Light-Weight Identity for the Web Using Browser Sync and Push
gist.github.com
gist.github.com
We users trust our browsers a lot already. And they've been good stewards so far (such as end-to-end encryption of sync data). This proposal in meant to leverage browser sync and push to replace social logins such as Google, Facebook etc.
I think you might be underestimating the importance of this. I understand push notification servers are maintained by each browser vendor separately. Perhaps browsers should allow the user to route their push notifications to another browser's endpoint?