The theory of cosmic inflation remains unsolved for several reasons. Despite its ability to explain observations of the cosmic microwave background and large-scale structure of the universe, direct evidence for inflation is still lacking. The theory also requires very specific initial conditions, which seem finely tuned without further explanation. Numerous inflationary models exist, each with different predictions, making it hard to pinpoint the correct one. Moreover, our understanding of physics at the high energy scales of inflation, near the Planck scale, is incomplete without a developed theory of quantum gravity. Inflation also does not address the initial singularity problem, merely describing events after the singularity. Additionally, alternative theories like the ekpyrotic model challenge inflation's uniqueness, keeping the debate and research ongoing.
This discussion is to find a workable path towards a solution, no matter now far fetched it might be but just "a start" from a healthy discussions within the ResearchGate scientific community and maybe more.