Time Dimension To Become Space-like
KentuckyFC writes "The Universe is about to flip from having three dimensions of space and one of time to having four dimensions of space. That's the conclusion of a group of Spanish astrophysicists who have calculated that observers inside such a Universe would see it expanding and accelerating away from them just before the flip (abstract, full paper pdf on the physics arXiv). 'We show that regular changes of signature on brane-worlds in AdS bulks may account for some types of the recently fashionable sudden singularities. Therefore, the fact that the Universe seems to approach a future sudden singularity at an accelerated rate of expansion might simply be an indication that our braneworld is about to change from Lorentzian to Euclidean signature. Both the brane and the bulk remain fully regular everywhere.'" Update: 10/09 16:06 GMT by Z : A few readers have written in to point out that the article is not peer-reviewed; your mileage may vary.
If time becomes space-like, what would that mean for us? Would we be able to transverse time as easily as space? Would time itself become irrelevent as we could look "forwards"? Will the cubs win the world series? These important questions have to be answered!
Karma Whoring for Fun and Profit.
So what does this mean for us, exactly? Would we still perceive things as we do now (only with some relativistic stuff changing), or does everything suddenly go nuts? FTL travel, maybe?
And mostly-OT but seemed related: I remember a couple of SF short stories about something like this... one was "Mimsy were the Bogroves" or something like that, where two kids discover 4-dimensional toys from the future, then read "Jabberwocky" and figure out how to move in time.
The other one was about a kid who befriends a neighbor working in 4-D stuff. The kid (because he's young and has an open mind or something) learns to move about in that dimension as well, and communicate with creatures living in other dimensions. Don't remember the title of that one, thoguh.
The meek may inherit the earth, but the strong shall take the stars.
Lets say I told you we had two spatial dimensions. You would imagine a plane with perpendicular x-y axes everyone knows and loves. If I asked you to draw the set of points that were equidistant from the origin, you would probably assume the geometry was Euclidian and would probably instinctively draw a circle (a good guess!). It is commonplace to hear "time is the fourth dimension." As first pass to visualize this, you might try to draw a two dimensional space-time plot: an x axis and a perpendicular time axis in a plane. If I then asked you to draw all the points equidistant from the origin, you would probably again draw a circle in this x-t plane. It seems to make sense, but is only true of time is a "space-like" dimension like "y" in the x-y plane. This is way Newton thought of things and it seems to be what the authors of the paper are advocating. But, unbeknownst to some people who cite "time as the fourth dimension," according to the theory of relativity, the set of equidistant points from the origin on a x-t graph would actually be hyperbole, not circles. This is because in relativity space-time is a Minkowski geometry, not Euclidian. All the weird stuff in special relativity like time dilation and length contraction come about because of this weird geometry. In fancier language, time has an opposite sign than space in the metric. The metric determines how distances are calculated in a given geometry. If time has the same sign as space in the metric, then space-time becomes Euclidian and one would say that time was a space-like. The article is probably extra confusing to non-physics people because most probably didn't know time wasn't space-like to begin with.
i\hbar\dot{\psi}=\hat{H}\psi
I knew 3 answers to the Fermi Paradox. Either intelligence quickly builds into quiet-looking shells like in Charlie Stross' Accelerando, or by virtue of being conscious we humans have somehow carved out a light cone or domain excluding other intelligences, some wierd cocoon: it is impossible physically to communicate because other domains have other physics. There's a neat scifi story about that too. The third is a land mine in physics, waiting for young civilizations to liberate enough power to fry them. Heinlein did that one, it's a nasty one. Now a fourth: the universe really is out to get us. Not just out to get aggressive monkeys that want to learn high-energy physics, but even to the point of making a state flip ever so often. I think this last one (today's news) is pretty unlikely to happen any time soon but nevertheless it is a future killer, something harder to understand than the burning out of the stars in the far future. None of these are very nice ideas but I hope some physicists will step up to answering what the latest theory says about when it might happen and whether it could operate on a patchwork basis, killing other civilizations while our planet was still cooling.
It appears to me that this is a purely mathematical result. They are basically saying that an anti-de sitter bulk, the interior of anti de Sitter (AdS) space which is a constant negatively curved (or constant positive cosmological constant) with one time-like dimension (Lorentzian space) can be glued to a euclidean space smoothly along the boundary of the two spaces. Classically, this is of little relevance since time-based trajectories would stop at the boundary (either take infinite time to arrive or the system would "rip" itself apart at the boundary). Instead there could be (though not addressed in the paper) observable quantum effects from having something past the boundary even if it is purely spatial. Space-time states might extend over the boudary into this other space. So you might end up with the strange situation where parts of the universe are interacting beyond the end of time.
This paper doesn't tell you whether that occurs or not. But it does indicate that it is possible for quantum systems to have both Lorentzian and Euclidean space components seamlessly connected.When I first heard that the rate of the universe's expansion was actually accelerating, I came up with a weird hypothesis after a few days...
Time in our frame of reference is slowing down.
The only way that seemed possible was if we were traveling at speeds close to c, but that didn't sound feasible since we were observing objects that were moving away from us, in all directions. Then another weird thought occurred to me...
Our observed universe is self-contained within the event horizon of a giant black hole.
We're closer to the singularity, and accelerating towards it faster than objects closer to the edge of the event horizon. Time will move slower for us, and far away objects will appear to speed up. An outside observer (if such a thing could possibly exist) would perceive our universe as shrinking, but in our current frame of reference, we still think of it as expanding.
One other observation that lends to this possibility is the fact that we have not seen evidence of other "Big Bangs" or other "Universes". If the Big Bang happened once, shouldn't it be a repeatable occurrence in the limitless void of space?
Okay, that's my rant. You can slap the straitjacket on me now and ship me off to the funny farm.
Solomon Chang
"Twice half-assed makes an ass whole." --Solomon K. Chang
That particular problem can be solved by defining time as a big rubber band that *doesn't* break. Simple.
No weapon in the arsenals of the world is so formidable as the will and moral courage of free men.-Ronald Reagan
If the universe isn't infinite, but just gigantic, and there are multiple dimensions, rather than just one, and time branches into multiple dimensions in response to possibilities, one dead cat and one live cat instead of one cat floating in an indeterminate state, then that would imply that the universe is a finite set, time is a path through permutations of that set, and time travel would consist of mapping these permutations to a degree that one is able to follow non-obvious and improbable paths through the set.
-1 Uncomfortable Truth
I am also not a professional. However...
The paper describes the time dimension heading toward a singularity. So, we'll get the universe rapidly expanding outward faster and faster. However, there will be a point at which there is a "big freeze", where time will stop. However, there is no 'experience' of time stopping. Instead, we would experience time as normal as we are attached to it, and would have no clue that we can go no further. There is a very interesting description of this in "Einstein's Dreams".
So, putting it into your explaination, all that spaghetti rotating in the forth dimension would keep doing so. Only an observer *outside* of time could ever see the change in the brane-space and only they would ever see the stuck versions of ourselves at the point of the signature change.