I see no reason to assume that a user understands what HTTP sessions are on a site where the userbase is non-technical like gmail or Facebook or the vast majority of sites online. Mentioning sessions to them will detract from their experience. Furthermore, I don't think a technical user would be offended by use of a non technical term like login/signin if there's no need for a technical one.
Finally, I don't see any clear distinction between session/create and session/new. I'm confused about which one corresponds to creating an account vs logging in. I'd say confusing terminology like that is far worse for user experience than any of the log/sign options.
Finally, I don't see any clear distinction between session/create and session/new. I'm confused about which one corresponds to creating an account vs logging in. I'd say confusing terminology like that is far worse for user experience than any of the log/sign options.