It depends how you see "left" and "right". I see the left as promoting equality, and generally freedom, and the right justifying or increasing inequality. An authoritarian system by definition gives far more power to some people than others, which is an idea of the right. However, systems of government in practice are generally not strictly left or right, and you get the likes of the Soviet Union which gave some degree of economic equality but little equality in terms of power.

Chaos and order is another scale for left and right.

> freedom

I think this word should be banned from such comparisons. Equal outcome can equal opportunity and different takes on what matters. Right-wing libertarianism tends to be the most "pure technical freedom" for the individual but tends to lead to little practical freedom for those without significant capital.

You could rightfully argue that the far end of either in its pure form is the meaningful flavor of "freedom".

Authoritarianism is orthogonal to that, in either case.

Left to me feels more pro fairness but anti freedom. Either way though in most conceptualizations libertarianism/authoritarianism is usually separated from left/right

https://en.m.wikipedia.org/wiki/File:Political_Compass_stand...

It depends what freedoms you are talking about. In a communist system you wouldn't have the freedom to own somebody else's house and charge them rent, for example. It's interesting how we throw around concepts like "left" and "right", or "liberal" and "conservative", either not understanding what they mean, or having many different understandings. I'm puzzled about how we manage to communicate at all, but maybe we don't.

Specifically "liberal" has very different implications in NA vs Europe.

I'm a bit vague about how exactly it's used in different places. In Australia, it's the name of one of the major political parties, and it's considered a moderately "right wing" party. There was the classic 19th century liberalism, and its modern version neoliberalism.

I guess the Liberal Party in Australia has some similarities to the Conservative Party in the UK.