Harry's POV
The next month was the longest in He had, not surprising, considering he used the time turner to experience almost two months in that time.
So of course his progress was incredible.
By using most of the time in class that is dedicated to theory to study Quantum mechanics, he finally managed to have a breakthrough in his transfigurations and succeed in switching objects.
He used the idea of Principle of locality that states that an object is directly influenced only by its immediate surroundings. If something is still able to influence the said object, it must mean they have some sort of connection between them.
By using magic on two objects on the same time you connect them in a way that makes it possible to switch the places they are at as if they were the same objects.
Sounds like charms? It's because it is, like many other spells learned in transfigurations, it is charm that focus on control, you have to connect your magic to two objects in the exact same time without putting more magic in one or the other.
After succeeding in doing so, Harry quickly
succeeded at inanimate Conjuration, something that came easily as it is basically transfiguration of particles in the air.
Transfiguring animals to magical objects was harder as he needed to understand the properties of the object before the transfiguration, otherwise it would just be a pale imitation, and while finding out how snitches works was easy, he didn't believe this way of transfiguration had any worth. Now he is stuck on the last part of fifth year transfiguration- vanishing, and that would take some time to research.
Another thing that he saw fantastic progress at is runes, one of the few classes he actually payed attention to.
By dividing the class in to levels, the professor made sure he would be interested in the class, as instead of learning stuff he already know, the professor gave the advance group the time to study on their own (which he used to study muggle subjects, seeing his problem right now was his lack of idea how to write runes and not knowledge about the magical written language.
Yet, every 5 classes (that to say once until now) a class was dedicated to the advance group, and this was the first time since first year that he actually learned something new in class from a teacher.
Flashback
Rune class
"Today the regular group will be reading pages 21-34 and answer the questions on the board." Professor Babbling said before looking at the medium and advance groups "As for you, today we will have time for you to dispel any doubts or misunderstanding you have about the subject, well, whose first?"
Thus began the questions, every student asked no less then two and no more then five questions, and while the professor answered most of them quickly with a quick explanation of the answer and recommended a book that go into depth, she still answered some of them extensively, if they were something a lot of students get stuck upon. Which is why it took 47 minutes for it to finally be his turn.
"Yes, mr Peverel?"
"My first question is why does runes can be used to do magic yet we can't use Latin, English or other language as well?"
"excellent question mr. Peverel! The short answer is you can and you can't." The professor talked in the excited tone she always used.
"We don't exactly know how runes became magical, but right now we have two theories. The first one is about mind over magic, in which the basic thing you need to understand about runes is that it's a bunch of languages, things that were created by human beings and became magical by having wizards and witches used to talk, cast, and more importantly, think in that language.
You see, if there is one thing we know about magic because of accidental magic and wordless casting, is that using magic is related to your thoughts much more then your words, so by having magical people think in a certain language, magic became tuned to it, and able to understand it, there for able to understand the writing and do as the runes say, and the more time that is given to runes, the more powerful they are as they become part of the magic. The problem with this theory is that we still haven't managed to make Latin a rune language after all that time, which means there is something that isn't right about it, something that is missing.
The second theory is numbers of faith, every known runic language is known to have been thought as the language of the gods, a language that by writing it, it can change the world, it could be that when enough magical people believe the language is divine, magic gets attached to the said language and make it 'divine', but unless you can make a cult believe something like that, it is impossible to duplicate."
Harry felt like he had an idea about that, but he put it aside and asked his second question
"How about writing in runes? Why is it so difficult? Is there a shortcut?"
"It is all about practice, if you have struggles in writing runes you just need more practice. Well, most runic experts who use a runic quickquill, but it defeats the purpose of learning at school, so you should just practice"
End flashback
After that he purchased a runic quickquill and started using the lessons to practice his own writing of runes.
As for creating his own rune language, he has an idea but it's for the future.
His lessons with Luna progressed good as well, as not only the girl was extremely smart, she can also use her spacial eyesight to watch him perform magic and see where she has gone wrong in her spells, making her do twice the work with half the effort.
In his tries of figuring out how her eyesight works he has gone in the direction of Sharks, who can electric fields, snakes who can see heat, sea turtles who can feel magnetic fields, and birds who can see all light.
He felt that if you combine the ability of the birds to see all colors, with the ability of the shark to detect magnetic fields you get to see auras, and if you combine that with the ability to feel magnetic fields and see heat (energy) you can see magic. Letting you with all four have most of the abilities Luna's eyes possess, as for the rest he need more research.
The last thing that improved that month is his two new spells, that lets him translate his magical hologram into deta in the computer and deta in the computer into magical hologram. Which meant he could finally begin solving the puzzle known as the blood curse