I contacted a professor X at an university in UK regarding a PhD position in a particular area of mathematics. I briefly described my research interests in my email to which the professor encouraged me to apply officially since the department has a centralized admission process. So I submitted my application two weeks ago and the deadline was on 7 January. Next day (8 Jan), the professor invited me for an online interview. The interview took place yesterday. There were three more people on the panel; 2 profs. and a postdoc all working in the same area as X. The interview wasn't a technical one and they asked me about background in mathematics, academic history, research work and stuff like that. In return I also asked a few questions from a series of papers published by Prof. X, his future projects, and some general questions regarding the programme. It went on for an hour and everything went well. Although I feel maybe I could have added some more detail in my description of my previous research works. At the end, they informed me that I will be informed about the admission committee if I will be getting any funding or not as an international student and I thanked them for this opportunity. So, I thought maybe this was an unofficial acceptance and I only have to wait for a confirmation on funding. After the interview I emailed the professor around 1 p.m. GMT to confirm the same and thanked him again for the interview. But I haven't received any response from him yet. In all our previous communications he has always replied within 2-3 hours as long as he received the email within official business hours.
Questions 1. Should I consider this as an unofficial acceptance?
Is the official acceptance conditioned upon receiving full funding from the department and which will be decided by the admission committee?
What generally happens after these interviews? Do the professors recommend students to the admission committee who they want to take in as their student? In that case, does his silence mean he has rejected me?
As an international student I am unfamiliar with the admission process at universities in UK. So, any answers or perspectives preferably from other professors in UK or somebody who is familiar with the system there would be highly appreciated.