AbdulAlhazred
Legend
No. In 4e a given ladder has a DC, based on the level of challenge it represents. Fictionally a basic ordinary ladder is perhaps a level 1 challenge (if that). Every PC will thus have the same DC (15 I guess) to climb it. A level 30 PC won't need to even roll that check, he cannot possibly fail, and thus ordinary ladders, if they appear at all, are just terrain features or set dressing. Level 30 ladders (DC37 IIRC) are instead made of lightning bolts and are actively trying to throw the PC off them, and lead into a pocket dimension or something. First level PCs are not going here, and the DC37 pretty much guarantees that!Try looking at it this way:
Player 1 (level 30): "How difficult is it to climb this ladder?"
DM: "It's hard. The DC will be 30."
Player 2 (level 1): "Can I climb it?"
DM: "Sure, but it's still hard. The DC is 15 for you."
Numbers are not meant to be static in 4e. That is why scaling was designed to be easy, and player facing. The game assumes you're not going to have a group of character with more than a few levels apart.
Likewise, you can fight an ogre at level 8 and again at level 20. Keeping the same stats for the ogre at level 8 will not be a challenge for a party at level 20. But it is still an ogre. The game is simply designed to let you fight ogres any time rather than having them disappear because the player characters outgrew them.
I mean, @pemerton has argued that the DCs are really not STEEP ENOUGH to act as a sufficient fictional test in and of themselves. He has argued that part of the GM's job is to actively frame things in fictional terms appropriate to the character's level and thus some paragon PC simply will never encounter the lightning ladder, he's not fictionally ready for it, even though he might well be capable of passing a DC37 (some will, some won't, but its certainly likely a few level 19 PCs can do that for specific DCs).
Anyway, my main point stands, the same challenge NEVER has different DCs. DC is TIED TO THE FICTION, NOT THE CHARACTERS.