Skeptophilia (skep-to-fil-i-a) (n.) - the love of logical thought, skepticism, and thinking critically. Being an exploration of the applications of skeptical thinking to the world at large, with periodic excursions into linguistics, music, politics, cryptozoology, and why people keep seeing the face of Jesus on grilled cheese sandwiches.
Showing posts with label spatial dimensions. Show all posts
Showing posts with label spatial dimensions. Show all posts

Tuesday, November 12, 2024

Bubbles, dimensions, and black holes

One of the weirder claims of modern physics, which I first ran into when I was reading about string theory a few years ago, is that the universe could have more than three spatial dimensions -- but the extra ones are "curled up" and are (extremely) sub-microscopic.

I've heard it explained by an analogy of an ant walking on a string.  There are two ways the ant can go -- back and forth on the string, or around the string.  The "around the string" dimension is curled into a loop, whereas the back-and-forth one has a much greater spatial extent.

Scale that up, if your brain can handle it, to three dimensions of the back-and-forth variety, and as many as nine or ten of the around-the-string variety, and you've got an idea of what the claim is.

The problem is, those extra dimensions have proven to be pretty thoroughly undetectable, which has led critics to quote Wolfgang Pauli's quip, that it's a theory that "is not even wrong," it's unverifiable -- which is synonymous to saying "it isn't science."  But the theorists are still trying like mad to find an indirect method to show the existence of these extra dimensions.

To no avail at the present, although we did have an interesting piece added to the puzzle a while back that I somehow missed the first time 'round.  Astronomers Katie Mack of North Carolina State University and Robert McNees of Loyola University published a paper in arXiv that puts a strict limit on the number of macroscopic dimensions -- and that limit is three.

So sorry, fans of A Wrinkle in Time, there's no such thing as the tesseract.  The number of dimensions is three, and three is the number of dimensions.  Not four.  Nor two, unless thou proceedest on to three. 

Five is right out.

The argument by Mack and McNees -- which, although I have a B.S. in physics, I can't begin to comprehend fully -- boils down to the fact that the universe is still here.  If there were extra macroscopic spatial dimensions (whether or not we were aware of them) it would be possible that two cosmic particles of sufficient energy could collide and generate a miniature black hole, which would then give rise to a universe with different physical laws.  This new universe would expand like a bubble rising in a lake, its boundaries moving at the speed of light, ripping apart everything down to and including atoms as it went.

"If you’re standing nearby when the bubble starts to expand, you don’t see it coming," Mack said.  "If it’s coming at you from below, your feet stop existing before your mind realizes that."

This has been one of the concerns about the Large Hadron Collider, since the LHC's entire purpose is to slam together particles at enormous velocities.  Ruth Gregory of Durham University showed eight years ago that there was a non-zero possibility of generating a black hole that way, which triggered the usual suspects to conjecture that the scientists were trying to destroy the universe.  Why they would do that, when they inhabit said universe, is beyond me.  In fact, since they'd be standing right next to the Collider when it happened, they'd go first, before they even had a chance to cackle maniacally and rub their hands together about the fate of the rest of us.

"The black holes are quite naughty," Gregory said, which is a sentence that is impossible to hear in anything but a British accent.  "They really want to seed vacuum decay.  It’s a very strong process, if it can proceed."

"No structures can exist," Mack added.  "We’d just blink out of existence."

Of course, it hasn't happened, so that's good news.  Although I suppose this wouldn't be a bad way to go, all things considered.  At least it would be over quickly, not to mention being spectacular.  "Here lies Gordon, killed during the formation of a new universe," my epitaph could read, although there wouldn't be anyone around to write it, nor anything to write it on.

Which is kind of disappointing.

Anyhow, what Mack and McNees have shown is that this scenario could only happen if there was a fourth macroscopic dimension, and since it hasn't happened in the universe's 13.8 billion year history, it probably isn't going to.

So don't cancel your meetings this week.  Mack and McNees have shown that any additional spatial dimensions over the usual three must be smaller than 1.6 nanometers, which is about three times the diameter of your average atom; bigger than that, and we would already have become victims of "vacuum decay," as the expanding-bubble idea is called.

A cheering notion, that.  Although I have to say, it's an indication of how bad everything else has gotten that "We're not dead yet" is the best I can do for good news.


That's our news from the world of scientific research -- particle collisions, expanding black holes, and vacuum decay.  Myself, I'm not going to worry about it.  I figure if it happens, I'll be gone so fast I won't have time to be upset at my imminent demise, and afterwards none of my loved ones will be around to care.  Another happy thought is that I'll take Nick Fuentes, Tucker Carlson, Elon Musk, Stephen Miller, and Andrew Tate along with me, which might almost make destroying the entire universe worth it.

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Saturday, December 24, 2022

Dimensional analysis

As long-time readers of Skeptophilia know, it really torques my lug nuts when people take perfectly good scientific terms, re-define them however the fuck they like, and then pretend what they're saying makes sense.

The list of terms this has happened to is a long one, and includes frequency, resonance, quantum (lord, how they do love the word quantum), and vibration, to name a few.  But there's none that bothers me quite as much as the rampant misuse of the word dimension.

Part of the reason this one gets to me is that the concept of a dimension is so simple that you'd think it'd be hard to get wrong.  If you go to the Wikipedia article about the term, you will read in the very first line, "In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it."  The space we live in is three-dimensional because to define the location of a point, you need to know where it lies referent to three directions -- up/down, back/front, and right/left.

This hasn't stopped people from taking the term and running right off the cliff with it.  And it's not a new phenomenon.  I remember an episode of the abysmal 1960s science-fiction series (heavy on the fiction, light on the science) Lost in Space called "Invaders from the Fifth Dimension," wherein Will Robinson was kidnapped by a pair of evil aliens who looked like the love children of Matt Gaetz and Herman Munster.


These aliens told Will they were "from the fifth dimension," which makes about as much sense as if your Uncle Fred told you he was from "horizontal."  Be that as it may, after they captured Will they revealed to him their nefarious plan, which was to use his brain to power their spaceship.  Things looked bad, but Will defeated them by (I swear I am not making this up) feeling sad at them, which caused their spaceship to blow up.

So using the word "dimension" as a fancy way of saying "a mysterious place somewhere" goes back a long way.  But because of a loyal reader of Skeptophilia, I just read what has to be the single most ridiculous example of this I've ever seen.

And that includes "Invaders from the Fifth Dimension."

It's an article in Your Tango called "The Theory That Claims We Visit Other Dimensions While We Sleep," by NyRee Ausler.  Which brings up another misused word that really bothers me, which is "theory."  A theory is not "this crazy idea I dreamed up just now," and nor does it mean "a guess that could just as easily be right as wrong."  A theory is model with strong explanatory and predictive power, and which fits all the available data and evidence we have at hand.  When the creationists say, breezily, "Evolution is just a theory," that is not some kind of point in their favor; all it shows is that they have no idea what the word actually means.

After all, we call it "music theory" and that's not because we think music may not exist.

But I digress.

Anyhow, back to NyRee Ausler.  It will come as no shock to find out that she answers her question, "do we visit other dimensions while we dream?" with, "Yes, of course we do."  The way we know, she says, is that the laws of physics aren't the same in dreams as they are in reality.  I can vouch at least for that much.  I dreamed last night that I was out working in my garden, and I kept accidentally digging up plants and knocking things over and generally wreaking havoc, but then when I was done not only was everything back to normal, but all the flowers were blooming despite the fact that it's currently December and the high temperature today is supposed to be 13 F.

In any case, her point that "dreams are fucking weird" hardly needs further elucidation, but she goes on to say that the reason for all this is that dreams take place in another dimension.  And then she launches into a brief description of -- I shit you not -- string theory, which is a mathematical model of subatomic physics requiring ten spatial dimensions, all but three of which are thought to be (very) submicroscopic and "curled up."  The analogy commonly used is an ant on a garden hose -- it can go along the hose (one stretched-out dimension), or around the hose's circumference (one curled-up dimension).  The string theorists claim that three of the dimensions in our universe are of the stretched-out variety, and seven are curled up so tightly that we don't experience them on a macroscopic scale, but influence quantum phenomena such as how particles interact at very high energies. 

And yes, what NyRee Ausler is saying is that when you dream, you are somehow visiting these extremely tiny, curled-up dimensions, and that's why dreams are peculiar.  Once again, acting as if these extra dimensions were places, not just mathematical constructs describing spatial coordinates.

But it gets even better than that, because she goes on to tell us what each of those dimensions are like, one by one.  I direct you to the original link if you want to read about them all, but here's one, just to give you the flavor:

The sixth dimension consists of a straight line of possible worlds. Here, you get an opportunity to access all possible worlds that started with the same original conditions, like the Big Bang Theory.  It is known as the "phase space" in a set of parallel universes where everything that could have happened in our pasts, but did not, occurred in some other universe.  The sixth dimension exists in the same space and time as the one we occupy, an overlay of our universe or a 3-D space containing every possible world.

Right!  Exactly!  What?

What made me laugh the hardest is that she tried to give her article an extra soupçon of scienc-y-ness by mentioning Calabi-Yau manifolds, an extremely complex concept from higher-dimensional algebraic geometry, because lobbing in a technical term you obviously don't understand clearly strengthens your argument.

I know it's probably a waste of energy for me to spend my time railing about this, but there are people who will read this and think it's actual science.  And that bugs the absolute hell out of me.  The thing is, her article is not just wrong, it's lazy.  As I demonstrated above, all you have to do is to take the time to read the first paragraph of a damn Wikipedia page to see that what Ausler is claiming is blatant horse waste.

But science is hard, and technical, and to really understand it requires reading peer-reviewed journal articles and learning terminology and mathematics.  Easier to blather on about string theory and dimensions and (*snerk*) Calabi-Yau manifolds as if you knew what you were talking about, and hope that enough people click on the link that the ad revenue will pay for your groceries next month.

So anyhow, thanks to the reader who sent me the article.  I did get a couple of good laughs out of it, but the overall teeth-grinding I did while reading it probably resulted in net damage to my emotional state.  Pseudoscience will be with us always, springing up like mushrooms after a summer rain.  Or like my garden on a frigid day in December, at least in my sixth-dimensional dreams.

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Thursday, November 14, 2019

Dimensional analysis

Adding to the long list of scientific words that woo-woos misdefine and then misapply, let's consider "dimension."

It's rising in popularity, and may soon outstrip "quantum" and "vibration" and "frequency," hard though that may be to believe.

Its misuse, of course, goes back a long way.  My wife got me the complete DVD set of the classic (i.e., terrible) science fiction series Lost In Space for my birthday a while back, a move she has lived to regret, because our son Lucas and I now constantly quote memorable lines from it, such as famous ones like "Danger, Will Robinson!  Danger!" and "Oh, my delicate back,' not to mention less-known ones like "Would you like another serving of Space Pie?" and "Golly!  They've turned him into a Cave Robot!"

But the subject comes up because of an episode I watched just a couple of days ago, called "Invaders from the Fifth Dimension."  In this wonderful piece of sf cinematography, we meet a pair of aliens who look a little like the love children of John Kerry and Stephen Miller:


These aliens are ultra-powerful because they come from the fifth dimension, we're told, and have made their spaceship impregnable by using a "fifth-dimensional force field."  Even so, they're no match for Will Robinson, who makes their spaceship blow up by, basically, feeling sad at them.

I'm not making this up.

In any case, this illustrates how the incorrect use of the word "dimension" isn't of recent vintage.  Back then, but lo unto this very day, woo-woos have somehow thought that "dimension" was a fancy way of saying "place," and that therefore a creature could "come from another dimension."

Take, for example, the piece that from Before It's News called "Inter-Dimensional Invasion Begins," which a loyal reader of Skeptophilia sent me a couple of days ago, and wherein we learn that because "dimension" means "place," creatures can come from "between dimensions," just as you could say, for example, that you lived between Hoboken and Jersey City, even though you might not want to brag about that fact.

In this article, we're told that "when studying for his B.Sc. in physics," the author learned about string theory, which posits up to eleven spatial dimensions.  This, he says, opens the door for all sorts of weird stuff:
All events ever experienced by humans throughout history either from the mundane to the extraordinary have at best been reported or recorded using the language of 4 dimensions. 3 spatial (X,Y,Z) and one temporal (time). 
That leaves at least 7 dimensions that we are only dimly aware of.  If at all.  Most people intrinsically understand the spatial dimensions (X,Y, and Z) , it is the structure of all our movements, all the things in which we interact with , it is our life’s experiential structure.  But Time is also a dimension, albeit times [sic] arrow only runs in one direction under normal Newtonian situations.  But it is a dimension none-the-less.  It is a axis of freedom in which we move, ever trudging forward ceaselessly.  To quote William Shakespeare “Time is the fire in which we burn”.  What sort of experiences and entities burn in the higher 7 dimensions?
Right!  Whatever the hell that even means.

Later, though, he answers the question, of course. Those extra dimensions provide a place for Bigfoot to hide:
I believe that all forms of what we call “Paranormal” is normal, maybe just not in our 4 dimensional reality.  The “Inter-dimensional Hypothesis” states that UFOs, aliens, shadow people, crop circles, Bigfoot, and ghostly activity are all explained by the passage of beings from another dimension occasionally crossing into our dimension and being witnessed.  The method of cross overs are not understood at this time by science.
Okay, can we just hang on a moment, here?

The trouble I have with people like this is not only do they not understand science, they can't, apparently, even read a fucking Wikipedia page.  Because if you go to Wikipedia, and search for "Dimension," you are brought to a page wherein we are given, right in the first paragraph, the following definition:
In physics and mathematics, the dimension of a space or object is informally defined as the minimum number of coordinates needed to specify any point within it.  Thus a line has a dimension of one because only one coordinate is needed to specify a point on it – for example, the point at 5 on a number line.  A surface such as a plane or the surface of a cylinder or sphere has a dimension of two because two coordinates are needed to specify a point on it – for example, both a latitude and longitude is required to locate a point on the surface of a sphere.   The inside of a cube, a cylinder or a sphere is three-dimensional because three coordinates are needed to locate a point within these spaces.
So saying that UFOs come from the seventh dimension is a little like saying that your Uncle Steve comes from "horizontal."

Higher dimensional spaces may exist, of course, although that point is controversial.  The alleged physics student who wrote the article for Before It's News cited string theory and M-theory as support for his position, even though the very same Wikipedia article says the following:
In physics, three dimensions of space and one of time is the accepted norm.  However, there are theories that attempt to unify the four fundamental forces by introducing more dimensions.  Most notably, superstring theory requires 10 spacetime dimensions, and originates from a more fundamental 11-dimensional theory tentatively called M-theory which subsumes five previously distinct superstring theories.  To date, no experimental or observational evidence is available to confirm the existence of these extra dimensions.  If extra dimensions exist, they must be hidden from us by some physical mechanism.  One well-studied possibility is that the extra dimensions may be "curled up" at such tiny scales as to be effectively invisible to current experiments.
So if Bigfoot lives there, he's not so much Bigfoot as he is Submicroscopicfoot.

Anyhow. I'll just reiterate my wish that people would learn some basic science before they go blathering on, throwing around scientific terminology as if they actually knew what they were talking about.  As for me, I'm off to get a second cup of coffee.   Maybe if I can put some in a four-dimensional Klein bottle, I'll never run out, you think?

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Last week's Skeptophilia book recommendation was a fun book about math; this week's is a fun book about science.

In The Canon, New York Times and Pulitzer Prize-winning writer Natalie Angier takes on a huge problem in the United States (and, I suspect, elsewhere), and does it with her signature clarity and sparkling humor: science illiteracy.

Angier worked with scientists from a variety of different fields -- physics, geology, biology, chemistry, meteorology/climatology, and others -- to come up with a compendium of what informed people should, at minimum, know about science.  In each of the sections of her book she looks at the basics of a different field, and explains concepts using analogies and examples that will have you smiling -- and understanding.

This is one of those books that should be required reading in every high school science curriculum.  As Angier points out, part of the reason we're in the environmental mess we currently face is because people either didn't know enough science to make smart decisions, or else knew it and set it aside for political and financial short-term expediency.  Whatever the cause, though, she's right that only education can cure it, and if that's going to succeed we need to counter the rote, dull, vocabulary-intense way science is usually taught in public schools.  We need to recapture the excitement of science -- that understanding stuff is fun.  

Angier's book takes a long stride in that direction.  I recommend it to everyone, layperson and science geek alike.  It's a whirlwind that will leave you laughing, and also marveling at just how cool the universe is.





Tuesday, October 9, 2018

Bubbles, dimensions, and black holes

One of the weirder claims of modern physics, which I first ran into when I was reading about string theory a few years ago, is that the universe could have more than three spatial dimensions -- but the extra ones are "curled up" and are (extremely) sub-microscopic.

I've heard it explained by an analogy of an ant walking on a string.  There are two ways the ant can go -- back and forth on the string, or around the string.  The "around the string" dimension is curled into a loop, whereas the back-and-forth one has a much greater spatial extent.

Scale that up, if your brain can handle it, to three dimensions of the back-and-forth variety, and as many as nine or ten of the around-the-string variety, and you've got an idea of what the claim is.

The problem is, those extra dimensions are pretty thoroughly undetectable, which has led critics to quote Wolfgang Pauli's quip, that it's a theory that "is not even wrong."  It's unverifiable -- which is synonymous to saying "it isn't science."  But the theorists are still trying like mad to find an indirect method to show the existence of these extra dimensions.

To no avail at the present, although we did have an interesting piece added to the puzzle last month.  Astronomers Katie Mack of North Carolina State University and Robert McNees of Loyola University published a paper in arXiv that puts a strict limit on the number of macroscopic dimensions -- and that limit is three.

So sorry, fans of A Wrinkle in Time, there's no such thing as the tesseract.

The argument by Mack and McNees -- which, although I have a B.S. in physics, I can't begin to comprehend fully -- boils down to the fact that the universe is still here.  If there were extra macroscopic spatial dimensions (whether or not we were aware of them) it would be possible that two cosmic particles of sufficient energy could collide and generate a miniature black hole -- which would give rise to a universe with different physical laws.  This new universe would expand like a bubble rising in a lake, its boundaries moving at the speed of light, ripping apart everything down to and including atoms as it went.

"If you’re standing nearby when the bubble starts to expand, you don’t see it coming," Mack said.  "If it’s coming at you from below, your feet stop existing before your mind realizes that."

This has been one of the concerns about the Large Hadron Collider, since what this thing does is slam together particles at enormous velocities.  Ruth Gregory of Durham University showed three years ago that there was a non-zero possibility of generating a black hole that way, which triggered the usual suspects to conjecture that the scientists were trying to destroy the universe.  Why they would do that, when they inhabit said universe, is beyond me.  In fact, since they'd be standing right next to the Collider when it happened, they'd go first, before they even had a chance to cackle maniacally and rub their hands together about the fate of the rest of us.

"The black holes are quite naughty," Gregory said, which is a sentence that is impossible to hear in anything but a British accent.  "They really want to seed vacuum decay.  It’s a very strong process, if it can proceed."

"No structures can exist," Mack added.  "We’d just blink out of existence."

Of course, it hasn't happened, so that's good news.  Although I suppose this wouldn't be a bad way to go, all things considered.  At least it would be over quickly, not to mention being spectacular.  "Here lies Gordon, killed during the formation of a new universe," my epitaph could read, although there wouldn't be anyone around to write it, nor anything to write it on.

Which is kind of disappointing.

Anyhow, what Mack and McNees have shown is that this scenario could only happen if there was a fourth macroscopic dimension, and since it hasn't happened in the universe's 13.8 billion year history, it probably isn't going to.

So don't cancel your meetings this week.  Mack and McNees have shown that any additional spatial dimensions over the usual three must be smaller than 1.6 nanometers, which is about three times the diameter of your average atom; bigger than that, and we would already have become victims of "vacuum decay," as the expanding-bubble idea is called.

A cheering notion, that.  Although I have to say, it's an indication of how bad everything else has gotten that "We're not dead yet" is the best I can do for good news.


That's our news from the world of scientific research -- particle collisions, expanding black holes, and vacuum decay.  Myself, I'm not going to worry about it.  I figure if it happens, I'll be gone so fast I won't have time to be upset at my imminent demise, and afterwards none of my loved ones will be around to care.  Another happy thought is that I'll take Mitch McConnell and Lindsay Graham along with me, which might almost make destroying the entire universe worth it.

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This week's Skeptophilia book recommendation is from the brilliant essayist and polymath John McPhee, frequent contributor to the New Yorker.  I swear, he can make anything interesting; he did a book on citrus growers in Florida that's absolutely fascinating.  But even by his standards, his book The Control of Nature is fantastic.  He looks at times that humans have attempted to hold back the forces of nature -- the attempts to keep the Mississippi River from changing its path to what is now the Atchafalaya River, efforts in California to stop wildfires and mudslides, and a crazy -- and ultimately successful -- plan to save a harbor in Iceland from a volcanic eruption using ice-cold seawater to freeze the lava.

Anyone who has interest in the natural world should read this book -- but it's not just about the events themselves, it's about the people who participated in them.  McPhee is phenomenal at presenting the human side of his investigations, and their stories will stick with you a long time after you close the last page.

[If you purchase the book from Amazon using the image/link below, part of the proceeds goes to supporting Skeptophilia!]