I don't know anything about Aladdin, so any fan feel free to correct or provide information on my folllowing argument. I need actual info before I can give my vote
"Aladdin wins because Physics Manipulation and Vector Manipulation are listed on his Powers and Abilities section, therefore he can somehow null or counter Accelerator's power" is a poor argument. Because if the only thing supporting that argument and those two powers on his list is the scene on the link provided above then Accelerator should have very little issues killing him.
The link has people freaking out because Aladding can use "strength magic" to push, distort or accelerate objects (so basically, nothing Accelerator can't do nor anything new to him). This is apparently the source of his Vector Manipulation, right? Why would the sentence "Aladdin can alter the very laws that govern the forces of this world with one finger" be anything else but hyperbole and likely just the fluff explanation behind that type of magic. Accelerator, Kakine Teitoku and even freaking Uiharu manipulate, bend or outright ignore the laws of physics for their powers to work, it doesn't mean they can directly use that fact in combat in ways they haven't shown.
The sentence is there because Aladdin can manipulate vectors, aka motion, but nothing there implies he can Physics Manipulation in any other way, much less to nullify other people's powers. The Vector Manipulation shown in the link is also significantly below Accelerator's in terms of magnitude and complexity, so excuse if I don't believe he would be able to challenge Accelerator with that without more information.
So I ask for evidence of Aladdin using Physics Manipulation or Vector Manipulation to nullify Vector Manipulation on the level of strength and complexity of Accelerator.
Seriously, provide more arguments that just listing powers that aren't even explained in the abilities section, especially if those powers are just apparently fluff behind the actual results of the power. Otherwise I can say "Accelerator wins because Reality Warping and Probability Manipulation counters anything Aladdin tries to do", since Toaru's esper powers are based on those two things.
Also, I second the question of what Aladdin would start the battle with, because that might decide the battle.