Astrophysics

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Tomorrow, and tomorrow, and tomorrow, blogs in this petty pace from day to day, to the last syllable of recorded time

Hello and good morning.  It’s Thursday, in case you didn’t already know.  Though, if you’re reading this on some day other than Thursday, then I guess it’s not Thursday for you.

You could think of it as us being on sort of parallel time streams—and indeed, we each carry our own “proper time” around with us, according to Relativity.  And while communication is possible between those timelines, it is communication in one direction only.  I can send messages to you, where and when you are now reading this, but you cannot send messages back to me.

Wait, wait, I hear you say*, you can communicate back to me in my parallel time, because you can comment on the post below (there’s only one person who does this with any regularity, but sure, it’s possible for you to comment, in principle).  So it’s not one-directional communication.

Ah, but that’s where I’m being esoterically precise here.  You cannot communicate back to me where and when I am now.  You can only communicate with some “future” point, something quite a bit down the line from where and when I am as I write this.  And I cannot then communicate with the you that is writing back to me, but only to some future state of you.

Okay, well, duh, you say**, that’s just how time works.

That only seems unremarkable to you because it’s all you’ve ever known, and you’re adapted to it—personally and evolutionarily.  But if you step back, so to speak, it can seem quite remarkable.

Special Relativity demonstrates that space and time are not separate but are intertwined, and space and time bleed into one another depending upon relative motion—indeed, within the event horizon of a black hole, it appears that space and time are flipped ninety degrees (as though along an axis at 45 degrees to those of space and time) so to speak, so that space becomes time, which is part of why you can never get out of the black hole—you cannot reverse time, but must move forward to its end at the singularity, if such a thing exists, which is probably not the case.

So, why does time work differently than space?  After all, If I live on a street parallel to yours, I can cross to your street by any of a number of cross-streets, cut through back yards, follow alleyways, etc., in more or less any direction, and I can return in a similar fashion.

Imagine, though, if it worked the following way.  I start at my address—let’s imagine it’s number 13*** for the moment—and want to go to your street.  But I can only go by routes that are at higher address numbers than my address.  And then, when I want to return to my street I have to go down (or would that be up?) the numbers on your street, to take a cross-street (or whatever) that’s even farther from my house.

So, say I crossed to your street right after number 17, where a cross-street exists.  And say the numbers on your street line up with those on my street, just for simplicity’s sake****.  Luckily, your house is at number 19 on your street, so I can reach it.  I could never go back to number 17 on your street, let alone number 13.

But when I want to leave your place, I can only head toward higher numbers, so I can’t go back to the cross street near 17.  I have to go down to, say, the street past number 23.  But even once I get to my street, I can’t go back to my house!  I must head in the direction of higher numbers.

I can only get back to my house if my street goes all the way around the world and comes back to my house from the other direction, and I suspect that it doesn’t do that.  I’m stuck farther down my own street, homeless now, because I cannot reach my address.  And it’s not as though you can take me in, because I cannot go back to your address, either, and if you leave your house to meet me, you will be in the same predicament in which I languish.

That’s sort of how time seems to work.  Unlike the three spatial dimensions, we cannot simply choose our direction, change our mind and our course, go back to where we came from or even just go around and around the block (which may or may not be a stupid thing to do—see yesterday’s post).  Why is time different?  The laws of physics appear to be locally time symmetric as they are space symmetric.  In other words, they work the same backwards and forwards.  But macroscopically, time is directional.

I’ve speculated a bit on this over at Iterations of Zero.  I’ll try to link to the pertinent blog post(s).  Some of that speculation compares the directionality of time that we all experience to the directionality of space that exists here on the surface of the Earth.

Wait, you say, what do you mean “the directionality of space”?  (You do love to interrupt, it seems.)  Well, think about it.  When you’re on the Earth, the directions forward/backward and left/right (or any other non-parallel axes you might choose along the surface, such as north/south and east/west) are freely navigable.  You can go in any direction or combination of directions along them, barring local obstacles.  But the same cannot be said for up/down.  It’s much harder to go up than to go left or forward.  And if you lose support beneath your feet, you will be unable to avoid going down.

Perhaps, as has been speculated by others with greater expertise than mine, the “Big Bang” provides or entails a local state that creates a local directionality to time, but far enough away from that “event”, time will become just as non-directional as any spatial dimension.

This is the way it works with the dimensions of 3D space:  when you’re far enough away from a local “event”, such as the surface of the Earth, the dimensions are all freely navigable.  But there’s not too much to do there, and it seems that life and complexity are likely to emerge only where these local gradients—whether in space or in time or both—exist, doing their part to provide the “free energy” which is required by things like life.

Anyway, that’s my random set of thoughts for this Thursday.  I hope you have a good day.  As for me, I continue to follow the local directionality of my metaphorical space; in other words, I continue to trend downward.  I do not perceive any other available direction for me.

TTFN

*Or I think I do.  I have terrible hearing and persistent tinnitus, so I might have been hearing the sound of rain on the roof or of wind in the trees or of otherworldly, eldritch creatures scratching at the fabric of reality, trying to break through the barriers between their realms and ours.  Probably not, though.

**You’re a bit rude, don’t you think?

***It’s not, unfortunately.

****Simplicity is one high-maintenance person.

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The moving finger writes, and having writ, now must edit

This is it:  my last blog post of 2025 (barring some truly unexpected circumstances).  I will probably be writing a post tomorrow, because I think we’re going to be working tomorrow, despite the fact that it will be New Year’s Day, and a stunningly large fraction of the people of the world will be hung over or otherwise exhausted from ringing in the New Year.

I suspect New Year’s Eve/Day is the most widely celebrated holiday in the world, far surpassing the numbers who celebrate any mere religious holiday.  Since the world in general uses the same “Gregorian”* calendar, it’s a rare commonality for the human race, and worth celebrating.

If only they could work on finding more things in common, since after all, they have almost everything actually in common with each other.  And yet, they focus on trivial cultural or superficial differences and battle viciously over them, as if they were fighting truly alien beings.  Talk about your narcissism of small differences.

Humans are so stupid.  The more of them there are, the stupider, somehow, as though the lowest common denominator tends always to dominate the dynamics.  It’s like Tommy Lee Jones’s character said in Men In Black:  a person is smart, but people are dumb, panicky, dangerous animals, and you know it.

That isn’t always the case, obviously.  Humans have accomplished great things in large groups, interacting with mutual exchange to mutual benefit (or not so mutual benefit), but that probably only happens in rarefied circumstances, discovered or arranged by luck or by the skill of one or a few who are cleverer than average, and sustained thanks to a form of natural selection.

Because of the sheer power of such organizations of people, those rare few types of interactions can endure for tremendous lengths of time and be astonishingly effective and broadly prevalent.  This can distract one from the fact that the ideas were so singular and ingenious.

Money, for instance, has been invented more than once, but it’s a relatively low-hanging and particularly nutritious fruit, allowing as it does for the far more efficient exchange of goods and services to (ideally) mutual benefit.  Of course, commerce can be cheated and can thereby become nonproductive or even counterproductive, especially if one or a few entities obtain disproportionate wealth and power.  This sort of selection for detrimental equilibria happens in the world of biology as well.

Imagine a football game in which, every time one team scores, that team gains an extra player and the other team loses one.  Once one side takes the lead, they’re likely to keep it and increase it, making them ever more likely to maintain their dominance.  It can make for a pretty boring and not very productive game.  Such a situation is worth avoiding, even if you happen to be on the winning team.

Written language is, of course, the single most important human invention‒more important than even the invention of language itself, though that was a necessary prerequisite, so the argument could be made that it is more important or at least more fundamental.  Thankfully, language is a different type of thing than money, so it’s not as easy to game it to secure an unreasonable advantage for any individual or group.

There is, of course, an often-used attempted strategy of discouraging or preventing literacy in some groups or one sex (always the same one, it seems) to keep them from gaining the power that written language can impart, but it can be harder to keep those systems in place than for a monopoly to maintain its economic advantage.

Still, even written language isn’t automatically self-protective.  It’s possible for misinformation and disinformation to spread and even prosper, at least for a time (such situations tend to self-destruct), and it can do terrible damage, much as mutations in somatic DNA can lead to cell dysfunction, cell death, and sometimes cancer.

Analogous things can happen to whole civilizations as well, and they have happened many times, but that’s no reason to blame language or learning.  One doesn’t prevent cancer by eliminating DNA itself or by killing the host organism (that does eliminate the cancer, but in an unsatisfying way).  Only better, more thorough thinking and language, the equivalent of DNA proofreading, can do that without catastrophe.

And I, by writing this post, try to contribute to the good language, the useful or at least interesting language, in the world.  I suspect I will continue to do so as the next year begins.  I hope you enjoy whatever celebrations you have in store.

*Though Pope Gregory the Whatever Number was merely the one who commissioned it.  Astronomers and mathematicians actually did the work.  We have some scientifically literate Popes nowadays, at least, and a Belgian priest was among the first to do rigorous mathematics using Einstein’s new field equations (though Friedman got there a little earlier, his work was apparently not as convincing) to demonstrate that the universe could not be static** based upon them.

**Leading Einstein to introduce Λ (lambda), the cosmological constant.  He later called this his biggest blunder (supposedly) but it turned out to be a useful and term and concept in describing the apparent evolution of the universe as we know it now.  Like Planck before him, even Einstein’s fudges*** were deeply insightful and useful.

***Speaking of Einstein, I recently got an email from my old med school alumni association with the subject line “You are responsible for Einstein’s success”.  To which I so wanted to reply, “I know, right?  But did he mention me in any of his papers or even throw me a word of thanks (in German or otherwise) in his acceptance speech when he got his Nobel Prize for demonstrating that light comes in ‘packets’ which we now call photons?  No!  Ungrateful bastard.”

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“For years and years I roamed.”

Well, I might as well stick to the same pattern, so…ahem.  It’s New Year’s Eve Eve today, which means tomorrow will be New Year’s Eve and Thursday will be New Year’s Day.  At that point, if we wanted, we could just start counting days down or up‒i.e., Day 1, Day 2…or Day 365, Day 364…and so on.

Of course, if we were going to do such numbering, I guess it would make sense to divide things up into months for easier “local” day-keeping, which is what we’ve done as a civilization.  But those months are irregular and rather haphazardly named.  This can occasionally be irritating, though of course I have a sentimental fondness for at least some of the month names.

Unfortunately for the goal of making months of uniform length, the number of days in the year isn’t evenly divisible by any number larger than 5, unless I’m mistaken…

Yes, I was correct, unless you want to divide the year into 5 groups of 73 days.  That might be kind of fun, since 73 is one of those overlooked prime numbers, and it has the slight extra fun that its digits add up to 10, the base of our usual number system.

Still, especially considering the necessity of leap years (with the convoluted adding of days, removing of seconds, not adding a day when it’s the turn of a century unless it’s also the turn of a millennium and so on) it seems cumbersome to divide the year evenly.

I rather like the solution of making 12 months that are each 30 days long and having the remaining 5 (or 6) days be a period of celebration.  It could be held around one of the equinoxes or the solstices, or it could even be split up between two of them.  I’m inclined to put them at the end of the year, when the Winter Solstice in the northern hemisphere happens, because it’s long been a holiday time anyway.

Of course, this all biases against those in the southern hemisphere, but there are significantly fewer people in the southern hemisphere, or at least there were the last time I looked into it…

Yes, I was correct again, it seems.  According to my quick and dirty check, there are on the order of about a billion people in the southern hemisphere, as opposed to the remaining roughly seven billion people in the northern hemisphere.  I guess that means the winter solstice would be a good time for those separate days.  And I’ve not heard many Aussies complain about being able to go to the beach on Christmas or New Year.

Mind you, one could do that down where I live anyway, if one were so inclined.  I am not.  The beaches on the east coast of Florida are mostly annoying, and the Atlantic is not much fun for swimming.  The west coast of Florida, where one swims in the Gulf of Mexico, is much more pleasant.

I’m not a very big beach person at the best of times (or the worst of times) but I have quite a few pleasant memories of being on one or another beach on the Gulf (of Mexico).  They all date back to at least 33 years ago, though, so maybe it was just due to the nature of youth that I enjoyed them.

Alas, I’m not truly young anymore by most standards; I’m 954 years old.

Ha ha, just kidding.  Or, wait, maybe not.  I know that exoplanets have been discovered that orbit very close to their stars, and so have orbits that can be as short as a few Earth days (possibly fewer).  So, if the universe is infinite in spatial extent, which it so far looks as though it is, and if there is no lower constraint due to the laws of physics on the length of possible “years”, then there exists, somewhere in spacetime, a planet by the years of which I would be 954 years old.

Actually, if spacetime is infinite, there should be an infinite number of such planets even if they happen only once within any cosmic horizon.  But let’s not get into that right now.

Let’s do the math; it’s simple and easy, so why not?  56 years old x 365.25 days in an Earth year makes me 20,454 days old, at least on my latest birthday.  Dividing that by 954, which is almost a thousand, should give a year length of roughly 20 days per year…okay, well, the “exact” number of 21 and 70/159 days per planetary year is what is required to make me 954 years old.

Actually, though, since the number of days in that hypothetical year is smaller than the time since my last Earthday birthday, I will have to adjust my days’ old age number to the precise one:  20,525 days, which if divided by 954 gives us a year length of 21 and 491/954 days, or 21.51 days (playing slightly free and loose with significant figures).  There will be a range of possibilities, of course, since I could be anywhere in the 21-ish day course of my 955th year and still be able to call myself 954 years old, if we go by similar conventions to those followed by humans on Earth.

Okay, well…that was sort of a weird digression.  I know, I’m weird, so maybe given that, a weird digression is, in a sense, not weird.  But given other considerations, it still is.

I am an odd person, I know (though I don’t know if I’m prime).  Sometimes‒rather often‒I think I’m losing my mind.  At other times, though, I think my mind is functioning within parameters, but it is contemplating things that are vast and potentially troubling to the feeble mortal ego if one does not drape oneself in the obscuring veil and cloak of delusion.  But my fabric sensitivity doesn’t allow me to tolerate such garments for long; you could say I lack PPE for such things.  Perhaps the secret is to destroy the ego (which may well just be an illusion, anyway), but that is more easily said than done.

Who knows?  Not I.

And yes, it’s “Not I” not “Not me”.  You wouldn’t say, “Me don’t know”, so you shouldn’t say “Not me” in response to the question “Who knows?”  Apologies to David Bowie and Nirvana‒but The Man Who Sold the World is a song, and so they are allowed poetic license.

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“And, to SLEEP, you must slumber in just such a bed.”

Well, it’s f*cking Saturday, and I’m going in the to f*cking office to f*cking work, because it’s not challenging enough for me to recover my limited mental equilibrium when I have two days off, so I should try to do it with one as often as possible.  Oh, and the one day I supposedly still have to take off is the day I have to do all my laundry, which means I have to go into the other part of the house and, more often than not, deal with their overly energetic and poorly trained dog‒and it’s a big dog.

I’m not afraid of dogs.  I like dogs, even very large ones.  But I have little sympathy for dogs that have not been trained, and who act like they’re still teething or something.  If it were my dog, I could rapidly train it out of the habit of putting its moronic jaws around peoples’ forearms, and it and I and others would be happier overall.

Maybe next time I’ll go out with suntan lotion or even pepper spray all over my arms, so it gets an unpleasant mouthful if it tries.

Honestly, sometimes I’m tempted just to slip it a few chunks of the rat bait/poison that I have.  It’s not the neurotoxin one, which is supposedly less harmful to people and pets than to rats.  It’s the super-coumadin, blood “thinning”, anticoagulant one.  To be honest, though, I would probably not be willing under nearly any circumstance to poison a dog, since the agency of such a creature is limited and its poor behavior is largely due to the humans in its life.

And yes, of course I have a big, multi-pound bag of rat poison.  Who knows, I might get peckish at some point and want it as a snack.  The holidays are upon us, after all, and it can be so hard to stay on a diet at this time of year.

Anyway, that’s just one possible nosh that I have for potential last meals.  I even have a couple of emptied out fiber capsules that I’ve refilled with broken glass pieces.  They would actually go nicely with the previously mentioned snack, wouldn’t they?  Like salted caramel, the two components could really enhance each other.  You might even call it synergy.

Enough about such tempting treats.  The point is, I’m going to the office today.  Then I’m heading back to the house.  Then I’ll be trying to rest if I can for the remainder of the weekend, though when I think of my own mind, I am inescapably reminded of Boromir describing Mordor:

That works pretty well to describe my very annoying brain/body.  I cannot seem to sleep very long, and I never feel like I sleep “all the way” if you will.  I am always somehow on yellow alert; I don’t know why.  It’s exhausting.  There are plain few upsides or effective distractions, and almost never any relief.

I don’t even know what I’m writing about right now, really.  I just feel a general, free-floating hostility and even hatred for most things in existence.  Sometimes I just want to wipe out the whole universe.  It can be done rather easily, at least from a certain perspective.

Incidentally, creating a new local source of the hypothetical inflaton field would probably not do the trick, assuming that inflationary cosmology is correct.  Most of the mathematical solutions to that possible situation indicate that, such a field would initiate a new, rapid, inflationarily expanding “universe”, but from the perspective of our universe the created bubble would just plop through and out of spacetime.  I haven’t done the math myself‒I am not adequately trained to do it at this time‒but I have this from more than one fairly reputable and reliable source, including people who actually do have the necessary expertise.

I’ve previously discussed vacuum collapse; if one could figure out how to trigger that‒assuming it is possible‒one could literally wipe out everything in the current universe.  Though, of course, it would take a long time, since it could only happen at the speed of light, so really, you’d only be wiping out everything in your future light cone.  There may be no way to destroy the universe that doesn’t effectively take a limitless time to accomplish.

On the other hand, when I spin around, it’s possible to view that action as the universe spinning around me while I’m stationary.  There are legitimate reasons why we don’t tend to think of it this way, but it’s a perspective that can be taken.

From that sort of perspective, when one dies (from one’s own point of view at least) the entire universe ceases to exist.  It’s very simple and thorough!  Of course, if there is an afterlife, that plan would fail, and one would be forced to go back to the drawing board.  But I’ve never encountered even borderline intriguing evidence or argument that might indicate an afterlife exists, unless you count things like a Poincare recurrence*.

So there is at least one reasonably reliable and plausibly achievable way to destroy the universe, from my point of view.  And the good thing about that is, from other points of view, the universe would still exist, and this would be no more contradictory than the fact that someone falling through the event horizon of a large enough black hole wouldn’t even notice it happening, but those far away would see the faller as never even quite reaching the event horizon.

Anyway, that theoretical stuff isn’t really very interesting for present purposes.  What matters is, at the very least, I can destroy the universe in a sense, if I so desire.  And every day it seems to become more and more tempting to do so.  This world is just so disgusting so often, and it’s not just humans that meet that description.

Ah, well.  Try to have a good day if you can for as long as the universe does exist.  After that, you’re on your own.

*Or the possibility of quantum immortality in the context of Everettian quantum mechanics.  But the various other possible alternate versions of me in such a theoretical quantum multiverse are not “me” even now, from my point of view‒not exactly, anyway, not in any sense that I can experience.  So future possible subsets of the wave function of the universe that contain randomly immortal versions of me are not worth taking into account, and they are vanishingly rare**.

**Though I suppose, as time goes by and all mortal things die, the quantum wavefunction of the universe might come to be dominated by such versions of…well, everyone.  None, however, would be able to interact with each other as far as I can see.

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“Shadows of the evening crawl across the years”

Well, it’s Wednesday morning‒insert your joke of choice related to the Beatles song She’s Leaving Home here‒and here is my blog post for the day.  I will not be posting tomorrow (barring the very much unforeseen), since today is Thanksgiving Eve* here in the US, and therefore tomorrow will be Thanksgiving.  I will not be working on Thanksgiving, so there is to be no “traditional” Thursday post.  I’m sure you’re all devastated, but hopefully you can eat yourself into a stupor tomorrow to flee from your sorrow and loss.

Speaking of stupors, I slept a bit better‒or at least a bit longer‒last night than the night before.  This is because, despite it being a weeknight/worknight, I knocked myself out a bit with an OTC sleep aid.  So, if I seem a bit odd today‒for me, I mean‒that’s probably why.

Of course, I’m well aware that the sleep induced by such medications is not proper sleep.  That’s a very interesting fact for someone who gets proper sleep on their own, but it’s pretty theoretical to me.  It’s a bit like quibbling by saying, “going through a wormhole to get to a distant part of spacetime quickly isn’t really going faster than the speed of light”.  Well, okay, if I can find ways to break the laws of causality** I will, but in the meantime, I’ll use the wormhole.

Likewise, sometimes I just want to be unconscious, and I have a hard time achieving it on my own.  Oblivion is such a relief when and if it happens (so to speak).  Yet, even when I do sleep, there’s always a background watchfulness in my head, a feeling that where I am is not safe in some sense, so I cannot completely relax.

I almost never wake up without some manner of start, i.e., a bit of a jump in place.  I don’t know why***.  Maybe this is just the way it is when you’re nominally a member of a species of pack hunters but you’re functionally completely alone, separated from whatever group(s) there were to which you belonged and surviving on your own as best you can.  The world is never fully safe for such a creature.

Well, the world is never fully safe, period, full stop.  No one here gets out alive, after all.  Nevertheless, natural selection tends to lead to the state where the only surviving organisms are descendants of those who feel fear and who feel pain and who try to stay alive indefinitely, even when that survival is pointless (biologically speaking, I mean‒I won’t get into the deeper philosophical questions that can apply, because that would take too much time and energy).

I’m going to bring this to a close here pretty soon, if I can.  My thumb arthritis is acting up, today, and writing this is more painful than it usually is.  Well, actually, I don’t know that “arthritis” is the proper word, since that implies a process that is primarily inflammatory.  It’s probably more precise to say “arthropathy”, which just means “something wrong with a joint”.  “Arthralgia” works quite well here, also, meaning just “joint pain”, but it’s pretty darn vague in its implications of any possible cause.

I suppose it doesn’t make a great deal of difference.

Anyway, I hope everyone who is celebrating has a truly wonderful Thanksgiving Day tomorrow, and that you spend a pleasant time with friends and family (and maybe some football).  I will be back on Friday, barring (as always) the unforeseen.  I work at a sales office, after all, and Friday is “Black Friday”, traditionally the biggest sales day of the year in the US.  Though, there has been a significant degree of “feature creep” or whatever the best term might be regarding that, so now the whole of this time of year is becoming an extended “Black Friday”.  Natural selection tends to encourage such things.

Anyway, I expect to write a post on Friday, so I will “see you” then.  Or at least you will see me.

*There is no such holiday, official or unofficial, as Thanksgiving Eve, but it’s still obvious what I mean by it.  Isn’t it?

**The speed of light in a vacuum being the speed of causality.  This appears to be a large part of why nothing can travel faster.  How could something move more quickly than causality?

***As far as I can tell, it’s not because of having gone to prison.  For one thing, my sleep problems started way before that pleasant interlude.  For another, I didn’t have any real problems with people starting shit with me in prison.  Apparently, I looked (look?) a bit nuts or something.  Also, honestly, I got along okay with people there, all things considered.

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“No need to get up-tighter”?

It’s Monday again, and though it is not raining down by me, I’m all but certain that it’s raining somewhere right now, so one could say “it’s raining again” without fear of being entirely wrong.  No matter how you might want to cut up spacetime based on “planes” of “simultaneity”, there is sure to be somewhere in the universe where it is raining now.

Actually, if the universe is infinite in spatial extent, one could probably prove that it is a mathematical certainty that it’s raining somewhere, since there are‒as far as we can tell‒only a finite number* of possible quantum states in any given region of spacetime, and some of these include rain.  Indeed, even if it were not raining on Earth, anywhere, in some given instant (an unlikely eventuality), the fact is that rain can happen in many places in many forms.  I’m led to understand that it sometimes rains neon in the atmosphere of Jupiter.

So, perhaps the song by Supertramp shouldn’t have been It’s Raining Again, but should have been It’s Raining Still.

I don’t know.  Maybe that wouldn’t suit the rhythm of the song.  Then again, it always was a song where the sentiments expressed in the lyrics didn’t quite match the upbeat character of the tune.  This was probably deliberate on the part of the band.

Oh, in case anyone was wondering, the reason there was no post on Saturday was that, indeed, we did not work in the office on Saturday.  We didn’t work out of the office, either, as far as I know.  Well, I know I didn’t work, so even if they worked, we did not work, so I guess I’m right there.

I did a fair amount of walking on Saturday, and nearly as much on Sunday, though Saturday’s walk was more interesting.  I walked in a “park” along a canal in south Florida, and found myself well down into Dade County before I found an exit from the park area that took me to a road on which I could get something to quench my thirst and a place to which to call an Uber (they have a hard time picking one up in a park alongside a canal).  I had walked about seven and a half miles, and I could tell I was getting a bit too much sun**, though my feet and ankles and knees seemed to be holding up okay.

On Sunday I went for another walk, during which I had enough sunscreen.  That was because on Sunday I took my walk solely for the sake of walking, unlike Saturday, on which I had a specific purpose, and my longer walk began on a whim after that purpose was achieved.

It wasn’t an interesting or noteworthy purpose, by the way.  I’m just not discussing it because it cannot have any bearing for anyone but me.

Let’s see, is there anything else going on that’s worth discussing?  Well, of course, there are things going on in the world, and in the universe, and so on, all the time, and probably many of them are worth discussing to someone, or would be, even if no one knows they are happening.  But, of course, pretty much anything that happens, no matter how locally momentous, is historically trivial, let alone cosmically trivial.

Probably there aren’t many things that aren’t cosmically trivial.  I suppose if inflationary cosmology is real and it started at some locus in spacetime, then that would not have been trivial.  But if there is eternal inflation, there’s a real question as to whether it started at all.

Of course, even then, with eternal inflation, the local drop of the inflaton field down to the vacuum state (or a pseudo-vacuum state) here in our bubble universe‒leading to the formation of our universe, all its matter and energy, and possibly the configuration of our natural laws and constants‒would seem to be significant.

But that would only be significant to us, the creatures in this bubble universe.  On the scale of the cosmos overall, it would be just one bubble universe formation in an endless sea of such bubble universes, each one no more striking than the cavitation bubbles that form and then collapse in water that’s starting to boil.  Indeed, if our universe is such that an eventual recollapse will happen, i.e., a “Big Crunch”***, then we really are a lot like a cavitation bubble.

I guess this has been a slightly odd way to start the week‒which is unfortunate, given that today’s date is an even number (24) not an odd one.  But I don’t think I’ve ever claimed not to be an odd person.  I think I’ve known that I was different and a bit peculiar‒perhaps more than “a bit”‒since I was very young.  That’s okay in and of itself.  If most people are “normal”, why the hell would anyone want to be normal?

With that, I wish you all an abnormally good day and week, and if you’re in the US, I hope you have a good holiday coming up, and that you are anticipating it with eagerness.

*It’s big, don’t be mistaken.  But the biggest finite number you can think of‒ever‒is no closer to infinity than is the number 1.  So, in a universe that’s infinite in spatial extent, all possible finite configurations will be instantiated somewhere‒indeed, they will be instantiated an infinite number of times.

**I hadn’t planned on such a long walk, so I was not prepared in that sense.

***Our best information right now seems to indicate that we are not going to recollapse, but that we will continue to expand, at an ever-increasing rate.  I suppose that would make us more akin to a bubble that fully forms and expands in boiling water, escaping from the liquid into the air above.  Such bubbles are no more important than the cavitation bubbles, though.  They’re merely different. 

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Bing-bing-bing! Ricochet Robert.

I’m in a rather unusually bad amount of pain this morning, even for me, so please excuse me if my thoughts are somewhat incoherent or distracted or grumpy-seeming.  Though I don’t know how you would be able to tell if I’m grumpier than usual.

It’s Monday yet again, and it’s only been two days since my last post, not three, because I worked on Saturday, and on that day, I also wrote a very angry blog post.  I think some people might have found the degree of malice I expressed on Saturday disquieting or at least just not good, which I can understand.  I tend to think of such terrible things a lot more often than most people do (though I share them only infrequently); it’s one of the reasons I find my own company unpleasant.

But, of course, I’ve tried to compensate for my dark tendencies by doing as much good in the world as I’ve been able to do, such as by becoming a doctor.  I’ve never actually acted on any of my darkest impulses and dreams, except when I write horror stories, or when I write non-horror stories with horrible elements in them.

I guess maybe that’s one of the things that’s been therapeutic for me about writing fiction.  Maybe the trouble is right now that I don’t have a good outlet for my terrible thoughts.

Of course, I know that the idea of thoughts and emotions as “substances”, as if some manner of fluids, which can build up and need release is not merely incorrect, but is not even a good analogy for how emotions and other neurological states work.  This is part of why meditation is far more effective against stress and tension than is, for instance, the often counterproductive notion of catharsis.

Of course, sometimes things that work well for neurotypicals don’t work nearly as well for those on the autism spectrum*.  For instance, there is apparently some reasonable evidence that cognitive behavioral therapy, which often works quite well for neurotypicals with depression, is not as effective and can even be counterproductive for autistic people; we already tend to over-self-evaluate our cognitions, and so the tricks and workarounds of CBT often are not merely redundant but miss the issues entirely.

Along a line of possibly similar nature, I’ve written before about how meditation often serves to reduce my anxiety but at the same time worsens my depression.

And yes, in case you’re wondering, I think it’s all a matter of neurological states‒or neurohumoral states if you want to be slightly more precise.  I’ve spent nearly my whole life interested in such things; still, I have found neither evidence nor argument that has so far persuaded me that there’s any significant credence to the notion that humans are anything but temporary patterns of matter/energy, “spontaneously” self-assembled like any termite mound/colony or beehive/swarm**.

Once that pattern breaks because it can no longer sustain itself, due to injury or age or what have you, there is nothing more to it; it’s a hurricane that has passed.  There can be records and traces of its passing, and the damage it has done can linger for a long time, but there is no “afterlife” for weather patterns.

People are more complicated than hurricanes, at least in some senses, I will admit that.  But more intricate complexity doesn’t tend to make things more durable; it makes them more fragile, ceteris paribus.

Of course, all else is almost never equal.  Nevertheless, it’s often useful to consider complex matters as partial differential equations in more than one variable***; one explores the equation by holding all but one variable constant and differentiating or integrating along only one variable at a time.  As long as one thinks carefully about such things and never forgets that one is holding the other variables constant‒and by not forgetting, hopefully avoiding the oversimplification of one’s model of reality‒one can penetrate a great deal by recognizing when powerful tendencies persist even given the fact that other variables can influence matters.

For instance, the metallicity**** of stars influences the size at which they undergo certain levels of fusion, which is why it is thought that the earliest stars had different lifespans and luminosities relative to mass than later stars (like our sun).  But they still, overall, behave like stars, and the bigger ones shine brighter and last a shorter time than the less massive ones.  They are more alike than unalike, the narcissism of small differences notwithstanding.

Well…that tangent, or series of tangents, sure took me down unexpected paths!  But I guess that’s the nature of tangents; in any nonlinear but continuous function (even one as simple as a circle), there are a functionally infinite number of possible tangents.

I think that’s the right mathematical metaphor; isn’t it?  I guess it doesn’t much matter.  I’m just expressing my highly stochastic thoughts (I doubt they’re truly random) as they come.  But they would probably follow different courses if I did not express them in this fashion.

I hope your own thoughts are less troublesome to you than mine are to me and that you are at least at some degree of peace with yourselves and with each other.  You might as well be, though I know that’s not enough to guarantee it.  Still, do what you can, okay?

*Which I am, as you may know; I have written at least in passing about my recent, quite late, diagnosis.

**I don’t mean “like” here as “the same as” but rather “in the same fashion as”.

***My terminology is a bit sloppy here, but I’m not trying to be mathematically rigorous, I’m just trying to get my thoughts across with some clarity and accuracy.

****To astronomers/astrophysicists, a “metal” is any other element but hydrogen and helium (this no doubt irks chemists).  The earliest stars would have been almost entirely hydrogen and helium, certainly to start off.  Mind you, even later generation stars like the sun are still by far mostly hydrogen, but seemingly small “contaminants” can have noticeable effects on big systems, as in the fact that water vapor and carbon dioxide markedly affect Earth’s atmosphere and surface temperature despite being present in tiny amounts compared to nitrogen and oxygen.

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If the vacuum collapses, everything gets messy

It’s Wednesday morning now, and I feel slightly better than I did yesterday, which should probably be no surprise.  I went back to the house last night, and I had a decent sleep‒for me, anyway‒and no major evening issues.  Now I am working my way toward the office.  It’s payroll day, so it should be at least mildly more hectic than most other days, but it shouldn’t be too unbearable.

Well, it shouldn’t be unbearable at all.  I mean, the state of being unbearable or not is a purely binary thing, isn’t it?  Either something is bearable or it is not.  If something is unbearable, then it cannot be borne.  So, saying something is not “too unbearable” is probably almost always nonsensical.  I suppose one could imagine something being only just unbearable, so that one could almost be able to bear it…but not quite, and one would finally be forced to succumb to whatever outcome that entailed, despite one’s possibly heroic struggles.

In some ways that sounds like it could be worse than something being thoroughly and unequivocally unbearable.  If one can see that something is truly unbearable, one will probably be less likely even to try to bear it.  One would not bother attempting to style out the brunt of a supernova; if one could not get far enough away, one would presumably just close one’s eyes and grit one’s teeth and take what comfort one could in knowing that the explosion will probably happen and obliterate one faster than any nerve impulse could propagate.

That’s one of the (tiny) comforts about the possibility of there being a “vacuum collapse” of the universe, in which the present “dark energy” vacuum state could, hypothetically, quantum tunnel down to a lower, truer vacuum state than the present one*, releasing that potential energy drop in such a way that wipes out all currently existing particles/fields.

This would erase everything in our visible universe (the “visible” part is deliberate and crucial; do you see why?**) in a sort of wave of collapse that starts at the site of the first state change, like the propagation of ice crystals forming in hitherto supercooled water.  But though it would be a shame, from our point of view, it would be one we would never experience, since the bubble of state change would expand at the speed of light.  It would thus be literally impossible to see it coming, because once you could see it, it would already be there, and you would be wiped away before you could possibly be aware that it was happening.

By the way, this possibility is “only” hypothetical; we aren’t even sure it could happen, not least because we’re not sure whether the vacuum state of the universe is as low as it can go or not, among other things.  But don’t worry:  if the vacuum collapse of the cosmos doesn’t kill you, something else will.

Even my truly immortal vampires in Mark Red might be wiped out by vacuum collapse.  I suspect they would, which might be a comfort to many of them, so to speak.  Of course, that would depend very much on how the “supernatural” forces in that book’s universe interact with the vacuum state and other quantum fields.  It’s not inconceivable that they might survive even that.  How’s that for horrifying?

These are odd thoughts for a Wednesday morning, aren’t they?  I mean, on a Thursday they wouldn’t be that odd, and even less so on a Friday.  On a Saturday they would be almost boringly predictable.  But on a Wednesday morning?  That’s just, well…odd, as I said.

I’m being silly.  My apologies.

I guess it’s more uplifting than is the prospect of universal Armageddon***.  Though, really, the Tao te Ching (in the version with which I am familiar) encourages us to embrace death with our whole hearts because that will help us to be prepared for most everything else we can encounter.

It does not encourage us to love death or to seek it; quite the contrary.  We are merely encouraged to accept it, not just intellectually but viscerally, to internalize***** it.  This is one of those curious circumstances in which the Tao to Ching and the movie Fight Club give the same advice, which is no indictment of that advice in either direction.

I try not to indulge in the vice of advice, but I will express my hope that every one of you who reads this post today or any of my other posts has a particularly good day, today and every day hereafter.

You’ve suffered enough already.

*This is analogous to what is thought to have happened when the “inflaton” field dropped down to a much lower energy level about 13.8 billion years ago, releasing the differential energy as the very hot soup of elementary particles that eventually became the universe we see.

**Okay, fine, I’ll explain.  It’s not just that the wave is expanding at the speed of light and so one would “see” it only as it hits.  But, given the current, accelerating expansion of the universe, the wave of change could never, even in principle, reach areas of the cosmos that are outside our cosmic horizon, because those places are receding from us faster than the speed of light/causality.  There is no causal influence from us that can ever reach them, or vice versa (assuming no wormholes or warp drives or similar).  Likewise, someplace beyond our horizon****** could be collapsing already, but we need never worry, because that collapse is not going to reach us (unless it changes the rate of overall cosmic expansion or even reverses it, which is not inconceivable.  We might then find ourselves in (or near) an anti-deSitter space, in which case, well…yeah).

***Not to be confused with the often misused**** term “apocalypse” which is basically just synonymous with “revelation”.  It’s become associated with the end of the world (and with lesser catastrophes) because one of the alternative titles of the book of Revelation is “The Apocalypse of Saint John the Divine” or whatever they called that nut bar.

****That rhymed, and it had a good rhythm too, both quite by accident.  I did that in yesterday’s or Monday’s post as well, but I didn’t call attention to it.  Can you find it now?

*****I would love to be able to use the term to grok it as in Heinlein’s Stranger in a Strange Land, but much as when Fuckerberg stole the term “metaverse” from me, likewise Elon Musk and the would-be tech boys who idolize him have arrogated the term “grok” and made it embarrassing to use.  Don’t even get me started on the disgusting theft of the word Palantir by Peter Thiel.  He deserves to be tortured interminably for the unmitigated gall he has shown in daring to use that term, but I would accept his immediate, painless disintegration and that of his company.

******Speaking of horizons, it is interesting to wonder what a vacuum state collapse would do to currently existing black holes.  I suspect they would basically be impervious to it, since the vacuum state is something that exists within spacetime, with the gravitational field as the backdrop of other quantum fields, but we don’t necessarily know enough about quantum gravity to feel very sure, as far as I know.  I suspect it might change the specifics of Hawking radiation at the level of the event horizon, and thus change the specific rate of black hole decay.  Also, I think in the first rush of particles generated by such a vacuum decay, most black holes would grow briefly with the influx of newly released energy all around them that had previously been bound up in the vacuum energy.  But that’s just my initial intuition.

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Noisy events on the horizon of my attention span

It’s Tuesday, isn’t it?  Well, I guess it may not be Tuesday when you’re reading this, but it’s Tuesday as I’m writing it.  It’s the second day in the latest of a seemingly endless stream of utterly pointless “work weeks”.

Welcome to our world.  Welcome to our world.  Welcome to our world of noise.

That’s a paraphrase of the song that was (and may still be) sung by the dancing animatronic puppets in the main front area of the big F.A.O. Schwartz store that sits just by the southeast corner of Central Park in Manhattan.  I’m not sure why I felt like including it there, but it definitely expresses the sentiment I have that nearly everything in the universe is effectively “noise” in the information theoretic sense.  At the very least, the signal-to-noise ratio in the world is vanishingly tiny.

It’s not zero, mind you.  There’s some info hiding in all the nonsense.

Of course, whether something is signal or noise depends very much on what signal you’re seeking.  If you’re trying to detect gravitational waves, then nearly everything else around is “noise” in the sense that it is not evidence of gravitational waves, and is just going to make that evidence harder to find.  But if you’re an ornithologist, then at least some of that seeming noise might be the birdsong “signal” of a rarely seen species there in Louisiana, which I think is where the first LIGO observatory was constructed*.

And, of course, if you’re a seismologist, what you consider a significant signal would very much be noise to the LIGO people.  If there were a gravitational wave strong enough to be seismically significant, it would have to be from a very close and catastrophically violent event.

We don’t expect there to be such a thing any time soon.  And apart from such events, gravitational waves are so relatively weak‒gravity being by far the weakest of the “forces” of nature‒that so far they can only be detected from things like black hole and/or neutron star mergers, which are ridiculously violent events.

Incidentally, apparently recent observations of one such merger has given confirmatory evidence for Stephen Hawking’s black hole horizon theorem**.  That states that when two black holes merge, the (surface) area of the new, combined event horizon must be at least as large as the two prior event horizon areas combined.

In this, as in other things, black holes and their horizons act very much like the 2nd Law of Thermodynamics, and that is consistent with the Bekenstein-Hawking thesis that the entropy of a black hole is proportional to the area of the event horizon, as measured in square Planck lengths.  Indeed, the maximum entropy‒the maximum information‒of any given region of space is that which would be encoded upon an event horizon that would hypothetically enclose such a space.

As for the volume of a black hole within the event horizon…well, that’s harder to quantify.  The apparent radius, as judged from the sphere of the event horizon‒the Schwarzschild radius for a non-rotating black hole‒is almost certainly much smaller than the radius that would be perceived by someone within the horizon, for spacetime is very distorted there.  Indeed, I suspect that, at least by some measures, the volume within a black hole‒or at the very least the radius from the “center” to the horizon‒is infinite, with the “singularity” actually stretching down away forever.

Of course, an asymptotically infinite well of that sort need not always have infinite volume.  There is, for instance, the counter-example of “Gabriel’s Horn”, a shape made by rotating a truncated function (y = 1/x for x ≥ 1) around the x-axis.  This shape has infinite surface area, but it has a finite volume(!).  So you could fill it with paint, but you could never finish painting the inner and outer surface.  Weird, huh?

Of course, the dimensionality of things within a black hole’s event horizon is probably at least one step higher than things in the Gabriel’s Horn comparison, so the finite/infinite comparisons may not translate.

I’d like to be able to do a better job working that out with more than my intuition; that’s one reason why I own no fewer than four fairly serious books on General Relativity.

That’s not the only reason, of course.  I would also like to try to solve what happens to a space ship that accelerates near enough to the speed of light that its relativistic mass and relativistic length contraction puts it below its own Schwarzschild radius (at least in the direction of motion).  Also, how would that figuring be changed if the ship were rotating around the axis of its motion***?

Unfortunately, I rarely have the mental energy to put into pursuing adequate mastery of the mathematics of GR, and so I can (so far) just try to visualize and “simulate” the spacetime effects in my imagination.  That’s fine as a starting place, but even Einstein had to master the mathematics of non-Euclidean geometry and matrices and tensors before he could make General Relativity mathematically rigorous.

It’s almost certainly a pipe dream that I will ever get to that level of expertise.  My chronic pain and chronic depression (dysthymia) combined with the effects of my ASD (level 2****, apparently) and the effort that’s required for me to act “normal” enough to get along just really wear me out mentally.  It’s frustrating.  I have a stack of pertinent texts above my desk at work, where I hope they will entice me.  I even have a copy of my old Thomas and Finney college calculus text there too, so I can do some reviewing in that.

If only I were able to spend some time without pain and to get a good night’s sleep once in a while, I might even make progress.  I suspect that such things are not in the cards, however.

I would love to be dealt The Magician (in Tarot cards) but I fear that I am just The Fool.  Oh, well, that’s all just metaphorical, anyway.  It’s possible to predict the future, of course, but it is difficult, and it’s very unlikely that any set of cards‒however cool they may be‒is the way to do it.

*I remembered correctly.  It is in Louisiana.

**The theorem, being a theorem, is mathematically rigorous, but the question remains whether it describes the way our universe actually works.  That is always a matter of credences rather than “proof” in the mathematical sense.  In the real world, probabilities may come vanishingly close to zero or to one, but they never quite reach them.

***In Special Relativity, when something is traveling around a circle at a significant fraction of the speed of light, length contraction has the effect of “shrinking” the circle from the “point of view” of that which is moving at that speed.

****”Requiring substantial support” according to the official definition.  I do not have such support.

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“The sun is the same in a relative way, but you’re older.”

Okay, well, here we are.  It’s Wednesday.  I don’t know what else there is to say about the day.  I guess…yeah, I don’t know.  It’s another day.  It’s a stretch of (roughly) 24 hours, the specifics depending on whether you’re using solar time or sidereal time or just the “self-contained” UTC time*.

UTC time is kept on a variety of clocks around the world and is based on the oscillations in the hyperfine transition frequency of the Caesium-133 atom.  That frequency has been defined as 9,192,631,770 Hz.  The international measuring community thing, whatever they call themselves, thereby agreed on defining the second as exactly 9,192,631,770 of those Caesium-133 oscillations.

Of course, oscillations of atoms, like all other processes that take time, slow down with increased spacetime curvature and with increasing speed relative to any given observer.  This is why the GPS satellites have to adjust their own time to account for both special and general relativity.  It’s pretty cool; you’re carrying proof of Einsteinian relativity in your smartphone.

You probably already knew that.

Then, of course, once they’ve decided on the precise value of a second‒knowing that the speed of light (or more precisely the speed of causality) is constant‒they then defined the meter as how far light travels (in a vacuum) in⁠ 1/299,792,458⁠ seconds (approximately 30 2/3 “vibrations” of a Caesium-133 atom).  Mind you, two observers moving relative to each other will see their meters as different each from the other, but c’est de la relativité.

It can be easy to imagine that definitions of units in science (and related fields) are not merely arbitrary but circular, almost tautological.  But really, given that these are attempts to codify specific attributes of reality itself, they would almost have to be self-referential with each other to be useful.

The length of a day is something that happens for real.  Thanks to the base 6 and 12 numbering system of the Babylonians, the day was long ago arbitrarily divided into 24 hours, each 60 minutes long, and each 60 seconds long, so a second was 1/(24 x 60 x 60) days or 1/86,400 of a day.

That worked well for a long time, especially since, before Galileo et al, humans couldn’t really measure time very precisely, anyway.  And then, until railroads allowed rapid travel between cities, it wasn’t necessary to worry too much about having the same time in different places.

But eventually that did become useful and necessary for many purposes, and eventually it was realized that a day wasn’t exactly what we were calling 24 hours, and indeed, that the length of a day varied slightly from day to day and year to year; also, a year isn’t a whole number of days long.  Also also, a day could be measured relative to the sun‒which is close enough that a day doesn’t end quite exactly after one full rotation since the Earth moves relative to the sun over the course of a day‒or with respect to distant stars, by which estimate a day comes closer to being exactly one complete rotation.

For most people most of the time, though, this precision, and that upon which it is based, are probably not merely irrelevant but unknown and unguessed.

Likewise, I don’t know how many people know about how Celsius made his temperature scale 100 degrees between the freezing and boiling of water at sea level pressure (a pretty reasonable choice, though I’m led to understand he initially had 100 assigned as the freezing point and 0 the boiling point!).

Then it was discovered that there existed a minimum possible temperature in principle, and they decided to set that scale, the Kelvin scale (named after William Thompson Scale**) using degrees of the same size as Celsius, but with zero defined as‒understandably enough‒absolute zero.

It’s all fairly interesting, if you’re in the right frame of mind.  But, alas, there’s every reason to suspect that all this information will be rendered moot and useless and perhaps even lost as the world winds down, or if life is replaced by artificial intelligence, or everything ends in some other way, as seems more than possible even in the relatively short term.

In any case, the laws of physics, as we know them, seem clearly to predict that the universe will tend toward ever-greater entropy and eventually all life, all structure will end.  Sometimes, I think it cannot happen soon enough for my taste.

Then again, there are cyclic universe proposals, such as Roger Penrose’s Conformal Cyclic Cosmology.  It bases its model on the fact that entropy, though always tending to increase, is not really an absolute quantity, not a substance, and that our universe’s “maximal” entropy may be the next universe’s low-entropy beginning, just on different scales; it doesn’t even require any “inflationary” burst of expansion to explain the uniformity of the CMB, I think.  I haven’t yet finished Penrose’s book about CCC, because though he is a stunningly brilliant mind, his writing can be a bit plodding and dry.

I guess it’s hard for any person to be good at everything, though Penrose has many strengths.  If memory serves, he invented a set of shapes which can be used to tile an infinite plane (in principle) with no gaps and no repeating patterns.  Supposedly this has been proven to the satisfaction of professional geometers, though I am not familiar with that proof.  Still, if it is a mathematical proof, then it is one of those rare things that we know to be certainly true, given its set of axioms.

It’s not necessarily useful in any practical sense, of course.  For instance, I think it’s probably true that any tiling system that can tile an infinite plane without repeating could not be used to tile a closed, finite, simple geometrically shaped portion of a plane‒such as a rectangular room.  I think you would always have to cut some of the tiles as they reach the wall, no matter how big the room is, as long as it is finite.  I do not know this for certain, that’s just my intuition.

Well, I guess I’ve wasted space and time enough here for now.  It’s no more wasteful than has been my entire existence, I guess, but also no less wasteful.  Or is it?  I don’t know.  In any case, for now I will stop wasting your time.

Please have a good day.

*Yes, it’s probably redundant to say “UTC time”, but the order of the acronym is sort of Yoda-esque‒it did not originate with an English term‒so I feel it’s tolerable to use it this way here.

**That’s a joke.  He was really William Thompson, the first Baron Scale***.

***I mean the 1st Baron Kelvin, of course, all joking aside.  A baron scale sounds like some long forgotten and unused (i.e., barren) bit of laboratory apparatus, left for eons, gathering dust in an abandoned world, like the broken statue of Ozymandius.  It’s very sad.