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Let me try to answer concisely (and we can then move forward with details if needed).

In extra-dimensional models, gravity lives in all the dimensions. The graviton is thus attached to a field (like any particle) but this field is an extradimensional field. In terms of four-dimensional objects, this field can be seen as a series of four-dimensional excitations of various masses. The lightest of these excitations is the massless graviton, and the other are the so-called massive KK-gravitons.

Does it help?

Yes a little bit. All this quantum world makes me question everything and wanting to know everything about it!... Ohh What are the for dimensions?
You should keep posting about this subjects for the non scientific populating to learn.

The four dimensions are time and the 3D spatial world.

PS: I didn't stop posting. I just took one week of vacation. I will come back with posting next week :)

What about the four spatial dimensions of the original 12 equations theory of Maxwell? Time was not a dimension there I believe. Also, since I am asking, do think of the speed of light as a constant in any situation? thanks for your time !

What is 'the original 12 equations theory of Maxwell'? There are actually 4 of them (this is electromagnetism), and they all depend in time and space.

The speed of light in the vacuum is also constant.

Oh ! if you never heard of such a thing it must be pseudoscience or something.
Thanks for clearing it out, and sorry for wasting your precious time.

So speed of light is always constant in vacuum as Einstein assumed, and the famous 4 equations of Maxwell are the ones that he actually published, understood.

I am just saying that I have never heard of that. Maybe if you could share more information, I will be able to tell you more. It is also possible that what you mention is a rephrasing or what is usually known with 4 equations.

And by the way, you are not wasting my time. I am very happy to help and it is actually my pleasure.