if wiseman is white mage, why was white mage's familiar watching over wiseman when wiseman created the blue stone?
Maybe because that was what it was told to do. Medusa regularly comes there to talk to Wiseman. So seeing a familiar hanging around a Phantom, may spoil Fueki plans of playing both sides.
and why did it carefully back away, like it was trying not to be seen, and went directly for help?
Maybe that was the writer's way of trying to cast doubts to the viewers that, they are indeed the same person. And who did it go to for help? It didn't seem like it was in any danger.
and why did koyomi need to go pick it up when white mage had already given them a stone before?(btw, my explanation as to why cerberus went for koyomi is that he remembers koyomi even tough koyomi does not remember it).
Because it was part of his plan, noticed how when Wiseman came back to his bed. He wasn't pissed-off, he started laughing. As if his plan is going exactly how he's planned it. And why would his familiar go to Haruto instead of going to it's master, the White Wizard?
and why was cerberus watching over wiseman a few episodes ago?
It's watching over it's master, the White Wizard. Like I said it's obvious it's been told not to be seen when Fueki is in Wiseman form.
why did wiseman transform into white mage after koyomi got the blue stone
I don't know, you tell us why Wiseman transformed into White Mage after Koyomi got the blue stone?
and, a few hours later(at best) he changed again into wiseman to stop haruto from going to the cave?
Did you forget that a certain Phantom by the name of Medusa was in his presence? And that still being the White Wizard would've ruined his plans of playing both sides.
But since you just admitted that they are indeed the same person. Do I really need to continue answering these questions?
why would he sometimes appear as wiseman and others as white mage?
As I already been saying, he's playing both sides of the field. That way his plan would go exactly as he planned it.
and i don't mean appear as wiseman only in front of the phantoms, he appear in at least two ocassions in which it would made more sense to appear as white mage.
Name the two "occasions", and who's to say that he didn't just finish up talking to a Phantom when he was shown?
when gremlin told them where he was, why did he appear as white mage instead of wiseman? especially if kizaki was there.
Why would he appear as Wiseman? The fact that Sora told them he knew where the White Wizard is, which led them to where the Wiseman usually be, and was surprised that in fact he was there. Should show you that they are indeed the same person.
granted, he already had kidnapped a kid, but he could still give an explanation for his actions. but not for and unconscious and injured Kizaki. if he had appear as wiseman, he could have fooled everyone in that he did not attack kizaki.
You act like he knew they were going to be lead to him. It made since to appear as the White Wizard, that way he could manipulate Mayu and give that poor excuse that he did. Had he appeared as Wiseman he just would've been attacked by Kosuke and Mayu. And he didn't know that Kosuke was just going to attack him like that. He did tell them to go home before that happened.
white mage's surprise to his first meeting with nitou. wiseman had already commented about what nitou's magic was, but white mage was surpised to see nitou's magic.
What are you talking about? It was the White Wizard that told Kosuke to not let Chimera devour him. It was the White Wizard that told him that he doesn't need an Arch-type Wizard. Which led to Kosuke wanting to know what he meant by that.
and before anyone suggest the "maybe wiseman is fueki's phantom and fueki has problems controling him" theory, i will say this. if that is the case, they are not, i repeat, they are NOT the same person. wiseman would STILL be and entire different conscience that acts independently from fueki. the only difference is that they would be sharing the same body, which is not the same thing as "wiseman is white mage".
I don't think this, if anything The White Wizard is using "Magic" to pretend to be a Phantom known as Wiseman.