Chaos to Cosmos: Quantum Whispers and The Cosmic Genesis

Quantum fluctuations, usually arising from the inherent uncertanity in thequantum fields, are pivotal in understanding the the universe at both thesmall and large scales. Despite the fact that fluctuations are usually unob-servable rather small, they give significant observable effects during specificepochs under specific conditions. During the early epochs of the universe thefluctuations were scaled, resulting into the primordial density perturbationsthat gave rise to the large scale structure of universe and the observedinhomogenities. In this paper we study the basic origin, structure, evolutionand the imprints of fluctuations during inflationary period resulting into thelarge-scale structure formation. We use the Mukhanov-sasaki formalism tomodel scalar perturbations, embedding the theoretical results into observations.Theoretical predictions show almost scale-invariant power spectrum withstringent constraints on the inflationary parameters. It further states that inthe very early universe the inflatons that is quanta of primordial field werehighly filled in the degenerate quantum state. This carry large potential energythat resulted in an exponential expansion of universe. During post inflationaryperiod the inflaton dominated the Universe’s energy density; they interactamong themselves and due to non-linear effects, these inhomogeneities growwhich amalgamate into spatially distinguishable patches in our observableuniverse. Our understanding projects us towards the fact that fluctuationsplay a pivotal role in understanding the structure formation at micro, macro,and far-macro scales. This study also addresses the significance of quantum fluctuations in cosmic evolution and manifests the enduring relevance inaddressing some of the profound mysteries of our universe.