I want to:
select * from v$database@standby;
Problem:
My goal is to display system information/stats from a standby Oracle database on a web page.
I'm using Oracle APEX. Pages are computed from mod_plsql which runs from an Oracle DB so it is easy to display the result of this kind of query.
Alternative:
I don't think you can do this, based on the few things I've seen via Google.
To sum up, connecting remotely as sysdba uses authentication via the password file. Database links do not attempt to authenticate this way, they are authenticated in the remote database and not externally.
Here's a link to a site that briefly touches upon the subject.