@freemo That's an interesting question to put it mildly! I think a new social contract would need, at the very minimum, to consider:

(a) the necessity of a written constitution;

(b) seriously enhanced devolved powers for Wales, Scotland and Northern Ireland;

(c) the disestablishment of the Church of England;

(d) a new bi-cameral form of government in which the upper ('revising') chamber was comprised of members elected from a gamut of non-political disciplines and interests (STEM of course but also the arts, philosophy, religion and law) through peer electoral colleges;

(e) a titular monarchy only without any means of patronage;

(f) a serious re-balancing of national and local government; and

(g) the formal establishment of 'People's Assemblies'

More generally, I see the future of democracy probably lies in a sort of non-ideological amalgam of sortition, expert systems and various forms of community participation.