diff --git a/datafusion/optimizer/src/simplify_expressions/expr_simplifier.rs b/datafusion/optimizer/src/simplify_expressions/expr_simplifier.rs
index 9003467703df2..591f479e641a0 100644
--- a/datafusion/optimizer/src/simplify_expressions/expr_simplifier.rs
+++ b/datafusion/optimizer/src/simplify_expressions/expr_simplifier.rs
@@ -760,6 +760,25 @@ impl<S: SimplifyInfo> TreeNodeRewriter for Simplifier<'_, S> {
                     None => lit_bool_null(),
                 })
             }
+            // According to SQL's null semantics, NULL = NULL evaluates to NULL
+            // Both sides are the same expression (A = A) and A is non-volatile expression
+            // A = A --> A IS NOT NULL OR NULL
+            // A = A --> true (if A not nullable)
+            Expr::BinaryExpr(BinaryExpr {
+                left,
+                op: Eq,
+                right,
+            }) if (left == right) & !left.is_volatile() => {
+                Transformed::yes(match !info.nullable(&left)? {
+                    true => lit(true),
+                    false => Expr::BinaryExpr(BinaryExpr {
+                        left: Box::new(Expr::IsNotNull(left)),
+                        op: Or,
+                        right: Box::new(lit_bool_null()),
+                    }),
+                })
+            }
+
             // Rules for NotEq
             //
 
@@ -2152,6 +2171,21 @@ mod tests {
         }
     }
 
+    #[test]
+    fn test_simplify_eq_not_self() {
+        // `expr_a`: column `c2` is nullable, so `c2 = c2` simplifies to `c2 IS NOT NULL OR NULL`
+        // This ensures the expression is only true when `c2` is not NULL, accounting for SQL's NULL semantics.
+        let expr_a = col("c2").eq(col("c2"));
+        let expected_a = col("c2").is_not_null().or(lit_bool_null());
+
+        // `expr_b`: column `c2_non_null` is explicitly non-nullable, so `c2_non_null = c2_non_null` is always true
+        let expr_b = col("c2_non_null").eq(col("c2_non_null"));
+        let expected_b = lit(true);
+
+        assert_eq!(simplify(expr_a), expected_a);
+        assert_eq!(simplify(expr_b), expected_b);
+    }
+
     #[test]
     fn test_simplify_or_true() {
         let expr_a = col("c2").or(lit(true));
diff --git a/datafusion/sqllogictest/test_files/array.slt b/datafusion/sqllogictest/test_files/array.slt
index f9bbcedff5eef..f165d3bf66ba0 100644
--- a/datafusion/sqllogictest/test_files/array.slt
+++ b/datafusion/sqllogictest/test_files/array.slt
@@ -6130,7 +6130,8 @@ select count(*) from test WHERE array_has([needle], needle);
 ----
 100000
 
-# TODO: this should probably be possible to completely remove the filter as always true?
+# The optimizer does not currently eliminate the filter; 
+# Instead, it's rewritten as `IS NULL OR NOT NULL` due to SQL null semantics
 query TT
 explain with test AS (SELECT substr(md5(i::text)::text, 1, 32) as needle FROM generate_series(1, 100000) t(i))
 select count(*) from test WHERE array_has([needle], needle);
@@ -6140,10 +6141,9 @@ logical_plan
 02)--Aggregate: groupBy=[[]], aggr=[[count(Int64(1))]]
 03)----SubqueryAlias: test
 04)------SubqueryAlias: t
-05)--------Projection:
-06)----------Filter: __common_expr_3 = __common_expr_3
-07)------------Projection: substr(CAST(md5(CAST(tmp_table.value AS Utf8)) AS Utf8), Int64(1), Int64(32)) AS __common_expr_3
-08)--------------TableScan: tmp_table projection=[value]
+05)--------Projection: 
+06)----------Filter: substr(CAST(md5(CAST(tmp_table.value AS Utf8)) AS Utf8), Int64(1), Int64(32)) IS NOT NULL OR Boolean(NULL)
+07)------------TableScan: tmp_table projection=[value]
 physical_plan
 01)ProjectionExec: expr=[count(Int64(1))@0 as count(*)]
 02)--AggregateExec: mode=Final, gby=[], aggr=[count(Int64(1))]
@@ -6151,10 +6151,9 @@ physical_plan
 04)------AggregateExec: mode=Partial, gby=[], aggr=[count(Int64(1))]
 05)--------ProjectionExec: expr=[]
 06)----------CoalesceBatchesExec: target_batch_size=8192
-07)------------FilterExec: __common_expr_3@0 = __common_expr_3@0
-08)--------------ProjectionExec: expr=[substr(md5(CAST(value@0 AS Utf8)), 1, 32) as __common_expr_3]
-09)----------------RepartitionExec: partitioning=RoundRobinBatch(4), input_partitions=1
-10)------------------LazyMemoryExec: partitions=1, batch_generators=[generate_series: start=1, end=100000, batch_size=8192]
+07)------------FilterExec: substr(md5(CAST(value@0 AS Utf8)), 1, 32) IS NOT NULL OR NULL
+08)--------------RepartitionExec: partitioning=RoundRobinBatch(4), input_partitions=1
+09)----------------LazyMemoryExec: partitions=1, batch_generators=[generate_series: start=1, end=100000, batch_size=8192]
 
 # any operator
 query ?
diff --git a/datafusion/sqllogictest/test_files/simplify_expr.slt b/datafusion/sqllogictest/test_files/simplify_expr.slt
index 43193fb41cfad..90785fd939962 100644
--- a/datafusion/sqllogictest/test_files/simplify_expr.slt
+++ b/datafusion/sqllogictest/test_files/simplify_expr.slt
@@ -63,5 +63,16 @@ query T
 select b from t where b !~ '.*'
 ----
 
+query TT
+explain select * from t where a = a;
+----
+logical_plan
+01)Filter: t.a IS NOT NULL OR Boolean(NULL)
+02)--TableScan: t projection=[a, b]
+physical_plan
+01)CoalesceBatchesExec: target_batch_size=8192
+02)--FilterExec: a@0 IS NOT NULL OR NULL
+03)----DataSourceExec: partitions=1, partition_sizes=[1]
+
 statement ok
 drop table t;