If you want to add TIME values, one from each row (as I think you want to do), this should work:
$query = "SELECT SEC_TO_TIME(SUM(TIME_TO_SEC(time_field))) " .
"AS sum_time FROM my_table";
To add values in each row:
$query = "SELECT ADDTIME(time_a, time_b) AS total_time FROM my_table";
I think, but I'm not sure, that you'll need at least MySQL v. 4.1 for these to work.
Edit: The MySQL data types TIMESTAMP and TIME aren't the same thing, and the Unix timestamp is something else again.
Data Types
Date and Time Functions