Wow, okay some interesting ideas but some things that don't line up quite right.
Just on what you posted:
We have the three goddesses
Din
Nayru
Farore
Each of them created the world and sealed their power in the Dark World.
I agree with your three goddesses, but I don't know what you mean about the dark world. They left their power in the light world at the point in which they left the world, the Sacred Realm which is where the triforce stands.
Who might this ones be???
Here is the theory
Ganon (The beast form that is brought by the ToP)
Onox ( Summoned by Koume and Kotake)
Veran (Summoned by Koume and Kotake)
It makes sense because Ganon can come to life through Ganondorf and steal the other Triforces and even Zeldas lightforce, and Veran and Onox were after Din and Nayrus Oracle powers.
This I really like. I love the concept of opposing forces, and I can totally agree with you on this. I would say the power held by the three dark entities is not nearly as high as the goddesses, but i can let it go. Hyrule is based on the idea of balance: Power, Wisdom, Courage, and I do believe the forces of good and evil need to be in balance as well. (In my mind, this is why Ganon keeps coming back to life, obviously with a ton of additional factors, but that is a different theory altogether.) I think this idea of anit-god/esses is great. I especially like the correlation of which anti-god/ess corresponds to which goddess. Very insightful.
As for the other Deities.
We have the giants who are another dimmension gods.
So 4 Giants = 4 Goddesses = 4 Demons = 12 Super Deities
So basicly the first "base" gods just suffer reflections of themsleves and turn into other gods, either good or bad
This confuses me. First of all the giants are from another dimension and they were considered guardians, not deities so including them in your theory for Hyrule is a bit counterproductive. If you wanted to make the argument about Nintendo's theories rather than specifically Hyrule then i would say go for it, but then you are missing a piece. In Termina, I would say Fierce Deity Link/Oni Link as well as Majora would qualify for the anti-god portion of your theory, and you have not represented them.
Also, you say '4 goddesses', I'm guessing you are lumping Veran in with Din, Farore, and Nayru to make 4, but Veran fits much better under your 'demons' category. So you are missing an entity for both your 'goddess' and your 'demon' field. I'm not sure where the other one is coming from, I'm not sure if I missed that somewhere. Could you expand your formula a little?
Also, I'm sure this image is a very good representation for you, and I understand your statement that each are distorted slightly but represent the same thing, with this image. But I don't understand how this relates to your additives of the super powers in Hyrule and Termina.
Its not meant to go anywhere Im just combining the Tetraforce theory with the Multi Dimmension theory to create a new goddess, and make a good, neutral and evil side of each
THis does not help me much unfortunately. I think I see what you are trying to do, but you are missing some pieces of your explanation. Are you saying that a 4th goddess comes from the other dimension (and what dimension do you mean, the dark world? or Termina?) to have the forth piece of the tetra force? Who is that Goddess? But I certainly see the good and evil argument!
But the Tetra Force was CONFIRMED to be false, im sure.
I do believe it has been yes, but it is always good to hear new theories.
This equation confuses me as wel.. 4 Giants = 4 Goddesses = 4 Demons = 12 Super Deities
Wouldn't it be better to say 4 Giants + 4 Goddesses + 4 Demons = 12 Deities?
I like your idea of anti/evil deities. Lets assume that Hyrule has an equilibrium of evil versus good. Lets also say that evil is negative and good is positive.
Using your equation we would have something like: 4 + 4 -4 = 4. If we were to take into consideration and assume the goddesses are treated as gods and everyone else is treated as non-gods, we could form the equations 4 - 4 = 0. This says that for 4 good deities, there are 4 evil deities. This idea of equilibrium can be expanded when we take into consideration of more then just 4 good and 4 evil deities.
Justin has a really good point here and I agree with it, but we are still missing the pieces of the representatives of those numbers.