the correlation between quantum fluctuations and dark energy in the cosmic microwave background radiation and large-scale structure of the uni verse and the implications of the correlation between quantum fluctuations and dark energy for the fundamental nature of dark energy and its role in the evolution of the universe model.