Signatures of spontaneous collapse-dynamics-modified single-field inflation

The observed classicality of primordial perturbations, despite their quantum origin during inflation, calls for a mechanism for a quantum-to-classical transition of these initial fluctuations. As the literature suggests a number of plausible mechanisms which try to address this issue, it is of importance to seek concrete observational signatures of the various approaches in order to have a better understanding of the early Universe dynamics. Among these several approaches, it is the spontaneous collapse dynamics of quantum mechanics which is most viable for leaving discrete observational signatures as the collapse mechanism inherently changes the generic quantum dynamics. We observe in this study that the observables from the scalar sector, i.e., scalar tilt ns, running of scalar tilt αs, and running of running of scalar tilt βs, cannot potentially distinguish a collapse-modified inflationary dynamics in the realm of canonical scalar field and k-inflationary scenarios. The only distinguishable imprint of the collapse mechanism lies in the observables of the tensor sector in the form of a modified consistency relation and a blue-tilted tensor spectrum only when the collapse parameter δ is nonzero and positive.