Author only access to tab menu of node
Under access callback you have TRUE, just change this to a function that evaluates whether the current user is the author of the current node. The function would look like this

function yourmodule_check_author() {
  global $user;
  $node = menu_get_object();
  return $node-&gt;uid == $user-&gt;uid;
}


Check this post. You will get more insight on the inner workings of the function.