Needs some tweaking but why not?
If you want to show the user's real name you open viewtopic.php, go for line 186 (or around there) and change this:
$result = $db->query('SELECT u.email, u.title, u.url, u.location, u.use_avatar, u.signature, u.email_setting, u.num_posts, u.registered, u.admin_note, p.id, p.poster AS username, p.poster_id, p.poster_ip, p.poster_email, p.message, p.hide_smilies, p.posted, p.edited, p.edited_by, g.g_id, g.g_user_title, o.user_id AS is_online FROM '.$db->prefix.'posts AS p INNER JOIN '.$db->prefix.'users AS u ON u.id=p.poster_id INNER JOIN '.$db->prefix.'groups AS g ON g.g_id=u.group_id LEFT JOIN '.$db->prefix.'online AS o ON (o.user_id=u.id AND o.user_id!=1 AND o.idle=0) WHERE p.topic_id='.$id.' ORDER BY p.id LIMIT '.$start_from.','.$pun_user['disp_posts'], true) or error('Unable to fetch post info', __FILE__, __LINE__, $db->error());
To this
$result = $db->query('SELECT u.email, u.title, u.realname, u.url, u.location, u.use_avatar, u.signature, u.email_setting, u.num_posts, u.registered, u.admin_note, p.id, p.poster AS username, p.poster_id, p.poster_ip, p.poster_email, p.message, p.hide_smilies, p.posted, p.edited, p.edited_by, g.g_id, g.g_user_title, o.user_id AS is_online FROM '.$db->prefix.'posts AS p INNER JOIN '.$db->prefix.'users AS u ON u.id=p.poster_id INNER JOIN '.$db->prefix.'groups AS g ON g.g_id=u.group_id LEFT JOIN '.$db->prefix.'online AS o ON (o.user_id=u.id AND o.user_id!=1 AND o.idle=0) WHERE p.topic_id='.$id.' ORDER BY p.id LIMIT '.$start_from.','.$pun_user['disp_posts'], true) or error('Unable to fetch post info', __FILE__, __LINE__, $db->error());
and then go for line 200 or around and change
$username = '<a href="profile.php?id='.$cur_post['poster_id'].'">'.pun_htmlspecialchars($cur_post['username']).'</a>';
to
$username = '<a href="profile.php?id='.$cur_post['poster_id'].'">'.pun_htmlspecialchars($cur_post['realname']).'</a>';
That should do the trick.
Forcing people to enter their real name, however, is a lot more difficult because it involves forcing them to enter another profile page and enter something there.....
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