Correct me if I wrong, but so far gemstones didnt need calculation to produce its supranatural phenomena.
I don't remember that ever being stated. Since Gunha doesn't understand his ability all his calculations will likely be done subconsciously, but that isn't further unusual.
Also some of their law manipulation are not based from scientific principle like what artficial esper does. For example Himegami Aisha deep blood, Claire plant manipulation, & whatever Gunha abilities is.
If you mean that in relation to the "It should be noted that esper abilities are nonetheless viewed as fundamentally scientific, meaning that they likely obey a generalized set of physical laws."part, those things don't contradict each other. Fundamentally, all those abilities do can be within an extension of science in the same way Kakine's Dark Matter could be. The fact that the esper in question doesn't understand it as scientific (or that nobody else understands it on a scientific level) doesn't mean that it isn't scientific.
Eh, this only grants them 3 powers? Wasn't it requiered for Verse-Specific P&A to give multiple abilities to be valid? I know Ogre Physiology and Retcon Powers were deleted for this very reason.
3 powers, a resistance and a weakness, technically. I haven't participated in the thread about the deleted powers. However, I would think level of explanation is also a factor. If I pretty much just listed the powers without further comment on them, then I could see the page not being accepted for that reason.
However, in this case it's the explanation that is really important and the reason I want to have this page. If all espers having barely explained Law Manipulation, Probability Manipulation and Subjective Reality on their profile just looks bad and is practically an invitation for unknowing readers to misunderstand what they can do with those abilities. Exactly because those things are more technicalities than usually relevant abilities, I feel like those longer explanations should be available.
And not copying a lot of text on each page is the purpose of the verse specific abilities, no?
Has LazyHunter logged in to his account here yet?
Not as far as I know.
The first is genius intelligence, pretty basic, but a few esper pages lack that and don't have a detailed Intelligence section, we know esper powers need high level intelligence to be used more times than not, and being a student in Academy City is also enough to me to call someone a genius, since we know things are at an advanced level since the start there;
I don't know about that. For a start, you have to consider that this page also applies to Level 0 and Level 1 espers. In their case, the level might straight up be so low, because they don't manage to the calculations. That argument really only works for high level espers. Furthermore, even high level espers might perform their calculations entirely subconsciously, like Gunha most likely does, so scaling that to their intelligence, in general, is very questionable.
Not everyone that lives in Academy City is a scientific genius either, despite the technology in their being more advanced. It's kinda like in real life in that regard. Sure, any engineer of today would probably be considered a genius in the thirteen hundreds, but the same doesn't apply to a random citizen. A random citizen that never studied anything in the realms of technology might be able to use technology but has barely any knowledge on advanced topics. Touma himself is a great example for a High School student in Academy City that can really not be considered a genius, despite being familiar with the way of the city of science. If one consideres that there are also little children which, due to their age, didn't get much of Academy City's education yet, this really doesn't work as generalization.
The second is superhuman speed (thought only), even tho they are normal humans, many espers have feats of reacting to things much faster than them, i think everyone starting at LV4 should have HH+ perception/thought speed, idk what speed the lower levels could have, maybe supersonic or just superhuman, this being an obvious result of their calc speed being way above normal humans;
Aside from only applying to high level espers, I also disagree with the entire sentiment in general. Maybe one can say that every high-level esper at least has superhuman calculation speed, which could be entirely subconscious, but scaling perception speed based on an espers level appears to be very unjustified to me.
The third is limited matter manipulation (at least microscopic/molecular, up(down?) to macro-quantum), i think there is no need to explain anything here, right?
That could be ok, I suppose. Then again I wonder if there really aren't abilities that can't be said to deal with manipulation matter at all...
Well, unless someone knows one I will add this.
Also, about the magic-side page, there aren't many things that are common for all types of magic, the only thing i remember that would be important to be noted somewhere is the distortion of causality, it would be a good place to put the resistances the high-level magicians have, tho.
Aside from explaining the mechanics, one could migrate the stuff in the "Common Abilities"-Tab on the verse page to such a page.