JOIN (SELECT ... ) ue ON 1=1?

The intention is an unconditional LEFT JOIN, which is different from a CROSS JOIN in that all rows from the left table expression are returned, even if there is no match in the right table expression - while a CROSS JOIN drops such rows from the result. More on joins in the manual.

However:

1=1 is pointless in Postgres and all derivatives including Amazon Redshift. Just use true. This has probably been carried over from another RDBMS that does not support the boolean type properly.

... LEFT JOIN (SELECT  ...) ue ON true

Then again, LEFT JOIN is pointless for this particular subquery with SELECT MIN(modified) FROM user on the right, because a SELECT with an aggregate function (min()) and no GROUP BY clause always returns exactly one row. This case (but not other cases where no row might be found) can be simplified to:

... CROSS JOIN (SELECT MIN(modified) AS first_modified FROM user) ue

My answer illustrates on top of Erwin's answers with an example.

Suppose you have three tables A1, B1, & C1(empty)

A1 -

+-+
|a|
+-+
|2|
|1|
|3|
+-+

B1 -

+----+
|b   |
+----+
|a   |
|b   |
|c   |
|NULL|
+----+

C1 -

+----+
|c   |
+----+

When joining table A1 & B1, on 1=1 behaves same as CROSS JOIN.

select * from a1 left join b1 on 1=1;
select * from a1 cross join b1;

Result -

+-+----+
|a|b   |
+-+----+
|1|NULL|
|1|a   |
|1|b   |
|1|c   |
|2|NULL|
|2|a   |
|2|b   |
|2|c   |
|3|NULL|
|3|a   |
|3|b   |
|3|c   |
+-+----+

However, when we join A1 with C1, you get two different results

select * from a1 left join c1 on 1=1;

Result -

+-+----+
|a|c   |
+-+----+
|1|NULL|
|3|NULL|
|2|NULL|
+-+----+

For cross join -

select * from a1 cross join c1;

Result -

+-+-+
|a|c|
+-+-+

It's simply doing a cross join, which selects all rows from the first table and all rows from the second table and shows as cartesian product, i.e. with all possibilities.

JOIN (LEFT, INNER, RIGHT, etc.) statements normally require an 'ON ..." condition. Putting in 1=1 is like saying "1=1 is always true, do don't eliminate anything".