The universe of Problem Sleuth is just lousy with science! This phrase could serve to suggest either it is "chock full of science", or that it is "terribly inaccurate with science", depending on your perspective!
Usually the laws of physics in this universe cause readers to shrug and say, "Ok, if you say so!" and click the next page. But sometimes people will say, "Hey wait a minute! That's not quite how things work!" Or they will shout, "Hey I don't quite understand this! Can we talk about this for a while!"
The answer to that last enthusiastically-posed question is yes!
I will explore some of the major technical issues here. While we should all be aware that the most fundamental answer to these questions is, "It's just a cartoon, guys! Relax!" I think it is also fun at times to strap on our science mortarboards and pretend all these concepts SIMPLY MUST hold up to the rigors of scrutiny.
When GPI elongated the fan's power cord to sew the universe together, it stretched across the the entire universe, a span of about 18 billion light-years. Thus when power was finally supplied to the outlet, the electricity had to travel all the way across the universe, and back, to reach the fan for a total of 36 billion light-years. Consequently, we were told the fan would not receive power until AT LEAST 36 billion years had passed.
There were some who didn't think the flow of electricity worked this way. There were many varying accounts, but the crux of most of the objections had to do with a few assumptions some people had, that A) flow of electricity has nothing to do with the speed of light, or B) electricity should reach its destination "instantaneously", and there should be no delay.
Without getting too bogged down in the science of electric current, I will just state one fact that should clear this up.
Nothing can travel faster than light! Ever. Not space ships, not electricity, not even prayers whispered to your guardian angel. So no matter what, 36 billion years is the minimum duration for that trip.
But the trip could take longer. I think also some people thought I was implying it would take exactly that long, suggesting electricity travels at the speed of light. This isn't really what I was implying. I was just glossing over the concept of electrical propagation speed for the sake of salvaging some simplicity. More realistically I would guess current would travel through the cord somewhere between 70% and 90% of the speed of light, making the total trip more like 45 billion years.
Thinking about it intuitively, this is how the flow electric current works. Electrons themselves are not traveling through the cord that fast. In fact, they remain relatively still. But they "bump" into their neighbors in response to the voltage introduced when the switch is flipped. This "bump" is communicated by the electromagnetic force each electron emits. This force travels at the speed of light. In fact, it is light! (light is the visible frequencies of electromagnetic radiation) So the current can only reach the other end once all these little "electron bumps" have been chained together, like a row of dominoes, which can happen no faster than the rate at which electrons communicate with each other, which is the speed of light.
But that doesn't mean that what is happening is actually realistic! In truth, a cord that long would have such a high electrical resistance, this would diminish the current to virtually nothing. (Current = Voltage / Resistance) The current in fact is never even getting out the front door. You would get the same result by plugging in a tree stump or something.
This is an instance where the "It's just a cartoon!" answer comes into play.
I'll keep this short. If you haven't already, you should read about the Large Hadron Collider, and maybe brush up on the Standard Model of particle physics. They are looking for the Higgs Bonehead. I mean Higgs Boson. They haven't found it yet.
The question certainly has merit, since the way they divide, this would seem to put an exceptional density of PIs toward the middle of the lifespan of the universe, while the PIs gradually thin out toward the endpoints of history. At the beginning and end of the universe, there would only be one instance of each PI.
So the answer is, yes, the universe is increasing in mass, until it reaches the midpoint, and then it starts decreasing symmetrically.
This is apparently one respect in which the PS universe differs from ours!
Whenever any mass is compressed to fit within its Schwarzschild radius, it becomes a black hole. Probably the only thing about this that's somewhat realistic is that I did some calculations on what MK's approximate Schwarzschild radius was for a given mass, and used that to determine at what point he'd become a black hole.
This is a rough approximation of how gravitational time dilation works. I bent the rules a bit for dramatic effect. Here's a decent, somewhat intuitive primer on how gravitational time dilation works. But the bottom line is this: near the event horizon, clocks run slow compared to clocks further away. Of course, it is a bit more complicated than this in reality. For instance, a clock near the event horizon would not actually "see" the other clock running faster. It's only when you finally bring the two clocks together would you be able to measure the difference.
But in the PS universe, someone near an event horizon will see time speed up in the rest of the universe. That's just how it works in this story. It's more fun that way!
Quick recap: When PS finished his final SEPULCHRITUDE attack, he fell near the event horizon of the ultra massive black hole. He, like NB before, saw every event in the future unfold in the blink of an eye, which included the electricity finally reaching the fan. When this happened, the fan turned on, it blew the bust off the mecha legs, and it fell into the sudocube maze. PI then guided it through the maze by flipping the universe around a lot with the ship's wheel.
It all sounds perfectly reasonable, right? Well, no, not if you consider PI probably died 36 billion years ago!!!
This is a very logical objection, and certainly could be considered a weird plot hole, if it is indeed true that 36 billion years passed equally for everyone and everything not near the event horizon. But this isn't really what I was intending.
By this point, the black hole is now ridiculously "ultra massive". It's time dilation effects spread far beyond its event horizon, modifying the passing of time for locally surrounding objects, such as the fan, the bust, the cube, the ship, and PI. The time distortion (slow-down) just isn't nearly as severe as it is on the event horizon.
Also keep in mind that I'd imagined the fan cord stitching the universe to be very far away in the background. Think of the background as a long arc, like the interior of a half-sphere, which is 18 billion light-years in diameter. That means the fan cord is 9 billion light-years away, well out of reach of the time dilation effects.
So imagine three frames of reference, occupied by:
PS : PI : Fan cord
The following approximate times passing in those frames would be equivalent to each other:
nanoseconds = minutes = 36 billion years
Or, looking at this diagram of the universe when seen from above:
You can see there are strata of time distortions radiating from the black hole, with time becoming progressively less slowed down going outward. Or at least that is the way I say it is! Should I have explained all this in the story when it was happening? I guess it would have made it more clear exactly what was going on, if you were one of those who thought "Hey, wouldn't PI have been long dead by then??" But I don't know, I think explaining all that might have been a bit of a wet blanket. After all, by that point the reader has already slogged through 1500 pages of my BS! Best to let it slide, and explain it here.
Besides, it wouldn't be much fun if PS just watched PI died of old age, and that was it! (Ok, I guess that might have been kind of funny, in a way.)
Oh, there's even more stuff to think about:
When PS got near the event horizon, the story seems to suggest this by itself "triggered" these events, sending electricity through the cord and such. I.e. him witnessing it from his frame of reference is sort of what "made it happen".
That's a way of looking at it I guess. But when NB fell into the black hole earlier, and the same thing happened, her witnessing all future events did not trigger the same consequence! She certainly must have seen the fan turn on and all that, because it happened in the future. Yet her seeing it did not "make it happen". Why?
The answer is two-fold: 1) Problem Sleuth is the hero of the story! And 2) maybe more importantly, when NB went in, the black hole was much smaller then! There were no radiating layers of time distortion as in the above diagram. Those are the layers of slowed time which "hold in place" those moments, allowing them to respond to the consequences of the electricity reaching the fan. With NB, the black hole was not that big yet, so all that stuff couldn't "happen" yet!
You know you're dealing with an abstract topic when you find yourself putting the word "happen" in quotation marks. Really, this is hard stuff to think about.
And it gets harder.
What may be the biggest paradox is yet to come. As PS watches all future events unfold, it is logically true that this is because for the entire duration of the universe, that black hole will be there, and so will PS, stuck on its event horizon in a perma-slowed state watching it all happen in superfast-motion. But when the black hole is finally destroyed (IF it is destroyed!) then this too will be an event that takes place in the future. This is something that PS should have witnessed, and in fact it should cause him to stop experiencing the time distortion altogether. The same is true for NB and HD! In fact, none of them should ever even cross through the event horizon. They should all get stuck there for a little while, watching future events, until the black hole is destroyed (IF it is!).
But this is just one of those paradoxes we will ignore and chalk up to the Cartoon Gods of Whimsy and Horseplay. It's a lot more fun when we all just sit back and chill the fuck out!
It makes it seem as though the stars in the backdrop are all getting scrunched together by the gravitational pull of the black hole. This is logical, and is a fine interpretation. But I feel what's going on is a little more abstract than that. For one thing, as I established above, those stars are awfully far away! Maybe too far to be pulled together like that.
By "relativistically shortened span" I guess I'm in a way referring to the concept of length contraction in Special Relativity. That is, the faster you go, the more squashed you appear to observers in the direction of the motion. This is because the speed of light is always constant, no matter where you are, or how fast you or anyone else is going. So if it takes a beam of light 1 second to travel from the back of a box to the front of a box, then if that box is moving, then that box has to be a little narrower for that same beam of light to reach the front of the box in one second!
Same with time, regarding the "relativistically accelerated eye". If you are using light pulses with mirrors in that box to measure, say, 1 second, and the light pulses are taking longer and longer to mark the second the faster the box goes, then I guess time itself for the box is slowing down! It can't be the speed of light slowing down, because we know that never changes!
So that's closer to what I meant by that. From the perspective of the event horizon, the dimensions and pace of the universe itself have reconfigured themselves (squashed, hastened) to accommodate the speed of light so it may still appear to move at a constant rate through the cord to all observers. The speed of light is the one unchanging meter stick in the universe, and everything else, time, space, are highly variable and will always bend so that the meter stick reads true.
Actually if I were being totally literal with this, I would have squashed the backdrop universe to the thickness of a hair. But I didn't want to get that carried away with it. Furthermore, I'm not suggesting this is literally what one observes near a black hole. Again, we keep in mind that we are discussing science, juxtaposed with a tale about detectives armed with key-guns who turn into candy monsters. As I said to someone, I'm sort of functioning like an expressionist painter who uses the laws of physics rather than colors.
Anyway, I think this is a pretty good way of understanding relativity, for me at least.
Here is one last drop of cool stuff for you to buy before your chimneys are plundered by a mythical oaf.
A new one of these guys, who is red:
Cute stickers?? (yes):
^^^ Due to the adorable nature of these, I will call them another "Hussie Pick". That means 1 sticker sheet in every 100 is GUARANTEED to have been whisked gently by the tail of a playful horse.
If you scroll down a bit, you'll see some new stuff in the store. But there is some even NEWER new stuff, so I'm posting it up here. Higher up means new on the internet, whereas lower down is where yesterday's garbage belongs. (Except wait it's not garbage, it's all still great. Buy everything!!! Whew, nice save. I just saved Christmas.)
^^^ This one by Zack is extra dope, let's call it a "Hussie Pick". That means every single copy sold is GUARANTEED to have been breathed on by a horse.
A friendly reminder that the designated artist for all Calliope art in Homestuck is Shelby Cragg. So please buckle up. We have entered the Shelby zone, and we may be here a little while. She and her pal Taz have also just completed a webcomic which you should also take a moment to check out. It looks good!
Around this time of year, people just seem to be in the mood to buy things. I can't seem to put my finger on it. Could it be enthusiasm over Eat A Red Apple Day? (Cool fact: every day is this day if you are a horse.) Or maybe it's the notorious early shopping rush for Bathtub Party Day. Wait, no, it must be due to the usual hustle and bustle surrounding Oatmeal Muffin Day. That's the ticket.
Actually no, those are all stupid holidays that make no sense to anybody. I will have to remain just plain stumped over this. Nevertheless, What Pumpkin is more than prepared to facilitate your inexplicable 4th quarter spending impulses. Please observe this desirable merchandise which you can computer-click on at any moment of your choosing.
I recommend moseying over to Paradox Space, which is currently running a 24 page comic I have written about Crowbar. I am alert to the desires of readers every single day, and the one thing I hear them clamor for above all else, is more stories about CROWBAR. We want more content about Crowbar, RIGHT NOW, they say, and make that content consist of 24 beautifully illustrated comic pages, MINIMUM. I just give the people what they want.
Fortunately, Homestuck's Premier Felt Fan #1 Jones was available to do a spectacular job of illustrating this comic. My rambling noir-style monologues have never before overlapped such lovely artwork.
Homestuck continues this Saturday, with A6A6A4 posted in its entirety, resuming with the true focus of Homestuck, Caliborn's incredible journey as an artist. Then A6A6I4 starts on Monday, and will continue in a semi-regular manner thereafter, until it is done. I will find some horse calendar pages and illustrate the schedule for your convenience. You are, as always, welcome.
Song is Carne Vale by Malcolm Brown. Always been a big fan of Malcolm's work, so it's cool to kick off the comic again with one of his songs.
Thanks to contributing artists Hanni, Matt, Jon, Rennie, Zack, and Jones. All of whom have contributed to Paradox Space as well. I haven't done a (non-game) Flash with a lot of contributing artists in a while. I think Cascade was the last one? Kind of a throwback to the old Art Team days. Remember that? Actually, the expanded network of PXS artists is almost like Homestuck Art Team 2.0. A number of the (now many) artists involved with that comic have sorta parlayed that work into other HS projects, including stuff for the game (more on that soon). It's been pretty awesome having so many great artists help build on the Homestuck universe.
About the Flash. Or really, A663 as a whole. Truly we are back in the saddle, with bad anime and mass murder - the quintessential Homestuck Experience. A year ago I knew I was going to have to pause for a long time. I made sure to cut it off just before this act, not after. Leaving you hanging on that note for a year... damn. Not even I am that cruel. Now you will only have to wait a week to see what happens next. I will say this much. It sure is a bunch of stuff that happens. The regular update engine lurches back to life on 11/1.
Or maybe, since Halloween is coming up, I should call it The Itinerscary. Especially because we may be in store for some spoooooky server crashes with these first few update dumps. Eep, I'm gettin the willies here!
One page today to test the waters (or uh, yesterday). When that's done and the coast is clear (it won't be), I'll post a bunch of pages on the 17th and 18th (oops, now the 18th and 19th). Then there will be nothing until 10/25. And then nothing until 11/1, at which point regular updates will begin again, according to an update schedule which I will share with you on that day. Then you will know which precise pattern of dates you will need to handcuff yourself to a computer and plug in your custom keyboard that only has a single giant F5 key.
It would seem against my better judgment, or really my ability to control in any way whatsoever, a fair amount of hype has been brewing for the return of Homestuck. People are jacked up. They are doing little dances in places they cannot be seen. They are writhing in kiddie pools of pins and needles for the return of all their favorite fantasy children. "John." "Karkat." And more. So it's hard to avoid finding it just a LITTLE funny that after a year-long drought, hopping back in the saddle means we will have to wade through 50 pages of completely atrocious garbage before anything happens. It's funny how life works out sometimes. Funnier than a clown tickling a horse. Sometimes you pause your famous webcomic for a year, and then your grand reopening is a lot of bad anime. On such occasions, when life hands you those kooky lemons, there is really only one thing you can say.