Ok, so in general relativity, space and time are interconnected as mentioned in the OP. Real life is a bit more nuanced than straight math.
That being said, the wiki doesn't really assume GR as its base physics, yeah? (Or maybe it does, idk).
In general relativity, they are interconnected... in exactly the way they are in my model. That is, they are part of the same spacetime together and curve together and stuff. Interconnect doesn't mean they are the same dimension or anything like that.
In fact, what's used in general relativity to model spacetime is an
Einstein Manifold and the thing I used, euclidean space, happens to be an Einstein Manifold. The simplest Einstein Manifold one might say. Obviously, that doesn't model our universe, because to model our universe you need to model literally all things in the universe, but it models the relevant essentials and changing to a more complicated model really wouldn't make a difference for the point I'm making.
We very much acknowledge general relativity.
Unless i'm taking your comment in the wrong way, universal space-time continuum or timeline as a whole is 4d contruct, i don't see the point of being one dimension of time
A single dimension of time can "service" many spacetime continuums. That's the point.
Let me try to explain it like this: Where you stand right now, you have a direction that is upwards/downwards. If you move two meter to the right now, you still have a direction that is upwards/downwards. Is the upwards/downwards two-meter to your right a different upwards/downwards direction than the one where you stand? No!
Sure, going upwards where you stand will never get you to the same place going upwards two meters to the right would, but it is still the same direction. It is still just going upwards.
And it's the same with time. Going into the future or past where you are, will never allow you to reach the same place as going into the future or past in a different universe does. However, the direction that is future/past, i.e. time, is the same in both.
That's because we ae talking about dimensions, i.e. directions. A direction doesn't change or stop existing just because you go somewhere else. It's not limited to some place, not even to a universe.
I genuinely don't see how this follows. In fact, doesn't this actually support the OP's claim, if you're saying that these two universes are displaced along a fifth axis? To quote one of our own pages:
You also admit that, by your own logic, this would make the two universes spatio-temporally separated, but then you go on to say that because only one dimension of time was acknowledged, it follows that the universes share it. However, not only is this not even a counterpoint (because we already accept that a multiverse is still 4-D, just like its constituent universes), but if your intent is to disprove the OP's assertion, then it is inconsistent with your prior statement that your own math defines the two universes as spatio-temporally separated and lined up along a fifth dimension.
No, because being spatiotemporally separate doesn't mean having two time dimensions.
Let's think of it in three dimensions. Say, upwards/downwards will represent time here. Left/right will be the normal space dimension, one of the 3 we experience in our universe. Forwards/Backwards will be the usually 5th dimension that separates the universes (like in that quote you brought up).
In that model, the space of a universe can be imagined as a stick that goes from the left to the right.
Our timeline could be imagined as a board that stands on the ground, like a wall. So, going left on that wall would equate to moving left in our universe, moving right would equate going right in our universe, going up would equate moving towards the future in our timeline and moving down on the wall would equate time travelling into the past.
So we have one timeline. To add a second timeline we simply add a second board and stand it up parallel to the first one a little further forward. This board, too, has direction just like the first: Going left on that board would equate to moving left in that universe, moving right would equate going right in that universe, going up would equate moving towards the future in that timeline and moving down on the board would equate time travelling into the past in that timeline.
The fact that one board stands further forward than the other means they are in two different locations in the multiverse. The gap between the boards is the distance between the two timelines.
If you have imagined everything properly, the two boards are standing parallel to each other and to the time/normal space axis. Like the red and green planes in this:
As you see, these planes (/boards) are parallel to each other, meaning they don't intersect. What that means to us is that they are spatially (and spatiotemporally) separate. No point in the red planes (/boards) spacetime continuum is also in the green planes (/boards) spacetime continuum.
However, as you also see, we have only one time axis in this picture. Two timelines, two spacetime continuums, but only one time axis. A second one wasn't needed.
What I wrote down mathematically was basically that picture, just that I add the 2 space dimensions we left out in order to be able to draw it back in, within my math.
