Using mysql aliases to select columns from 2 tables

It is not an alias problem that you have. You are performing a CROSS JOIN on the table which creates a cartesian result set.

This multiplies your result set so every row from table_a is matched directly to every row in table_b.

If you want to JOIN the tables together, then you need some column to join the tables on.

If you have a column to JOIN on, then your query will be:

select a.open as a_open,
  b.open as b_open
from table_a a
inner join table_b b
  on a.yourCol = b.yourCol

If you do not have a column that can be used to join on, then you can create a user-defined variable to do this which will create a row number for each row.

select 
   a.open a_open, 
   b.open b_open
from
(
  select open, a_row
  from
  (
    select open,
      @curRow := @curRow + 1 AS a_row
    from table_a
    cross join (SELECT @curRow := 0) c
  ) a
) a
inner join
(
  select open, b_row
  from 
  (
    select open,
      @curRow := @curRow + 1 AS b_row
    from table_b 
    cross join (SELECT @curRow := 0) c
  ) b
) b
  on a.a_row = b.b_row;

See SQL Fiddle with Demo

You need a column that may be used to join that two tables.

You can try generating a pseudo-column as a row number, but I'm not sure that it's what you're trying to achieve. This should look like that (can test it right now, but the idea is clear):

SELECT
    a.open, b.open
FROM
    (SELECT
        open, @curRow := @curRow + 1 AS row_number
     FROM
        table_a
     JOIN
        (SELECT @curRow := 0)
    ) a
JOIN
    (SELECT
        open, @curRow := @curRow + 1 AS row_number
     FROM
        table_b
     JOIN
        (SELECT @curRow := 0)
    ) b
ON
    a.row_number = b.row_number