Whether one calls it faith or premise, Science is based on the following assumptions:
(a) That the natural world can be understood and explained by the human mind in rational, coherent, and consistent ways by careful observation/experiments/measurements with instrument (when possible) using ideas and mathematics (when possible).
(b) That the laws of nature do not change with time or from place to place.
(c) That there are no supernatural forces/entities in the universe.
(d) That all scientific explanations/truths are in the context of human (scientific) knowledge at a given time in human history.
(e) That scientific knowledge belongs to and is achieved by a transcultural body of scientists who are not constrained by caste or creed, religion or race, nationality or politics (except now and then often unconsciously.
As to authority:
Any given time the body of experts in the field (i.e. people who have dedicate years to science and made contributions to the field are its authorities: That is, their opinions and judgment will always carry more weight than those who have made no significant contributions to the advancement of the scientific field involved. But even long established scientific authorities can be overthrown by new scientists if the latter bring new idea and insights that answer newer questions.